Least Common Multiple of 90, 68, 36, 750

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 90, 68, 36, 750 i.e. 76500 smallest integer divisible by all numbers.

Least common multiple (LCM) of 90, 68, 36, 750 is 76500.

LCM(90, 68, 36, 750) = 76500

LCM of 90, 68, 36, 750

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

LCM of:

Least Common Multiple of 90,68,36,750

Least Common Multiple (LCM) of 90,68,36,750 is 76500

2 90, 68, 36, 750
2 45, 34, 18, 375
3 45, 17, 9, 375
3 15, 17, 3, 125
5 5, 17, 1, 125
1, 17, 1, 25

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 5 x 1 x 17 x 1 x 25 = 76500

Least Common Multiple of 90,68,36,750 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 90,68,36,750 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,68,36,750) = 2

common factors(in case of two or more numbers have common factors) = 1080

GCF(90,68,36,750) x common factors =2 x 1080 = 2160

LCM(90,68,36,750) = ( 90 × 68 × 36 × 750 ) / 2160

LCM(90,68,36,750) = 165240000 / 2160

LCM(90,68,36,750) = 76500

∴ Least Common Multiple of 90,68,36,750 is 76500

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 90, 68, 36, 750

1. What is the LCM of 90, 68, 36, 750?

Answer: LCM of 90, 68, 36, 750 is 76500.

2. What are the Factors of 76500?

Answer: Factors of 76500 are . There are integers that are factors of 76500

3. How to Find the LCM of 90, 68, 36, 750 ?

Least Common Multiple of 90, 68, 36, 750.

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(90, 68, 36, 750) = 2 x 2 x 3 x 3 x 5 x 5 x 5 x 17 = 76500.