Least Common Multiple of 774, 312, 516, 552

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 774, 312, 516, 552 i.e. 925704 smallest integer divisible by all numbers.

Least common multiple (LCM) of 774, 312, 516, 552 is 925704.

LCM(774, 312, 516, 552) = 925704

LCM of 774, 312, 516, 552

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

LCM of:

Least Common Multiple of 774,312,516,552

Least Common Multiple (LCM) of 774,312,516,552 is 925704

2 774, 312, 516, 552
2 387, 156, 258, 276
2 387, 78, 129, 138
3 387, 39, 129, 69
43 43, 13, 129, 23
1, 13, 3, 23

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 43 x 1 x 13 x 3 x 23 = 925704

Least Common Multiple of 774,312,516,552 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 774,312,516,552 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(774,312,516,552) = 6

common factors(in case of two or more numbers have common factors) = 12384

GCF(774,312,516,552) x common factors =6 x 12384 = 74304

LCM(774,312,516,552) = ( 774 × 312 × 516 × 552 ) / 74304

LCM(774,312,516,552) = 68783510016 / 74304

LCM(774,312,516,552) = 925704

∴ Least Common Multiple of 774,312,516,552 is 925704

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 774, 312, 516, 552

1. What is the LCM of 774, 312, 516, 552?

Answer: LCM of 774, 312, 516, 552 is 925704.

2. What are the Factors of 925704?

Answer: Factors of 925704 are . There are integers that are factors of 925704

3. How to Find the LCM of 774, 312, 516, 552 ?

Least Common Multiple of 774, 312, 516, 552.

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(774, 312, 516, 552) = 2 x 2 x 2 x 3 x 3 x 13 x 23 x 43 = 925704.