Least Common Multiple of 4686/740, 7312/2791

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4686/740, 7312/2791 quickly i.e. 17132016 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4686/740, 7312/2791 is 17132016.

LCM(4686/740, 7312/2791) = 17132016

LCM of 4686/740, 7312/2791

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 4686/740,7312/2791

Given numbers are 4686/740,7312/2791

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 4686,7312

Least Common Multiple of Numerators i.e. LCM of 4686,7312 is 17132016.

GCF of Denominators means GCF of 740,2791 as per the given fractions.

GCF of 740,2791 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4686,7312

LCM of Fractions 4686/740,7312/2791 is 17132016

2 4686, 7312
2343, 3656

∴ So the LCM of the given numbers is 2 x 2343 x 3656 = 17132016

Least Common Multiple of 4686,7312 with GCF Formula

Least Common Multiple of 4686,7312 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 4686,7312 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4686,7312) = 2

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

GCF(4686,7312) x common factors =2 x 1 = 2

LCM(4686,7312) = ( 4686 × 7312 ) / 2

LCM(4686,7312) = 34264032 / 2

LCM(4686,7312) = 17132016


Lets's calculate GCF of 740,2791

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17132016/1

Therefore the LCM of Fractions 4686/740,7312/2791 is 17132016

Greatest Common Factor of 740,2791 By Matching Biggest Common Factor Method

Greatest Common Factor of 740,2791 By Matching Biggest Common Factor Method

Factors of 740

List of positive integer factors of 740 that divides 740 without a remainder.

1,2,4,5,10,20,37,74,148,185,370,740

Factors of 2791

List of positive integer factors of 2791 that divides 2791 without a remainder.

1,2791

Greatest Common Factor

We found the factors 740,2791 . The biggest common factor number is the GCF number.
So the greatest common factor 740,2791 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 4686/740, 7312/2791

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 4686/740, 7312/2791?

Answer: LCM of Numerators as per given numbers 4686/740, 7312/2791 is

LCM of Numerators i.e. for 4686,7312 is 17132016

GCF of denominators i.e. for 740,2791 is 1.

Thus, LCM of Fractions is 17132016.Finally, LCM of Fractions for 4686/740, 7312/2791 is 17132016.