Least Common Multiple of 774, 312, 396

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, 396 i.e. 442728 smallest integer divisible by all numbers.

Least common multiple (LCM) of 774, 312, 396 is 442728.

LCM(774, 312, 396) = 442728

LCM of 774, 312, 396

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

LCM of:

Least Common Multiple of 774,312,396

Least Common Multiple (LCM) of 774,312,396 is 442728

2 774, 312, 396
2 387, 156, 198
3 387, 78, 99
3 129, 26, 33
43, 26, 11

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 43 x 26 x 11 = 442728

Least Common Multiple of 774,312,396 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 774,312,396 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(774,312,396) = 6

common factors(in case of two or more numbers have common factors) = 36

GCF(774,312,396) x common factors =6 x 36 = 216

LCM(774,312,396) = ( 774 × 312 × 396 ) / 216

LCM(774,312,396) = 95629248 / 216

LCM(774,312,396) = 442728

∴ Least Common Multiple of 774,312,396 is 442728

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

Frequently Asked Questions on LCM of 774, 312, 396

1. What is the LCM of 774, 312, 396?

Answer: LCM of 774, 312, 396 is 442728.

2. What are the Factors of 442728?

Answer: Factors of 442728 are . There are integers that are factors of 442728

3. How to Find the LCM of 774, 312, 396 ?

Least Common Multiple of 774, 312, 396.

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, 396) = 2 x 2 x 2 x 3 x 3 x 11 x 13 x 43 = 442728.