Least Common Multiple of 45, 42, 45, 980

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 45, 42, 45, 980 i.e. 8820 smallest integer divisible by all numbers.

Least common multiple (LCM) of 45, 42, 45, 980 is 8820.

LCM(45, 42, 45, 980) = 8820

LCM of 45, 42, 45, 980

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

LCM of:

Least Common Multiple of 45,42,45,980

Least Common Multiple (LCM) of 45,42,45,980 is 8820

2 45, 42, 45, 980
3 45, 21, 45, 490
3 15, 7, 15, 490
5 5, 7, 5, 490
7 1, 7, 1, 98
1, 1, 1, 14

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 7 x 1 x 1 x 1 x 14 = 8820

Least Common Multiple of 45,42,45,980 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 45,42,45,980 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,42,45,980) = 1

common factors(in case of two or more numbers have common factors) = 9450

GCF(45,42,45,980) x common factors =1 x 9450 = 9450

LCM(45,42,45,980) = ( 45 × 42 × 45 × 980 ) / 9450

LCM(45,42,45,980) = 83349000 / 9450

LCM(45,42,45,980) = 8820

∴ Least Common Multiple of 45,42,45,980 is 8820

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 45, 42, 45, 980

1. What is the LCM of 45, 42, 45, 980?

Answer: LCM of 45, 42, 45, 980 is 8820.

2. What are the Factors of 8820?

Answer: Factors of 8820 are . There are integers that are factors of 8820

3. How to Find the LCM of 45, 42, 45, 980 ?

Least Common Multiple of 45, 42, 45, 980.

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(45, 42, 45, 980) = 2 x 2 x 3 x 3 x 5 x 7 x 7 = 8820.