LCM of 4, 7 and 14 is 28. The number divisible evenly by 4, 7 and 14 is the LCM value. The Least common multiple of 4, 7 and 14 determined using the common multiples are explained effectively here. The multiples of 4 are (4, 8, 12, 16, 20, ….), the multiples of 7 are (7, 14, 21, 28, 35, …..) and the multiples of 14 are (14, 28, 42, 56, 70, ….) respectively. Prime factorisation, listing of the multiples and division are the methods used to determine the LCM value.
Also read: Least common multiple
What is LCM of 4, 7 and 14?
The answer to this question is 28. The LCM of 4, 7 and 14 using various methods is shown in this article for your reference. The LCM of two non-zero integers, 4, 7 and 14, is the smallest positive integer 28 which is divisible by both 4, 7 and 14 with no remainder.
How to Find LCM of 4, 7 and 14?
LCM of 4, 7 and 14 can be found using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 4, 7 and 14 Using Prime Factorisation Method
The prime factorisation of 4, 7 and 14, respectively, is given by:
4 = 2 x 2 = 2²
7 = 7 = 7¹
14 = 2 x 7 = 2¹ x 7¹
LCM (4, 7, 14) = 28
LCM of 4, 7 and 14 Using Division Method
We’ll divide the numbers (4, 7, 14) by their prime factors to get the LCM of 4, 7 and 14 using the division method (preferably common). The LCM of 4, 7 and 14 is calculated by multiplying these divisors.
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2 |
4 |
7 |
14 |
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2 |
2 |
7 |
7 |
|
7 |
1 |
7 |
7 |
|
x |
1 |
1 |
1 |
No further division can be done.
Hence, LCM (4, 7, 14) = 28
LCM of 4, 7 and 14 Using Listing the Multiples
To calculate the LCM of 4, 7 and 14 by listing out the common multiples, list the multiples as shown below
Multiples of 4 = 4, 8, 12, 16, 20, 24, 28, 32, ………
Multiples of 7 = 7, 14, 21, 28, 35, ……
Multiples of 14 = 14, 28, 42, 56, 70, ….
LCM (4, 7, 14) = 28
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LCM of 4, 7 and 14 Solved Examples
Question: Which is the LCM of 4, 7 and 14 among 50, 12, 42 and 28?
Solution:
LCM is the smallest common multiple which is divisible evenly by the given numbers.
The number which satisfies this condition is 28.
Hence, the LCM of 4, 7 and 14 is 28.
Frequently Asked Questions on LCM of 4, 7 and 14
What is the LCM of 4, 7 and 14?
What is the GCF if the LCM of 4, 7 and 14 is 28?
LCM x GCF = 4 x 7 x 14
Given
LCM of 4, 7 and 14 is 28
28 x GCF = 392
GCF = 392/28 = 14
List the methods used to find the LCM of 4, 7 and 14.
Using prime factorisation, find the LCM of 4, 7 and 14.
Using prime factorisation,
4 = 2 x 2
7 = 7 = 7
14 = 2 x 7 = 2
LCM of 4,7 and 14 = 28
Determine the LCM of 4, 7 and 14.
LCM of 4, 7 and 14 can be found by listing the multiples
(4, 8, 12, 16, 20, 24, 28, 32, ….) are the multiples of 4
(7, 14, 21, 28, 35, ……) are the multiples of 7
(14, 28, 42, 56, 70, ….) are the multiples of 14
LCM of 4, 7 and 14 is 28.
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