Least Common Multiple of 20, 75, 75, 407

Q: How to Find the LCM of 20, 75, 75, 407 ?

Least Common Multiple of 20, 75, 75, 407 = 122100 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, 75, 75, 407) = 2 x 2 x 3 x 5 x 5 x 11 x 37 = 122100.

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, 75, 75, 407 i.e. 122100 smallest integer divisible by all numbers.

Least common multiple (LCM) of 20, 75, 75, 407 is 122100.

LCM(20, 75, 75, 407) = 122100

LCM of 20, 75, 75, 407

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

Least Common Multiple of 20, 75, 75, 407 by common division method
Least Common Multiple of 20, 75, 75, 407 with GCF Formula

Least Common Multiple of 20,75,75,407

Least Common Multiple (LCM) of 20,75,75,407 is 122100

3	20, 75, 75, 407
5	20, 25, 25, 407
5	4, 5, 5, 407
	4, 1, 1, 407

∴ So the LCM of the given numbers is 3 x 5 x 5 x 4 x 1 x 1 x 407 = 122100

Least Common Multiple of 20,75,75,407 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 20,75,75,407 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,75,75,407) = 1

common factors(in case of two or more numbers have common factors) = 375

GCF(20,75,75,407) x common factors =1 x 375 = 375

LCM(20,75,75,407) = ( 20 × 75 × 75 × 407 ) / 375

LCM(20,75,75,407) = 45787500 / 375

LCM(20,75,75,407) = 122100

∴ Least Common Multiple of 20,75,75,407 is 122100

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, 75, 75, 407

1. What is the LCM of 20, 75, 75, 407?

Answer: LCM of 20, 75, 75, 407 is 122100.

2. What are the Factors of 122100?

Answer: Factors of 122100 are . There are integers that are factors of 122100

3. How to Find the LCM of 20, 75, 75, 407 ?

Least Common Multiple of 20, 75, 75, 407.

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, 75, 75, 407) = 2 x 2 x 3 x 5 x 5 x 11 x 37 = 122100.