Least Common Multiple of 45, 81, 54, 377

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, 81, 54, 377 i.e. 305370 smallest integer divisible by all numbers.

Least common multiple (LCM) of 45, 81, 54, 377 is 305370.

LCM(45, 81, 54, 377) = 305370

LCM of 45, 81, 54, 377

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

LCM of:

Least Common Multiple of 45,81,54,377

Least Common Multiple (LCM) of 45,81,54,377 is 305370

3 45, 81, 54, 377
3 15, 27, 18, 377
3 5, 9, 6, 377
5, 3, 2, 377

∴ So the LCM of the given numbers is 3 x 3 x 3 x 5 x 3 x 2 x 377 = 305370

Least Common Multiple of 45,81,54,377 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 45,81,54,377 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,81,54,377) = 1

common factors(in case of two or more numbers have common factors) = 243

GCF(45,81,54,377) x common factors =1 x 243 = 243

LCM(45,81,54,377) = ( 45 × 81 × 54 × 377 ) / 243

LCM(45,81,54,377) = 74204910 / 243

LCM(45,81,54,377) = 305370

∴ Least Common Multiple of 45,81,54,377 is 305370

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 45, 81, 54, 377

1. What is the LCM of 45, 81, 54, 377?

Answer: LCM of 45, 81, 54, 377 is 305370.

2. What are the Factors of 305370?

Answer: Factors of 305370 are . There are integers that are factors of 305370

3. How to Find the LCM of 45, 81, 54, 377 ?

Least Common Multiple of 45, 81, 54, 377.

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, 81, 54, 377) = 2 x 3 x 3 x 3 x 3 x 5 x 13 x 29 = 305370.