Least Common Multiple of 10/353, 542/292, 291/763

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 10/353, 542/292, 291/763 quickly i.e. 788610 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/353, 542/292, 291/763 is 788610.

LCM(10/353, 542/292, 291/763) = 788610

LCM of 10/353, 542/292, 291/763

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 10/353,542/292,291/763

Given numbers are 10/353,542/292,291/763

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 10,542,291

Least Common Multiple of Numerators i.e. LCM of 10,542,291 is 788610.

GCF of Denominators means GCF of 353,292,763 as per the given fractions.

GCF of 353,292,763 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,542,291

LCM of Fractions 10/353,542/292,291/763 is 788610

2 10, 542, 291
5, 271, 291

∴ So the LCM of the given numbers is 2 x 5 x 271 x 291 = 788610

Least Common Multiple of 10,542,291 with GCF Formula

Least Common Multiple of 10,542,291 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 10,542,291 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,542,291) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(10,542,291) x common factors =1 x 2 = 2

LCM(10,542,291) = ( 10 × 542 × 291 ) / 2

LCM(10,542,291) = 1577220 / 2

LCM(10,542,291) = 788610


Lets's calculate GCF of 353,292,763

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 788610/1

Therefore the LCM of Fractions 10/353,542/292,291/763 is 788610

Greatest Common Factor of 353,292,763 By Matching Biggest Common Factor Method

Greatest Common Factor of 353,292,763 By Matching Biggest Common Factor Method

Factors of 353

List of positive integer factors of 353 that divides 353 without a remainder.

1,353

Factors of 292

List of positive integer factors of 292 that divides 292 without a remainder.

1,2,4,73,146,292

Factors of 763

List of positive integer factors of 763 that divides 763 without a remainder.

1,7,109,763

Greatest Common Factor

We found the factors 353,292,763 . The biggest common factor number is the GCF number.
So the greatest common factor 353,292,763 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 10/353, 542/292, 291/763

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 10/353, 542/292, 291/763?

Answer: LCM of Numerators as per given numbers 10/353, 542/292, 291/763 is

LCM of Numerators i.e. for 10,542,291 is 788610

GCF of denominators i.e. for 353,292,763 is 1.

Thus, LCM of Fractions is 788610.Finally, LCM of Fractions for 10/353, 542/292, 291/763 is 788610.