Least Common Multiple of 90, 87, 768

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, 87, 768 i.e. 334080 smallest integer divisible by all numbers.

Least common multiple (LCM) of 90, 87, 768 is 334080.

LCM(90, 87, 768) = 334080

LCM of 90, 87, 768

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

LCM of:

Least Common Multiple of 90,87,768

Least Common Multiple (LCM) of 90,87,768 is 334080

2 90, 87, 768
3 45, 87, 384
15, 29, 128

∴ So the LCM of the given numbers is 2 x 3 x 15 x 29 x 128 = 334080

Least Common Multiple of 90,87,768 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 90,87,768 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,87,768) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(90,87,768) x common factors =3 x 6 = 18

LCM(90,87,768) = ( 90 × 87 × 768 ) / 18

LCM(90,87,768) = 6013440 / 18

LCM(90,87,768) = 334080

∴ Least Common Multiple of 90,87,768 is 334080

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 90, 87, 768

1. What is the LCM of 90, 87, 768?

Answer: LCM of 90, 87, 768 is 334080.

2. What are the Factors of 334080?

Answer: Factors of 334080 are . There are integers that are factors of 334080

3. How to Find the LCM of 90, 87, 768 ?

Least Common Multiple of 90, 87, 768.

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, 87, 768) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 29 = 334080.