Least Common Multiple of 66, 74, 76, 764

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 66, 74, 76, 764 i.e. 17724036 smallest integer divisible by all numbers.

Least common multiple (LCM) of 66, 74, 76, 764 is 17724036.

LCM(66, 74, 76, 764) = 17724036

LCM of 66, 74, 76, 764

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

LCM of:

Least Common Multiple of 66,74,76,764

Least Common Multiple (LCM) of 66,74,76,764 is 17724036

2 66, 74, 76, 764
2 33, 37, 38, 382
33, 37, 19, 191

∴ So the LCM of the given numbers is 2 x 2 x 33 x 37 x 19 x 191 = 17724036

Least Common Multiple of 66,74,76,764 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 66,74,76,764 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,74,76,764) = 2

common factors(in case of two or more numbers have common factors) = 8

GCF(66,74,76,764) x common factors =2 x 8 = 16

LCM(66,74,76,764) = ( 66 × 74 × 76 × 764 ) / 16

LCM(66,74,76,764) = 283584576 / 16

LCM(66,74,76,764) = 17724036

∴ Least Common Multiple of 66,74,76,764 is 17724036

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 66, 74, 76, 764

1. What is the LCM of 66, 74, 76, 764?

Answer: LCM of 66, 74, 76, 764 is 17724036.

2. What are the Factors of 17724036?

Answer: Factors of 17724036 are . There are integers that are factors of 17724036

3. How to Find the LCM of 66, 74, 76, 764 ?

Least Common Multiple of 66, 74, 76, 764.

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(66, 74, 76, 764) = 2 x 2 x 3 x 11 x 19 x 37 x 191 = 17724036.