Least Common Multiple of 94, 49, 36, 420

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 94, 49, 36, 420 i.e. 414540 smallest integer divisible by all numbers.

Least common multiple (LCM) of 94, 49, 36, 420 is 414540.

LCM(94, 49, 36, 420) = 414540

LCM of 94, 49, 36, 420

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

LCM of:

Least Common Multiple of 94,49,36,420

Least Common Multiple (LCM) of 94,49,36,420 is 414540

2 94, 49, 36, 420
2 47, 49, 18, 210
3 47, 49, 9, 105
7 47, 49, 3, 35
47, 7, 3, 5

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 47 x 7 x 3 x 5 = 414540

Least Common Multiple of 94,49,36,420 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 94,49,36,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,49,36,420) = 1

common factors(in case of two or more numbers have common factors) = 168

GCF(94,49,36,420) x common factors =1 x 168 = 168

LCM(94,49,36,420) = ( 94 × 49 × 36 × 420 ) / 168

LCM(94,49,36,420) = 69642720 / 168

LCM(94,49,36,420) = 414540

∴ Least Common Multiple of 94,49,36,420 is 414540

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 94, 49, 36, 420

1. What is the LCM of 94, 49, 36, 420?

Answer: LCM of 94, 49, 36, 420 is 414540.

2. What are the Factors of 414540?

Answer: Factors of 414540 are . There are integers that are factors of 414540

3. How to Find the LCM of 94, 49, 36, 420 ?

Least Common Multiple of 94, 49, 36, 420.

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(94, 49, 36, 420) = 2 x 2 x 3 x 3 x 5 x 7 x 7 x 47 = 414540.