Least Common Multiple of 726/708, 2548/4707

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 726/708, 2548/4707 quickly i.e. 308308 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 726/708, 2548/4707 is 308308.

LCM(726/708, 2548/4707) = 308308

LCM of 726/708, 2548/4707

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 726/708,2548/4707

Given numbers are 726/708,2548/4707

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 726,2548

Least Common Multiple of Numerators i.e. LCM of 726,2548 is 924924.

GCF of Denominators means GCF of 708,4707 as per the given fractions.

GCF of 708,4707 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 726,2548

LCM of Fractions 726/708,2548/4707 is 308308

2 726, 2548
363, 1274

∴ So the LCM of the given numbers is 2 x 363 x 1274 = 924924

Least Common Multiple of 726,2548 with GCF Formula

Least Common Multiple of 726,2548 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 726,2548 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(726,2548) = 2

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

GCF(726,2548) x common factors =2 x 1 = 2

LCM(726,2548) = ( 726 × 2548 ) / 2

LCM(726,2548) = 1849848 / 2

LCM(726,2548) = 924924


Lets's calculate GCF of 708,4707

3 708, 4707
236, 1569

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 924924/3

Therefore the LCM of Fractions 726/708,2548/4707 is 308308

Greatest Common Factor of 708,4707 By Matching Biggest Common Factor Method

Greatest Common Factor of 708,4707 By Matching Biggest Common Factor Method

Factors of 708

List of positive integer factors of 708 that divides 708 without a remainder.

1,2,3,4,6,12,59,118,177,236,354,708

Factors of 4707

List of positive integer factors of 4707 that divides 4707 without a remainder.

1,3,9,523,1569,4707

Greatest Common Factor

We found the factors 708,4707 . The biggest common factor number is the GCF number.
So the greatest common factor 708,4707 is 3.


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 726/708, 2548/4707

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 726/708, 2548/4707?

Answer: LCM of Numerators as per given numbers 726/708, 2548/4707 is

LCM of Numerators i.e. for 726,2548 is 924924

GCF of denominators i.e. for 708,4707 is 3.

Thus, LCM of Fractions is 308308.Finally, LCM of Fractions for 726/708, 2548/4707 is 308308.