Least Common Multiple of 4715/249, 5175/745

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4715/249, 5175/745 quickly i.e. 212175 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4715/249, 5175/745 is 212175.

LCM(4715/249, 5175/745) = 212175

LCM of 4715/249, 5175/745

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 4715/249,5175/745

Given numbers are 4715/249,5175/745

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 4715,5175

Least Common Multiple of Numerators i.e. LCM of 4715,5175 is 212175.

GCF of Denominators means GCF of 249,745 as per the given fractions.

GCF of 249,745 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4715,5175

LCM of Fractions 4715/249,5175/745 is 212175

5 4715, 5175
23 943, 1035
41, 45

∴ So the LCM of the given numbers is 5 x 23 x 41 x 45 = 212175

Least Common Multiple of 4715,5175 with GCF Formula

Least Common Multiple of 4715,5175 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 4715,5175 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4715,5175) = 115

common factors(in case of two or more numbers have common factors) = 1

GCF(4715,5175) x common factors =115 x 1 = 115

LCM(4715,5175) = ( 4715 × 5175 ) / 115

LCM(4715,5175) = 24400125 / 115

LCM(4715,5175) = 212175


Lets's calculate GCF of 249,745

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 212175/1

Therefore the LCM of Fractions 4715/249,5175/745 is 212175

Greatest Common Factor of 249,745 By Matching Biggest Common Factor Method

Greatest Common Factor of 249,745 By Matching Biggest Common Factor Method

Factors of 249

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

1,3,83,249

Factors of 745

List of positive integer factors of 745 that divides 745 without a remainder.

1,5,149,745

Greatest Common Factor

We found the factors 249,745 . The biggest common factor number is the GCF number.
So the greatest common factor 249,745 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 4715/249, 5175/745

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 4715/249, 5175/745?

Answer: LCM of Numerators as per given numbers 4715/249, 5175/745 is

LCM of Numerators i.e. for 4715,5175 is 212175

GCF of denominators i.e. for 249,745 is 1.

Thus, LCM of Fractions is 212175.Finally, LCM of Fractions for 4715/249, 5175/745 is 212175.