Least Common Multiple of 57, 14, 64, 76, 281

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 57, 14, 64, 76, 281 i.e. 7175616 smallest integer divisible by all numbers.

Least common multiple (LCM) of 57, 14, 64, 76, 281 is 7175616.

LCM(57, 14, 64, 76, 281) = 7175616

LCM of 57, 14, 64, 76, 281

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

LCM of:

Least Common Multiple of 57,14,64,76,281

Least Common Multiple (LCM) of 57,14,64,76,281 is 7175616

2 57, 14, 64, 76, 281
2 57, 7, 32, 38, 281
19 57, 7, 16, 19, 281
3, 7, 16, 1, 281

∴ So the LCM of the given numbers is 2 x 2 x 19 x 3 x 7 x 16 x 1 x 281 = 7175616

Least Common Multiple of 57,14,64,76,281 with GCF Formula

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 57,14,64,76,281 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,14,64,76,281) = 1

common factors(in case of two or more numbers have common factors) = 152

GCF(57,14,64,76,281) x common factors =1 x 152 = 152

LCM(57,14,64,76,281) = ( 57 × 14 × 64 × 76 × 281 ) / 152

LCM(57,14,64,76,281) = 1090693632 / 152

LCM(57,14,64,76,281) = 7175616

∴ Least Common Multiple of 57,14,64,76,281 is 7175616

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 57, 14, 64, 76, 281

1. What is the LCM of 57, 14, 64, 76, 281?

Answer: LCM of 57, 14, 64, 76, 281 is 7175616.

2. What are the Factors of 7175616?

Answer: Factors of 7175616 are . There are integers that are factors of 7175616

3. How to Find the LCM of 57, 14, 64, 76, 281 ?

Least Common Multiple of 57, 14, 64, 76, 281.

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(57, 14, 64, 76, 281) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7 x 19 x 281 = 7175616.