Least Common Multiple of 9, 45, 20, 42

Q: How to Find the LCM of 9, 45, 20, 42 ?

Least Common Multiple of 9, 45, 20, 42 = 1260 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(9, 45, 20, 42) = 2 x 2 x 3 x 3 x 5 x 7 = 1260.

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 9, 45, 20, 42 i.e. 1260 smallest integer divisible by all numbers.

Least common multiple (LCM) of 9, 45, 20, 42 is 1260.

LCM(9, 45, 20, 42) = 1260

LCM of 9, 45, 20, 42

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

Least Common Multiple of 9, 45, 20, 42 by common division method
Least Common Multiple of 9, 45, 20, 42 with GCF Formula

Least Common Multiple of 9,45,20,42

Least Common Multiple (LCM) of 9,45,20,42 is 1260

2	9, 45, 20, 42
3	9, 45, 10, 21
3	3, 15, 10, 7
5	1, 5, 10, 7
	1, 1, 2, 7

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 1 x 1 x 2 x 7 = 1260

Least Common Multiple of 9,45,20,42 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 9,45,20,42 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9,45,20,42) = 1

common factors(in case of two or more numbers have common factors) = 270

GCF(9,45,20,42) x common factors =1 x 270 = 270

LCM(9,45,20,42) = ( 9 × 45 × 20 × 42 ) / 270

LCM(9,45,20,42) = 340200 / 270

LCM(9,45,20,42) = 1260

∴ Least Common Multiple of 9,45,20,42 is 1260

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 9, 45, 20, 42

1. What is the LCM of 9, 45, 20, 42?

Answer: LCM of 9, 45, 20, 42 is 1260.

2. What are the Factors of 1260?

Answer: Factors of 1260 are . There are integers that are factors of 1260

3. How to Find the LCM of 9, 45, 20, 42 ?

Least Common Multiple of 9, 45, 20, 42.

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(9, 45, 20, 42) = 2 x 2 x 3 x 3 x 5 x 7 = 1260.