Least Common Multiple of 20, 65, 75, 738

Q: How to Find the LCM of 20, 65, 75, 738 ?

Least Common Multiple of 20, 65, 75, 738 = 479700 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(20, 65, 75, 738) = 2 x 2 x 3 x 3 x 5 x 5 x 13 x 41 = 479700.

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 20, 65, 75, 738 i.e. 479700 smallest integer divisible by all numbers.

Least common multiple (LCM) of 20, 65, 75, 738 is 479700.

LCM(20, 65, 75, 738) = 479700

LCM of 20, 65, 75, 738

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

Least Common Multiple of 20, 65, 75, 738 by common division method
Least Common Multiple of 20, 65, 75, 738 with GCF Formula

Least Common Multiple of 20,65,75,738

Least Common Multiple (LCM) of 20,65,75,738 is 479700

2	20, 65, 75, 738
3	10, 65, 75, 369
5	10, 65, 25, 123
	2, 13, 5, 123

∴ So the LCM of the given numbers is 2 x 3 x 5 x 2 x 13 x 5 x 123 = 479700

Least Common Multiple of 20,65,75,738 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 20,65,75,738 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,65,75,738) = 1

common factors(in case of two or more numbers have common factors) = 150

GCF(20,65,75,738) x common factors =1 x 150 = 150

LCM(20,65,75,738) = ( 20 × 65 × 75 × 738 ) / 150

LCM(20,65,75,738) = 71955000 / 150

LCM(20,65,75,738) = 479700

∴ Least Common Multiple of 20,65,75,738 is 479700

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 20, 65, 75, 738

1. What is the LCM of 20, 65, 75, 738?

Answer: LCM of 20, 65, 75, 738 is 479700.

2. What are the Factors of 479700?

Answer: Factors of 479700 are . There are integers that are factors of 479700

3. How to Find the LCM of 20, 65, 75, 738 ?

Least Common Multiple of 20, 65, 75, 738.

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(20, 65, 75, 738) = 2 x 2 x 3 x 3 x 5 x 5 x 13 x 41 = 479700.