Least Common Multiple of 7458/352, 2782/913

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7458/352, 2782/913 quickly i.e. 943098 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7458/352, 2782/913 is 943098.

LCM(7458/352, 2782/913) = 943098

LCM of 7458/352, 2782/913

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 7458/352,2782/913

Given numbers are 7458/352,2782/913

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 7458,2782

Least Common Multiple of Numerators i.e. LCM of 7458,2782 is 10374078.

GCF of Denominators means GCF of 352,913 as per the given fractions.

GCF of 352,913 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7458,2782

LCM of Fractions 7458/352,2782/913 is 943098

2 7458, 2782
3729, 1391

∴ So the LCM of the given numbers is 2 x 3729 x 1391 = 10374078

Least Common Multiple of 7458,2782 with GCF Formula

Least Common Multiple of 7458,2782 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 7458,2782 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7458,2782) = 2

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

GCF(7458,2782) x common factors =2 x 1 = 2

LCM(7458,2782) = ( 7458 × 2782 ) / 2

LCM(7458,2782) = 20748156 / 2

LCM(7458,2782) = 10374078


Lets's calculate GCF of 352,913

11 352, 913
32, 83

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10374078/11

Therefore the LCM of Fractions 7458/352,2782/913 is 943098

Greatest Common Factor of 352,913 By Matching Biggest Common Factor Method

Greatest Common Factor of 352,913 By Matching Biggest Common Factor Method

Factors of 352

List of positive integer factors of 352 that divides 352 without a remainder.

1,2,4,8,11,16,22,32,44,88,176,352

Factors of 913

List of positive integer factors of 913 that divides 913 without a remainder.

1,11,83,913

Greatest Common Factor

We found the factors 352,913 . The biggest common factor number is the GCF number.
So the greatest common factor 352,913 is 11.


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 7458/352, 2782/913

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 7458/352, 2782/913?

Answer: LCM of Numerators as per given numbers 7458/352, 2782/913 is

LCM of Numerators i.e. for 7458,2782 is 10374078

GCF of denominators i.e. for 352,913 is 11.

Thus, LCM of Fractions is 943098.Finally, LCM of Fractions for 7458/352, 2782/913 is 943098.