Least Common Multiple of 45, 45, 11, 441

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, 45, 11, 441 i.e. 24255 smallest integer divisible by all numbers.

Least common multiple (LCM) of 45, 45, 11, 441 is 24255.

LCM(45, 45, 11, 441) = 24255

LCM of 45, 45, 11, 441

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

LCM of:

Least Common Multiple of 45,45,11,441

Least Common Multiple (LCM) of 45,45,11,441 is 24255

3 45, 45, 11, 441
3 15, 15, 11, 147
5 5, 5, 11, 49
1, 1, 11, 49

∴ So the LCM of the given numbers is 3 x 3 x 5 x 1 x 1 x 11 x 49 = 24255

Least Common Multiple of 45,45,11,441 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 45,45,11,441 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,45,11,441) = 1

common factors(in case of two or more numbers have common factors) = 405

GCF(45,45,11,441) x common factors =1 x 405 = 405

LCM(45,45,11,441) = ( 45 × 45 × 11 × 441 ) / 405

LCM(45,45,11,441) = 9823275 / 405

LCM(45,45,11,441) = 24255

∴ Least Common Multiple of 45,45,11,441 is 24255

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 45, 45, 11, 441

1. What is the LCM of 45, 45, 11, 441?

Answer: LCM of 45, 45, 11, 441 is 24255.

2. What are the Factors of 24255?

Answer: Factors of 24255 are . There are integers that are factors of 24255

3. How to Find the LCM of 45, 45, 11, 441 ?

Least Common Multiple of 45, 45, 11, 441.

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, 45, 11, 441) = 3 x 3 x 5 x 7 x 7 x 11 = 24255.