LCM of 5 and 14 is 70. In Maths, the full form of LCM is the least common multiple. The LCM concept is mainly used to make the simplification process easier. The article Least Common Multiple (LCM) is designed by subject experts in an understandable language so that students grasp the LCM concept in an efficient manner. Students who get doubts while solving problems relying on the LCM concept are advised to follow this article to understand how the concept is solved on a daily basis. Let us learn how to calculate the least common multiple of 5 and 14 with solved examples and FAQs here.
What is LCM of 5 and 14?
The answer to this question is 70.
How to Find LCM of 5 and 14?
The LCM of 5 and 14 can be determined by using the methods given below:
- Prime Factorisation
- Division method
- Listing the Multiples
LCM of 5 and 14 Using Prime Factorisation Method
The prime factorisation method is one of the most common ways of calculating LCM. To find the LCM of 5 and 14, we use the steps as follows:
5 = 5
14 = 2 × 7
LCM (5, 14) = 2 × 5 × 7 = 70
LCM of 5 and 14 Using Division Method
In the division method, to determine the least common multiple of 5 and 14, we divide the numbers 5 and 14 by their prime factors until we get the result as one in the complete row. The product of these divisors represents the least common multiple of 5 and 14.
| 2 | 5 | 14 |
| 5 | 5 | 7 |
| 7 | 1 | 7 |
| x | 1 | 1 |
No further division can be done.
Hence, LCM (5, 14) = 2 × 5 × 7 = 70
LCM of 5 and 14 Using Listing the Multiples
In this method, we list out the multiples of given numbers to find the least common multiple among them. The following are the multiples of 5 and 14.
Multiples of 5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, ………….
Multiples of 14: 14, 28, 42, 56, 70, 84, 98, 112, 126, 140,………
LCM (5, 14) = 70
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- LCM of Two Numbers
- LCM calculator
- Prime Factorization and Division Method for LCM and HCF
- LCM Formula
- LCM with Examples
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Video Lesson on Applications of LCM
Solved Examples
1. What is the smallest number that is divisible by both 5 and 14?
Solution: 70 is the smallest number that is divisible by both 5 and 14.
2. What is the lowest common factor of 5 and 14?
Solution: The lowest common factor of 5 and 14 is 70.
Frequently Asked Questions on LCM of 5 and 14
What is the LCM of 5 and 14?
Is the LCM of 5 and 14 the same as the HCF of 5 and 14?
90 is the LCM of 5 and 14. True or False.
Calculate the GCF if the LCM of 5 and 14 is 70.
GCF × LCM = 5 × 14
Given
LCM = 70
GCF × 70 = 5 × 14
GCF = 1
List the methods used to find the LCM of 5 and 14.
The methods used to find the LCM of 5 and 14 are
Prime Factorisation
Division Method
Listing the Multiples
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