Least Common Multiple of 2742/494, 3288/767

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2742/494, 3288/767 quickly i.e. 1502616/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2742/494, 3288/767 is 1502616/13.

LCM(2742/494, 3288/767) = 1502616/13

LCM of 2742/494, 3288/767

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 2742/494,3288/767

Given numbers are 2742/494,3288/767

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 2742,3288

Least Common Multiple of Numerators i.e. LCM of 2742,3288 is 1502616.

GCF of Denominators means GCF of 494,767 as per the given fractions.

GCF of 494,767 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2742,3288

LCM of Fractions 2742/494,3288/767 is 1502616/13

2 2742, 3288
3 1371, 1644
457, 548

∴ So the LCM of the given numbers is 2 x 3 x 457 x 548 = 1502616

Least Common Multiple of 2742,3288 with GCF Formula

Least Common Multiple of 2742,3288 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 2742,3288 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2742,3288) = 6

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

GCF(2742,3288) x common factors =6 x 1 = 6

LCM(2742,3288) = ( 2742 × 3288 ) / 6

LCM(2742,3288) = 9015696 / 6

LCM(2742,3288) = 1502616


Lets's calculate GCF of 494,767

13 494, 767
38, 59

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1502616/13

Therefore the LCM of Fractions 2742/494,3288/767 is 1502616/13

Greatest Common Factor of 494,767 By Matching Biggest Common Factor Method

Greatest Common Factor of 494,767 By Matching Biggest Common Factor Method

Factors of 494

List of positive integer factors of 494 that divides 494 without a remainder.

1,2,13,19,26,38,247,494

Factors of 767

List of positive integer factors of 767 that divides 767 without a remainder.

1,13,59,767

Greatest Common Factor

We found the factors 494,767 . The biggest common factor number is the GCF number.
So the greatest common factor 494,767 is 13.


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 2742/494, 3288/767

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 2742/494, 3288/767?

Answer: LCM of Numerators as per given numbers 2742/494, 3288/767 is

LCM of Numerators i.e. for 2742,3288 is 1502616

GCF of denominators i.e. for 494,767 is 13.

Thus, LCM of Fractions is 1502616/13.Finally, LCM of Fractions for 2742/494, 3288/767 is 1502616/13.