Least Common Multiple of 10, 20, 55, 40, 45

Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 10, 20, 55, 40, 45 i.e. 3960 smallest integer divisible by all numbers.

Least common multiple (LCM) of 10, 20, 55, 40, 45 is 3960.

LCM(10, 20, 55, 40, 45) = 3960

LCM of 10, 20, 55, 40, 45

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

LCM of:

Least Common Multiple (LCM) of 10,20,55,40,45 By Common Division

2 10, 20, 55, 40, 45
2 5, 10, 55, 20, 45
5 5, 5, 55, 10, 45
1, 1, 11, 2, 9

∴ So the LCM of the given numbers is 2 x 2 x 5 x 1 x 1 x 11 x 2 x 9 = 3960

Least Common Multiple of 10,20,55,40,45 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 10,20,55,40,45 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,20,55,40,45) = 5

common factors(in case of two or more numbers have common factors) = 1000

GCF(10,20,55,40,45) x common factors =5 x 1000 = 5000

LCM(10,20,55,40,45) = ( 10 × 20 × 55 × 40 × 45 ) / 5000

LCM(10,20,55,40,45) = 19800000 / 5000

LCM(10,20,55,40,45) = 3960

∴ Least Common Multiple of 10,20,55,40,45 is 3960

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 10, 20, 55, 40, 45

1. What is the LCM of 10, 20, 55, 40, 45?

Answer: LCM of 10, 20, 55, 40, 45 is 3960.

2. What are the Factors of 3960?

Answer: Factors of 3960 are . There are integers that are factors of 3960

3. How to Find the LCM of 10, 20, 55, 40, 45 ?

Least Common Multiple of 10, 20, 55, 40, 45.

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(10, 20, 55, 40, 45) = 2 x 2 x 2 x 3 x 3 x 5 x 11 = 3960.

Least Common Multiple of 10,20,55,40,45