Least Common Multiple of 744, 732, 366

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 744, 732, 366 i.e. 45384 smallest integer divisible by all numbers.

Least common multiple (LCM) of 744, 732, 366 is 45384.

LCM(744, 732, 366) = 45384

LCM of 744, 732, 366

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

LCM of:

Least Common Multiple of 744,732,366

Least Common Multiple (LCM) of 744,732,366 is 45384

2 744, 732, 366
2 372, 366, 183
3 186, 183, 183
61 62, 61, 61
62, 1, 1

∴ So the LCM of the given numbers is 2 x 2 x 3 x 61 x 62 x 1 x 1 = 45384

Least Common Multiple of 744,732,366 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 744,732,366 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(744,732,366) = 6

common factors(in case of two or more numbers have common factors) = 732

GCF(744,732,366) x common factors =6 x 732 = 4392

LCM(744,732,366) = ( 744 × 732 × 366 ) / 4392

LCM(744,732,366) = 199326528 / 4392

LCM(744,732,366) = 45384

∴ Least Common Multiple of 744,732,366 is 45384

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 744, 732, 366

1. What is the LCM of 744, 732, 366?

Answer: LCM of 744, 732, 366 is 45384.

2. What are the Factors of 45384?

Answer: Factors of 45384 are . There are integers that are factors of 45384

3. How to Find the LCM of 744, 732, 366 ?

Least Common Multiple of 744, 732, 366.

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(744, 732, 366) = 2 x 2 x 2 x 3 x 31 x 61 = 45384.