Least Common Multiple of 743, 456, 920, 423

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 743, 456, 920, 423 i.e. 5493771720 smallest integer divisible by all numbers.

Least common multiple (LCM) of 743, 456, 920, 423 is 5493771720.

LCM(743, 456, 920, 423) = 5493771720

LCM of 743, 456, 920, 423

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

LCM of:

Least Common Multiple of 743,456,920,423

Least Common Multiple (LCM) of 743,456,920,423 is 5493771720

2 743, 456, 920, 423
2 743, 228, 460, 423
2 743, 114, 230, 423
3 743, 57, 115, 423
743, 19, 115, 141

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 743 x 19 x 115 x 141 = 5493771720

Least Common Multiple of 743,456,920,423 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 743,456,920,423 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(743,456,920,423) = 1

common factors(in case of two or more numbers have common factors) = 24

GCF(743,456,920,423) x common factors =1 x 24 = 24

LCM(743,456,920,423) = ( 743 × 456 × 920 × 423 ) / 24

LCM(743,456,920,423) = 131850521280 / 24

LCM(743,456,920,423) = 5493771720

∴ Least Common Multiple of 743,456,920,423 is 5493771720

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 743, 456, 920, 423

1. What is the LCM of 743, 456, 920, 423?

Answer: LCM of 743, 456, 920, 423 is 5493771720.

2. What are the Factors of 5493771720?

Answer: Factors of 5493771720 are . There are integers that are factors of 5493771720

3. How to Find the LCM of 743, 456, 920, 423 ?

Least Common Multiple of 743, 456, 920, 423.

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(743, 456, 920, 423) = 2 x 2 x 2 x 3 x 3 x 5 x 19 x 23 x 47 x 743 = 5493771720.