Least Common Multiple of 515/472, 103/135, 633/324

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 515/472, 103/135, 633/324 quickly i.e. 325995 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 515/472, 103/135, 633/324 is 325995.

LCM(515/472, 103/135, 633/324) = 325995

LCM of 515/472, 103/135, 633/324

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 515/472,103/135,633/324

Given numbers are 515/472,103/135,633/324

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 515,103,633

Least Common Multiple of Numerators i.e. LCM of 515,103,633 is 325995.

GCF of Denominators means GCF of 472,135,324 as per the given fractions.

GCF of 472,135,324 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 515,103,633

LCM of Fractions 515/472,103/135,633/324 is 325995

103 515, 103, 633
5, 1, 633

∴ So the LCM of the given numbers is 103 x 5 x 1 x 633 = 325995

Least Common Multiple of 515,103,633 with GCF Formula

Least Common Multiple of 515,103,633 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 515,103,633 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(515,103,633) = 1

common factors(in case of two or more numbers have common factors) = 103

GCF(515,103,633) x common factors =1 x 103 = 103

LCM(515,103,633) = ( 515 × 103 × 633 ) / 103

LCM(515,103,633) = 33577485 / 103

LCM(515,103,633) = 325995


Lets's calculate GCF of 472,135,324

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 325995/1

Therefore the LCM of Fractions 515/472,103/135,633/324 is 325995

Greatest Common Factor of 472,135,324 By Matching Biggest Common Factor Method

Greatest Common Factor of 472,135,324 By Matching Biggest Common Factor Method

Factors of 472

List of positive integer factors of 472 that divides 472 without a remainder.

1,2,4,8,59,118,236,472

Factors of 135

List of positive integer factors of 135 that divides 135 without a remainder.

1,3,5,9,15,27,45,135

Factors of 324

List of positive integer factors of 324 that divides 324 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,324

Greatest Common Factor

We found the factors 472,135,324 . The biggest common factor number is the GCF number.
So the greatest common factor 472,135,324 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 515/472, 103/135, 633/324

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 515/472, 103/135, 633/324?

Answer: LCM of Numerators as per given numbers 515/472, 103/135, 633/324 is

LCM of Numerators i.e. for 515,103,633 is 325995

GCF of denominators i.e. for 472,135,324 is 1.

Thus, LCM of Fractions is 325995.Finally, LCM of Fractions for 515/472, 103/135, 633/324 is 325995.