LCM of 49 and 63 is 441. With the help of the multiples of 49 and 63, the number divisible by 49 and 63 will determine the LCM value. Least common multiple of 49 and 63 is the multiple we obtain effortlessly using the multiplication process. (49, 98, 147, 196, 245, ….) and (63, 126, 189, 252, 315, 378, 441, ….) are the multiples of 49 and 63. The stepwise explanation to find the LCM of two numbers using the methods like listing multiples, prime factorization and division are given here in an interactive manner.
Also read: Least common multiple
What is LCM of 49 and 63?
The answer to this question is 441. The LCM of 49 and 63 using various methods is shown in this article for your reference. The LCM of two non-zero integers, 49 and 63, is the smallest positive integer 441 which is divisible by both 49 and 63 with no remainder.
How to Find LCM of 49 and 63?
LCM of 49 and 63 can be found using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 49 and 63 Using Prime Factorisation Method
The prime factorisation of 49 and 63, respectively, is given by:
49 = 7 x 7 = 7²
63 = 3 x 3 x 7 = 3² x 7¹
LCM (49, 63) = 441
LCM of 49 and 63 Using Division Method
We’ll divide the numbers (49, 63) by their prime factors to get the LCM of 49 and 63 using the division method (preferably common). The LCM of 49 and 63 is calculated by multiplying these divisors.
|
3 |
49 |
63 |
|
3 |
49 |
21 |
|
7 |
49 |
7 |
|
7 |
7 |
1 |
|
x |
1 |
1 |
No further division can be done.
Hence, LCM (49, 63) = 441
LCM of 49 and 63 Using Listing the Multiples
To calculate the LCM of 49 and 63 by listing out the common multiples, list the multiples as shown below
|
Multiples of 49 |
Multiples of 63 |
|
49 |
63 |
|
98 |
126 |
|
147 |
189 |
|
196 |
252 |
|
245 |
315 |
|
294 |
378 |
|
343 |
441 |
|
392 |
504 |
|
441 |
567 |
LCM (49, 63) = 441
Related Articles
- Prime Factorization and Division Method for LCM and HCF
- Prime Factors
- Properties of HCF and LCM
- LCM Formula
Video Lesson on Applications of LCM
LCM of 49 and 63 Solved Examples
Question: The LCM and GCD of two numbers are 441 and 7 respectively. If one number is 49, determine the other.
Solution:
Consider x as the other number
(GCD) × (LCM) = 49 × x
x = (GCD × LCM)/ 49
x = (7 × 441)/49
x = 63
Hence, the other number is 63.
Frequently Asked Questions on LCM of 49 and 63
What methods can we use to find the LCM of 49 and 63.
With the help of the prime factorisation, calculate the LCM of 49 and 63.
First we have to know the factors to find the LCM
49 = 7 × 7 = 7²
63 = 3 × 3 × 7 = 3² × 7¹
LCM is the product of prime factors raised to the highest exponent among 49 and 63.
LCM of 49 and 63 = 441
What is the GCF if the LCM of 49 and 63 is 441?
LCM × GCF = 49 × 63
As the LCM = 441
441 × GCF = 3087
GCF = 3087/441 = 7
Comments