Least Common Multiple of 45/371, 576/908, 362/136

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/371, 576/908, 362/136 quickly i.e. 521280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/371, 576/908, 362/136 is 521280.

LCM(45/371, 576/908, 362/136) = 521280

LCM of 45/371, 576/908, 362/136

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 45/371,576/908,362/136

Given numbers are 45/371,576/908,362/136

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 45,576,362

Least Common Multiple of Numerators i.e. LCM of 45,576,362 is 521280.

GCF of Denominators means GCF of 371,908,136 as per the given fractions.

GCF of 371,908,136 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,576,362

LCM of Fractions 45/371,576/908,362/136 is 521280

2 45, 576, 362
3 45, 288, 181
3 15, 96, 181
5, 32, 181

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 32 x 181 = 521280

Least Common Multiple of 45,576,362 with GCF Formula

Least Common Multiple of 45,576,362 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 45,576,362 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,576,362) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(45,576,362) x common factors =1 x 18 = 18

LCM(45,576,362) = ( 45 × 576 × 362 ) / 18

LCM(45,576,362) = 9383040 / 18

LCM(45,576,362) = 521280


Lets's calculate GCF of 371,908,136

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 521280/1

Therefore the LCM of Fractions 45/371,576/908,362/136 is 521280

Greatest Common Factor of 371,908,136 By Matching Biggest Common Factor Method

Greatest Common Factor of 371,908,136 By Matching Biggest Common Factor Method

Factors of 371

List of positive integer factors of 371 that divides 371 without a remainder.

1,7,53,371

Factors of 908

List of positive integer factors of 908 that divides 908 without a remainder.

1,2,4,227,454,908

Factors of 136

List of positive integer factors of 136 that divides 136 without a remainder.

1,2,4,8,17,34,68,136

Greatest Common Factor

We found the factors 371,908,136 . The biggest common factor number is the GCF number.
So the greatest common factor 371,908,136 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 45/371, 576/908, 362/136

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 45/371, 576/908, 362/136?

Answer: LCM of Numerators as per given numbers 45/371, 576/908, 362/136 is

LCM of Numerators i.e. for 45,576,362 is 521280

GCF of denominators i.e. for 371,908,136 is 1.

Thus, LCM of Fractions is 521280.Finally, LCM of Fractions for 45/371, 576/908, 362/136 is 521280.