Least Common Multiple of 57, 68, 76, 470

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, 68, 76, 470 i.e. 910860 smallest integer divisible by all numbers.

Least common multiple (LCM) of 57, 68, 76, 470 is 910860.

LCM(57, 68, 76, 470) = 910860

LCM of 57, 68, 76, 470

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

LCM of:

Least Common Multiple of 57,68,76,470

Least Common Multiple (LCM) of 57,68,76,470 is 910860

2 57, 68, 76, 470
2 57, 34, 38, 235
19 57, 17, 19, 235
3, 17, 1, 235

∴ So the LCM of the given numbers is 2 x 2 x 19 x 3 x 17 x 1 x 235 = 910860

Least Common Multiple of 57,68,76,470 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 57,68,76,470 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,68,76,470) = 1

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

GCF(57,68,76,470) x common factors =1 x 152 = 152

LCM(57,68,76,470) = ( 57 × 68 × 76 × 470 ) / 152

LCM(57,68,76,470) = 138450720 / 152

LCM(57,68,76,470) = 910860

∴ Least Common Multiple of 57,68,76,470 is 910860

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 57, 68, 76, 470

1. What is the LCM of 57, 68, 76, 470?

Answer: LCM of 57, 68, 76, 470 is 910860.

2. What are the Factors of 910860?

Answer: Factors of 910860 are . There are integers that are factors of 910860

3. How to Find the LCM of 57, 68, 76, 470 ?

Least Common Multiple of 57, 68, 76, 470.

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, 68, 76, 470) = 2 x 2 x 3 x 5 x 17 x 19 x 47 = 910860.