Least Common Multiple of 750, 3408

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 750, 3408 i.e. 426000 smallest integer divisible by all numbers.

Least common multiple (LCM) of 750, 3408 is 426000.

LCM(750, 3408) = 426000

LCM of 750, 3408

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

LCM of:

Least Common Multiple of 750,3408

Least Common Multiple (LCM) of 750,3408 is 426000

2 750, 3408
3 375, 1704
125, 568

∴ So the LCM of the given numbers is 2 x 3 x 125 x 568 = 426000

Least Common Multiple of 750,3408 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 750,3408 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(750,3408) = 6

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

GCF(750,3408) x common factors =6 x 1 = 6

LCM(750,3408) = ( 750 × 3408 ) / 6

LCM(750,3408) = 2556000 / 6

LCM(750,3408) = 426000

∴ Least Common Multiple of 750,3408 is 426000

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 750, 3408

1. What is the LCM of 750, 3408?

Answer: LCM of 750, 3408 is 426000.

2. What are the Factors of 426000?

Answer: Factors of 426000 are . There are integers that are factors of 426000

3. How to Find the LCM of 750, 3408 ?

Least Common Multiple of 750, 3408.

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(750, 3408) = 2 x 2 x 2 x 2 x 3 x 5 x 5 x 5 x 71 = 426000.