Least Common Multiple of 45/157, 58/249, 203/285

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/157, 58/249, 203/285 quickly i.e. 18270 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/157, 58/249, 203/285 is 18270.

LCM(45/157, 58/249, 203/285) = 18270

LCM of 45/157, 58/249, 203/285

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 45/157,58/249,203/285

Given numbers are 45/157,58/249,203/285

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 45,58,203

Least Common Multiple of Numerators i.e. LCM of 45,58,203 is 18270.

GCF of Denominators means GCF of 157,249,285 as per the given fractions.

GCF of 157,249,285 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,58,203

LCM of Fractions 45/157,58/249,203/285 is 18270

29 45, 58, 203
45, 2, 7

∴ So the LCM of the given numbers is 29 x 45 x 2 x 7 = 18270

Least Common Multiple of 45,58,203 with GCF Formula

Least Common Multiple of 45,58,203 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 45,58,203 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,58,203) = 1

common factors(in case of two or more numbers have common factors) = 29

GCF(45,58,203) x common factors =1 x 29 = 29

LCM(45,58,203) = ( 45 × 58 × 203 ) / 29

LCM(45,58,203) = 529830 / 29

LCM(45,58,203) = 18270


Lets's calculate GCF of 157,249,285

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18270/1

Therefore the LCM of Fractions 45/157,58/249,203/285 is 18270

Greatest Common Factor of 157,249,285 By Matching Biggest Common Factor Method

Greatest Common Factor of 157,249,285 By Matching Biggest Common Factor Method

Factors of 157

List of positive integer factors of 157 that divides 157 without a remainder.

1,157

Factors of 249

List of positive integer factors of 249 that divides 249 without a remainder.

1,3,83,249

Factors of 285

List of positive integer factors of 285 that divides 285 without a remainder.

1,3,5,15,19,57,95,285

Greatest Common Factor

We found the factors 157,249,285 . The biggest common factor number is the GCF number.
So the greatest common factor 157,249,285 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 45/157, 58/249, 203/285

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 45/157, 58/249, 203/285?

Answer: LCM of Numerators as per given numbers 45/157, 58/249, 203/285 is

LCM of Numerators i.e. for 45,58,203 is 18270

GCF of denominators i.e. for 157,249,285 is 1.

Thus, LCM of Fractions is 18270.Finally, LCM of Fractions for 45/157, 58/249, 203/285 is 18270.