LCM of 4, 5 and 7 is 140. In Maths, the LCM of any two numbers is the value which is evenly divisible by the given two numbers. The smallest number among all frequent multiples of 4, 5, and 7 is the LCM of 4, 5, and 7. (4, 8, 12, 16, 20, etc. ), (5, 10, 15, 20, 25, etc. ), and (7, 14, 21, 28, 35, etc.) are the first few multiples of 4, 5, and 7. To find the LCM of 4, 5, 7, there are three typical methods: prime factorization, listing multiples, and division.
Also read: Least common multiple
What is LCM of 4, 5 and 7?
The answer to this question is 140. The LCM of 4, 5 and 7 using various methods is shown in this article for your reference. The LCM of two non-zero integers, 4, 5 and 7, is the smallest positive integer 140 which is divisible by both 4, 5 and 7 with no remainder.
How to Find LCM of 4, 5 and 7?
LCM of 4, 5 and 7 can be found using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 4, 5 and 7 Using Prime Factorisation Method
The prime factorisation of 4, 5 and 7, respectively, is given by:
4 = (2 × 2) = 22,
(5) = 51, and
(7) = 71
LCM (4, 5, 7) = 140
LCM of 4, 5 and 7 Using Division Method
We’ll divide the numbers (4, 5, 7) by their prime factors to get the LCM of 4, 5 and 7 using the division method (preferably common). The LCM of 4, 5 and 7 is calculated by multiplying these divisors.
| 2 | 4 | 5 | 7 |
| 2 | 2 | 5 | 7 |
| 5 | 1 | 5 | 7 |
| 7 | 1 | 1 | 7 |
| x | 1 | 1 | 1 |
No further division can be done.
Hence, LCM (4, 5, 7) = 140
LCM of 4, 5 and 7 Using Listing the Multiples
To calculate the LCM of 4, 5 and 7 by listing out the common multiples, list the multiples as shown below
| Multiples of 4 | Multiples of 5 | Multiples of 7 |
| 4 | 5 | 7 |
| 8 | 10 | 14 |
| 12 | 15 | 21 |
| ……. | ….. | ….. |
| 140 | 140 | 140 |
The smallest common multiple of 4, 5 and 7 is 140.
Therefore LCM (4, 5, 7) = 140
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LCM of 4, 5 and 7 Solved Example
Find the smallest number that is divisible by 4, 5, 7 exactly.
Solution:
The value of LCM(4, 5, 7) will be the smallest number that is exactly divisible by 4, 5, and 7.
⇒ Multiples of 4, 5, and 7:
Multiples of 4 = 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, . . . ., 124, 128, 132, 136, 140, . . . .
Multiples of 5 = 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, . . . ., 120, 125, 130, 135, 140, . . . .
Multiples of 7 = 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, . . . ., 126, 133, 140, . . . .
Therefore, the LCM of 4, 5, and 7 is 140.
Frequently Asked Questions on LCM of 4, 5 and 7
What is the LCM of 4, 5 and 7?
List the methods used to find the LCM of 4, 5 and 7.
What is the Relation Between GCF and LCM of 4, 5, 7?
What is the Least Perfect Square Divisible by 4, 5, and 7?
LCM of 4, 5, and 7 = 2 × 2 × 5 × 7 [Incomplete pair(s): 5, 7] ⇒ Least perfect square divisible by each 4, 5, and 7 = LCM(4, 5, 7) × 5 × 7 = 4900 [Square root of 4900 = √4900 = ±70] Therefore, 4900 is the required number.
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