Least Common Multiple of 462, 3768

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 462, 3768 i.e. 290136 smallest integer divisible by all numbers.

Least common multiple (LCM) of 462, 3768 is 290136.

LCM(462, 3768) = 290136

LCM of 462, 3768

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

LCM of:

Least Common Multiple of 462,3768

Least Common Multiple (LCM) of 462,3768 is 290136

2 462, 3768
3 231, 1884
77, 628

∴ So the LCM of the given numbers is 2 x 3 x 77 x 628 = 290136

Least Common Multiple of 462,3768 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 462,3768 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(462,3768) = 6

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

GCF(462,3768) x common factors =6 x 1 = 6

LCM(462,3768) = ( 462 × 3768 ) / 6

LCM(462,3768) = 1740816 / 6

LCM(462,3768) = 290136

∴ Least Common Multiple of 462,3768 is 290136

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 462, 3768

1. What is the LCM of 462, 3768?

Answer: LCM of 462, 3768 is 290136.

2. What are the Factors of 290136?

Answer: Factors of 290136 are . There are integers that are factors of 290136

3. How to Find the LCM of 462, 3768 ?

Least Common Multiple of 462, 3768.

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(462, 3768) = 2 x 2 x 2 x 3 x 7 x 11 x 157 = 290136.