Least Common Multiple of 40, 28, 952
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 40, 28, 952 i.e. 4760 smallest integer divisible by all numbers.
Least common multiple (LCM) of 40, 28, 952 is 4760.
LCM(40, 28, 952) = 4760
LCM of 40, 28, 952
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 40, 28, 952 by common division method
- Least Common Multiple of 40, 28, 952 with GCF Formula
Least Common Multiple (LCM) of 40,28,952 is 4760
| 2 | 40, 28, 952 |
| 2 | 20, 14, 476 |
| 2 | 10, 7, 238 |
| 7 | 5, 7, 119 |
| 5, 1, 17 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 5 x 1 x 17 = 4760
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 40,28,952 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(40,28,952) = 4
common factors(in case of two or more numbers have common factors) = 56
GCF(40,28,952) x common factors =4 x 56 = 224
LCM(40,28,952) = ( 40 × 28 × 952 ) / 224
LCM(40,28,952) = 1066240 / 224
LCM(40,28,952) = 4760
∴ Least Common Multiple of 40,28,952 is 4760
LCM of two or more Numbers Calculation Examples
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Frequently Asked Questions on LCM of 40, 28, 952
1. What is the LCM of 40, 28, 952?
Answer: LCM of 40, 28, 952 is 4760.
2. What are the Factors of 4760?
Answer: Factors of 4760 are . There are integers that are factors of 4760
3. How to Find the LCM of 40, 28, 952 ?
Least Common Multiple of 40, 28, 952.
Step 1: Divide all the numbers with common prime numbers having remainder zero.
Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(40, 28, 952) = 2 x 2 x 2 x 5 x 7 x 17 = 4760.