Least Common Multiple of 12, 50, 19, 306

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 12, 50, 19, 306 i.e. 290700 smallest integer divisible by all numbers.

Least common multiple (LCM) of 12, 50, 19, 306 is 290700.

LCM(12, 50, 19, 306) = 290700

LCM of 12, 50, 19, 306

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

LCM of:

Least Common Multiple of 12,50,19,306

Least Common Multiple (LCM) of 12,50,19,306 is 290700

2 12, 50, 19, 306
3 6, 25, 19, 153
2, 25, 19, 51

∴ So the LCM of the given numbers is 2 x 3 x 2 x 25 x 19 x 51 = 290700

Least Common Multiple of 12,50,19,306 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 12,50,19,306 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,50,19,306) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(12,50,19,306) x common factors =1 x 12 = 12

LCM(12,50,19,306) = ( 12 × 50 × 19 × 306 ) / 12

LCM(12,50,19,306) = 3488400 / 12

LCM(12,50,19,306) = 290700

∴ Least Common Multiple of 12,50,19,306 is 290700

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 12, 50, 19, 306

1. What is the LCM of 12, 50, 19, 306?

Answer: LCM of 12, 50, 19, 306 is 290700.

2. What are the Factors of 290700?

Answer: Factors of 290700 are . There are integers that are factors of 290700

3. How to Find the LCM of 12, 50, 19, 306 ?

Least Common Multiple of 12, 50, 19, 306.

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(12, 50, 19, 306) = 2 x 2 x 3 x 3 x 5 x 5 x 17 x 19 = 290700.