Least Common Multiple of 462, 361, 308

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, 361, 308 i.e. 333564 smallest integer divisible by all numbers.

Least common multiple (LCM) of 462, 361, 308 is 333564.

LCM(462, 361, 308) = 333564

LCM of 462, 361, 308

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

LCM of:

Least Common Multiple of 462,361,308

Least Common Multiple (LCM) of 462,361,308 is 333564

2 462, 361, 308
7 231, 361, 154
11 33, 361, 22
3, 361, 2

∴ So the LCM of the given numbers is 2 x 7 x 11 x 3 x 361 x 2 = 333564

Least Common Multiple of 462,361,308 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 462,361,308 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(462,361,308) = 1

common factors(in case of two or more numbers have common factors) = 154

GCF(462,361,308) x common factors =1 x 154 = 154

LCM(462,361,308) = ( 462 × 361 × 308 ) / 154

LCM(462,361,308) = 51368856 / 154

LCM(462,361,308) = 333564

∴ Least Common Multiple of 462,361,308 is 333564

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, 361, 308

1. What is the LCM of 462, 361, 308?

Answer: LCM of 462, 361, 308 is 333564.

2. What are the Factors of 333564?

Answer: Factors of 333564 are . There are integers that are factors of 333564

3. How to Find the LCM of 462, 361, 308 ?

Least Common Multiple of 462, 361, 308.

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, 361, 308) = 2 x 2 x 3 x 7 x 11 x 19 x 19 = 333564.