Least Common Multiple of 2736/708, 2402/754

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2736/708, 2402/754 quickly i.e. 1642968 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2736/708, 2402/754 is 1642968.

LCM(2736/708, 2402/754) = 1642968

LCM of 2736/708, 2402/754

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 2736/708,2402/754

Given numbers are 2736/708,2402/754

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 2736,2402

Least Common Multiple of Numerators i.e. LCM of 2736,2402 is 3285936.

GCF of Denominators means GCF of 708,754 as per the given fractions.

GCF of 708,754 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2736,2402

LCM of Fractions 2736/708,2402/754 is 1642968

2 2736, 2402
1368, 1201

∴ So the LCM of the given numbers is 2 x 1368 x 1201 = 3285936

Least Common Multiple of 2736,2402 with GCF Formula

Least Common Multiple of 2736,2402 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 2736,2402 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2736,2402) = 2

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

GCF(2736,2402) x common factors =2 x 1 = 2

LCM(2736,2402) = ( 2736 × 2402 ) / 2

LCM(2736,2402) = 6571872 / 2

LCM(2736,2402) = 3285936


Lets's calculate GCF of 708,754

2 708, 754
354, 377

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3285936/2

Therefore the LCM of Fractions 2736/708,2402/754 is 1642968

Greatest Common Factor of 708,754 By Matching Biggest Common Factor Method

Greatest Common Factor of 708,754 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 754

List of positive integer factors of 754 that divides 754 without a remainder.

1,2,13,26,29,58,377,754

Greatest Common Factor

We found the factors 708,754 . The biggest common factor number is the GCF number.
So the greatest common factor 708,754 is 2.


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 2736/708, 2402/754

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 2736/708, 2402/754?

Answer: LCM of Numerators as per given numbers 2736/708, 2402/754 is

LCM of Numerators i.e. for 2736,2402 is 3285936

GCF of denominators i.e. for 708,754 is 2.

Thus, LCM of Fractions is 1642968.Finally, LCM of Fractions for 2736/708, 2402/754 is 1642968.