Least Common Multiple of 734, 280, 264, 240

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 734, 280, 264, 240 i.e. 6782160 smallest integer divisible by all numbers.

Least common multiple (LCM) of 734, 280, 264, 240 is 6782160.

LCM(734, 280, 264, 240) = 6782160

LCM of 734, 280, 264, 240

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

LCM of:

Least Common Multiple of 734,280,264,240

Least Common Multiple (LCM) of 734,280,264,240 is 6782160

2 734, 280, 264, 240
2 367, 140, 132, 120
2 367, 70, 66, 60
3 367, 35, 33, 30
5 367, 35, 11, 10
367, 7, 11, 2

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 367 x 7 x 11 x 2 = 6782160

Least Common Multiple of 734,280,264,240 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 734,280,264,240 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(734,280,264,240) = 2

common factors(in case of two or more numbers have common factors) = 960

GCF(734,280,264,240) x common factors =2 x 960 = 1920

LCM(734,280,264,240) = ( 734 × 280 × 264 × 240 ) / 1920

LCM(734,280,264,240) = 13021747200 / 1920

LCM(734,280,264,240) = 6782160

∴ Least Common Multiple of 734,280,264,240 is 6782160

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 734, 280, 264, 240

1. What is the LCM of 734, 280, 264, 240?

Answer: LCM of 734, 280, 264, 240 is 6782160.

2. What are the Factors of 6782160?

Answer: Factors of 6782160 are . There are integers that are factors of 6782160

3. How to Find the LCM of 734, 280, 264, 240 ?

Least Common Multiple of 734, 280, 264, 240.

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(734, 280, 264, 240) = 2 x 2 x 2 x 2 x 3 x 5 x 7 x 11 x 367 = 6782160.