LCM of 7 and 49 is 49. The number divisible evenly by 7 and 49 is the LCM value. The common multiples of the two numbers is the least common multiple of 7 and 49. The multiples of 7 are (7, 14, 21, 28, 35, 42, ….) and the multiples of 49 are (49, 98, 147, 196, 245, ….) respectively. You can get the LCM value effortlessly using prime factorisation, division and by listing out the multiples of 7 and 49.
Also read: Least common multiple
What is LCM of 7 and 49?
The answer to this question is 49. The LCM of 7 and 49 using various methods is shown in this article for your reference. The LCM of two non-zero integers, 7 and 49, is the smallest positive integer 49 which is divisible by both 7 and 49 with no remainder.
How to Find LCM of 7 and 49?
LCM of 7 and 49 can be found using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 7 and 49 Using Prime Factorisation Method
The prime factorisation of 7 and 49, respectively, is given by:
7 = 7¹
49 = 7 × 7 = 7²
LCM (7, 49) = 49
LCM of 7 and 49 Using Division Method
We’ll divide the numbers (7, 49) by their prime factors to get the LCM of 7 and 49 using the division method (preferably common). The LCM of 7 and 49 is calculated by multiplying these divisors.
|
7 |
7 |
49 |
|
7 |
1 |
7 |
|
× |
1 |
1 |
No further division can be done.
Hence, LCM (7, 49) = 49
LCM of 7 and 49 Using Listing the Multiples
To calculate the LCM of 7 and 49 by listing out the common multiples, list the multiples as shown below.
|
Multiples of 7 |
Multiples of 49 |
|
7 |
49 |
|
14 |
98 |
|
21 |
147 |
|
28 |
196 |
|
35 |
245 |
|
42 |
294 |
|
49 |
343 |
LCM (7, 49) = 49
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LCM of 7 and 49 Solved Examples
Question: The LCM and GCD of two numbers are 49 and 7 respectively. If one number is 49, what is the other number?
Solution:
Consider the number as z.
We know that
GCD × LCM = 49 × z
z = (GCD × LCM)/49
Substituting the values,
z = (7 × 49)/49
z = 7
Hence, the other number is 7.
Frequently Asked Questions on LCM of 7 and 49
Calculate the GCF if the LCM of 7 and 49 is 49.
We know that;
LCM × GCF = 7 × 49
As LCM (7, 49) is 49
49 × GCF = 343
GCF = 343/49 = 7
Calculate the LCM of 7 and 49.
Show the relation between GCF and LCM of 7 and 49.
The relation between GCF and LCM of 7 and 49 is
LCM × GCF = 7 × 49
LCM × GCF = 343
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