Least Common Multiple of 74, 72, 96, 420

Q: How to Find the LCM of 74, 72, 96, 420 ?

Least Common Multiple of 74, 72, 96, 420 = 372960 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(74, 72, 96, 420) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 x 37 = 372960.

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 74, 72, 96, 420 i.e. 372960 smallest integer divisible by all numbers.

Least common multiple (LCM) of 74, 72, 96, 420 is 372960.

LCM(74, 72, 96, 420) = 372960

LCM of 74, 72, 96, 420

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

Least Common Multiple of 74, 72, 96, 420 by common division method
Least Common Multiple of 74, 72, 96, 420 with GCF Formula

Least Common Multiple of 74,72,96,420

Least Common Multiple (LCM) of 74,72,96,420 is 372960

2	74, 72, 96, 420
2	37, 36, 48, 210
2	37, 18, 24, 105
3	37, 9, 12, 105
	37, 3, 4, 35

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 37 x 3 x 4 x 35 = 372960

Least Common Multiple of 74,72,96,420 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 74,72,96,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,72,96,420) = 2

common factors(in case of two or more numbers have common factors) = 288

GCF(74,72,96,420) x common factors =2 x 288 = 576

LCM(74,72,96,420) = ( 74 × 72 × 96 × 420 ) / 576

LCM(74,72,96,420) = 214824960 / 576

LCM(74,72,96,420) = 372960

∴ Least Common Multiple of 74,72,96,420 is 372960

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 74, 72, 96, 420

1. What is the LCM of 74, 72, 96, 420?

Answer: LCM of 74, 72, 96, 420 is 372960.

2. What are the Factors of 372960?

Answer: Factors of 372960 are . There are integers that are factors of 372960

3. How to Find the LCM of 74, 72, 96, 420 ?

Least Common Multiple of 74, 72, 96, 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(74, 72, 96, 420) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 x 37 = 372960.