LCM

Q. 6.For positive x and y , the LCM is 225 and HCF is 15 there,

Q. 35. If, LCM of two natural numbers x and y is 360 and their difference is 66. Then, find the value of x and y.

Q. LCM of two numbers x and y is 720 and the LCM of numbers 12x and 5y is also 720. the number y is (A)180 (B)144 (C)120 (D)90

Q.

Find LCM by division method: $48,72,80$.

Q. 3.in the word problems where to use HCF and LCM?

Q.

Question 9
The least number that is divisible by all the numbers from 1 to 10 (both inclusive) is

A) 10
B) 100
C) 504
D) 2520

Q. LCM of 7/15 and 3/25 is - a]7/25 b]21/25 c]21/5 d]21/125 how opt-c comes

Q. 40. Find the LCM Of the polynomial 12(x4 - x3) and x4-3x3+2x2

Q. The smallest number which when divided by 20, 25, 35 and 40 and leaves remainders as of 14, 19, 29 and 34 respectively is

1. 1, 394
2. 1, 664
3. 1, 404
4. 1, 406

Q. What is the LCM of two prime numbers p and q?

1. 1
2. pq
3. p
4. q

Q. There is a circular path around a sports field. Priya takes 18 minutes to drive one round of the field, while Ravish takes 12 minutes for the same. Suppose they both start at the same point and at the same time, and go in the same direction. After how many minutes will they meet again at the starting point? [3 MARK]

Q.

A number is divisible by$24,25,120$ if increased by $20$. Find the number.

Q. If HCF * LCM= Product of two numbers, then will HCf * LCM =product of three numbers? if no then why?

Q.

What is the full form of G.C.D.

Q. 48. for positive integer X and Y the LCM is 289 and HCF is 17 then there (1) is exactly one such pair (2) are exactly two such pair (3) are exactly three such pair (4) are exactly four such pair

Q. The sum of two numbers $a$ and $b$ is 135 and their HCF is 27. If their LCM is 162, find $a^2+b^2$.

1. 25
2. 13

Q. find the lcm of 2^3*3^2 and 2^2*3^3

Q. The sum of two numbers $a$ and $b$ is 135 and their HCF is 27. If their LCM is 162, find $a^2+b^2$.

1. 25
2. 13

Q. On a morning walk, three persons step off together and their steps measure 40 cm, 42 cm and 45 cm, respectively. What is the minimum distance each should walk, so that each can cover the same distance in complete steps?

Q. State fundamental theorem of arithmetic

Q. If there are two no. 65 and 117 such that there lcm and hcf can be expressed in the form of 65m +117n then find the value of the m and n respectively.

Q. How to find weather we have to find hcf or lcm

Q. If the HCF of 18 and 24 is expressible in the form of $15k-24$, then find the value of $k$.

1. 2

Q. Find $GCD$ of $736$ and $85$ by using Euclid's algorithm.

Q. A seminar is being conducted by an Educational Organisation, where the participants will be educators of different subjects. The number of participants in Hindi, English and Mathematics are 60, 84 and 108 respectively.
The LCM of 60, 84 and 108 is

1. 3780
2. 3680
3. 4780
4. 4780

Q. On a morning walk, three persons step off together and their steps measure 40 cm, 42 cm and 45 cm, respectively. What is the minimum distance each should walk, so that each can cover the same distance in complete steps?

1. 2520

Q. More than One Answer Type
एक से अधिक उत्तर प्रकार के प्रश्न

The product of two positive integers a and b is 2346 and their sum is a largest two-digit prime number. If $\frac{a^3+b^3}{a+b}=n$, then which of the following option(s) is/are correct?

दो धनात्मक पूर्णांकों a व b का गुणनफल 2346 है तथा इनका योगफल दो अंकों वाली सबसे बड़ी अभाज्य संख्या है। यदि $\frac{a^3+b^3}{a+b}=n$, तब निम्न में से कौनसा/कौनसे विकल्प सही है/हैं?

1. Total number of factors of n is 2
   
   n के गुणनखण्डों की कुल संख्या 2 है
2. One of the factors of n is 534
   
   n का कोई एक गुणनखण्ड 534 है
3. Total number of distinct prime factors of n are 3
   
   n के भिन्न अभाज्य गुणनखण्डों की कुल संख्या 3 है
4. Number of odd factors of n is 2
   
   n के विषम गुणनखण्डों की संख्या 2 है

Q. The HCF of x and y is _____.

1. 15
2. 5
3. 10
4. 20

Q.

Use Euclid's algorithm to find the HCF of 4052 and 12576. [3 MARKS]

Q.

It is Maggie, Kate and Sam's sports day. They all have participated in a race. All of them run around a circular track and they complete 1 revolution in 2, 4 and 6 minutes respectively. When will they all meet at the starting point?

1. After 8 minutes

2. After 12 minutes

3. After 6 minutes

4. After 4 minutes