LCM of 14 and 122 is 854. The value equally divisible by the numbers 14 and 122 gives the LCM. The common multiples of 14 and 122 will assist you to determine the least common multiple value of the two numbers. The multiples of 14 are (14, 28, 42, 56, 70, 84, 98, ….) and the multiples of 122 are (122, 244, 366, 488, …..) respectively. For precise knowledge on the LCM concept and the methods such as division, prime factorisation and listing of the multiples, visit BYJU’S today!
Also read: Least common multiple
What is LCM of 14 and 122?
The answer to this question is 854. The LCM of 14 and 122 using various methods is shown in this article for your reference. The LCM of two non-zero integers, 14 and 122, is the smallest positive integer 854 which is divisible by both 14 and 122 with no remainder.
How to Find LCM of 14 and 122?
LCM of 14 and 122 can be found using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 14 and 122 Using Prime Factorisation Method
The prime factorisation of 14 and 122, respectively, is given by:
14 = 2 x 7 = 2¹ x 7¹
122 = 2 x 61 = 2¹ x 61¹
LCM (14, 122) = 854
LCM of 14 and 122 Using Division Method
We’ll divide the numbers (14, 122) by their prime factors to get the LCM of 14 and 122 using the division method (preferably common). The LCM of 14 and 122 is calculated by multiplying these divisors.
|
2 |
14 |
122 |
|
7 |
7 |
61 |
|
61 |
1 |
61 |
|
x |
1 |
1 |
No further division can be done.
Hence, LCM (14, 122) = 854
LCM of 14 and 122 Using Listing the Multiples
To calculate the LCM of 14 and 122 by listing out the common multiples, list the multiples as shown below
Multiples of 14 = 14, 28, 42, 56, 70, 84, 98, ….., 840, 854, 868, ……
Multiples of 122 = 122, 244, 366, 488, 610, 732, 854, …..
LCM (14, 122) = 854
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LCM of 14 and 122 Solved Examples
Question: Find the smallest number divisible by 14 and 122 exactly.
Solution:
The smallest number divisible by 14 and 122 exactly is LCM.
By listing out the multiples we know that (14, 28, 42, 56, 70, 84, 98, ….., 840, 854, 868, ……) are the multiples of 14 and (122, 244, 366, 488, 610, 732, 854, …..) are the multiples of 122.
Therefore, the LCM of 14 and 122 is 854.
Frequently Asked Questions on LCM of 14 and 122
Using prime factorisation, find the LCM of 14 and 122.
Using prime factorisation,
14 = 2 x 7
122 = 2 x 61
LCM (14, 122) = 854
What is the LCM of 14 and 122?
Mention the relation between GCF and LCM of 14 and 122.
The relation between GCF and LCM of 14 and 122 is
LCM x GCF = 14 x 122
LCM x GCF = 1708
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