Least Common Multiple of 738, 6966

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 738, 6966 i.e. 285606 smallest integer divisible by all numbers.

Least common multiple (LCM) of 738, 6966 is 285606.

LCM(738, 6966) = 285606

LCM of 738, 6966

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

LCM of:

Least Common Multiple of 738,6966

Least Common Multiple (LCM) of 738,6966 is 285606

2 738, 6966
3 369, 3483
3 123, 1161
41, 387

∴ So the LCM of the given numbers is 2 x 3 x 3 x 41 x 387 = 285606

Least Common Multiple of 738,6966 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 738,6966 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(738,6966) = 18

common factors(in case of two or more numbers have common factors) = 1

GCF(738,6966) x common factors =18 x 1 = 18

LCM(738,6966) = ( 738 × 6966 ) / 18

LCM(738,6966) = 5140908 / 18

LCM(738,6966) = 285606

∴ Least Common Multiple of 738,6966 is 285606

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 738, 6966

1. What is the LCM of 738, 6966?

Answer: LCM of 738, 6966 is 285606.

2. What are the Factors of 285606?

Answer: Factors of 285606 are . There are integers that are factors of 285606

3. How to Find the LCM of 738, 6966 ?

Least Common Multiple of 738, 6966.

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(738, 6966) = 2 x 3 x 3 x 3 x 3 x 41 x 43 = 285606.