Least Common Multiple of 72, 30, 49, 994

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 72, 30, 49, 994 i.e. 1252440 smallest integer divisible by all numbers.

Least common multiple (LCM) of 72, 30, 49, 994 is 1252440.

LCM(72, 30, 49, 994) = 1252440

LCM of 72, 30, 49, 994

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

LCM of:

Least Common Multiple of 72,30,49,994

Least Common Multiple (LCM) of 72,30,49,994 is 1252440

2 72, 30, 49, 994
3 36, 15, 49, 497
7 12, 5, 49, 497
12, 5, 7, 71

∴ So the LCM of the given numbers is 2 x 3 x 7 x 12 x 5 x 7 x 71 = 1252440

Least Common Multiple of 72,30,49,994 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 72,30,49,994 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,30,49,994) = 1

common factors(in case of two or more numbers have common factors) = 84

GCF(72,30,49,994) x common factors =1 x 84 = 84

LCM(72,30,49,994) = ( 72 × 30 × 49 × 994 ) / 84

LCM(72,30,49,994) = 105204960 / 84

LCM(72,30,49,994) = 1252440

∴ Least Common Multiple of 72,30,49,994 is 1252440

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 72, 30, 49, 994

1. What is the LCM of 72, 30, 49, 994?

Answer: LCM of 72, 30, 49, 994 is 1252440.

2. What are the Factors of 1252440?

Answer: Factors of 1252440 are . There are integers that are factors of 1252440

3. How to Find the LCM of 72, 30, 49, 994 ?

Least Common Multiple of 72, 30, 49, 994.

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(72, 30, 49, 994) = 2 x 2 x 2 x 3 x 3 x 5 x 7 x 7 x 71 = 1252440.