Least Common Multiple of 492, 7749

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 492, 7749 i.e. 30996 smallest integer divisible by all numbers.

Least common multiple (LCM) of 492, 7749 is 30996.

LCM(492, 7749) = 30996

LCM of 492, 7749

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

LCM of:

Least Common Multiple of 492,7749

Least Common Multiple (LCM) of 492,7749 is 30996

3 492, 7749
41 164, 2583
4, 63

∴ So the LCM of the given numbers is 3 x 41 x 4 x 63 = 30996

Least Common Multiple of 492,7749 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 492,7749 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(492,7749) = 123

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

GCF(492,7749) x common factors =123 x 1 = 123

LCM(492,7749) = ( 492 × 7749 ) / 123

LCM(492,7749) = 3812508 / 123

LCM(492,7749) = 30996

∴ Least Common Multiple of 492,7749 is 30996

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 492, 7749

1. What is the LCM of 492, 7749?

Answer: LCM of 492, 7749 is 30996.

2. What are the Factors of 30996?

Answer: Factors of 30996 are . There are integers that are factors of 30996

3. How to Find the LCM of 492, 7749 ?

Least Common Multiple of 492, 7749.

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(492, 7749) = 2 x 2 x 3 x 3 x 3 x 7 x 41 = 30996.