Least Common Multiple of 46/908, 559/513, 788/107

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/908, 559/513, 788/107 quickly i.e. 10131316 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/908, 559/513, 788/107 is 10131316.

LCM(46/908, 559/513, 788/107) = 10131316

LCM of 46/908, 559/513, 788/107

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 46/908,559/513,788/107

Given numbers are 46/908,559/513,788/107

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 46,559,788

Least Common Multiple of Numerators i.e. LCM of 46,559,788 is 10131316.

GCF of Denominators means GCF of 908,513,107 as per the given fractions.

GCF of 908,513,107 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,559,788

LCM of Fractions 46/908,559/513,788/107 is 10131316

2 46, 559, 788
23, 559, 394

∴ So the LCM of the given numbers is 2 x 23 x 559 x 394 = 10131316

Least Common Multiple of 46,559,788 with GCF Formula

Least Common Multiple of 46,559,788 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 46,559,788 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,559,788) = 1

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

GCF(46,559,788) x common factors =1 x 2 = 2

LCM(46,559,788) = ( 46 × 559 × 788 ) / 2

LCM(46,559,788) = 20262632 / 2

LCM(46,559,788) = 10131316


Lets's calculate GCF of 908,513,107

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10131316/1

Therefore the LCM of Fractions 46/908,559/513,788/107 is 10131316

Greatest Common Factor of 908,513,107 By Matching Biggest Common Factor Method

Greatest Common Factor of 908,513,107 By Matching Biggest Common Factor Method

Factors of 908

List of positive integer factors of 908 that divides 908 without a remainder.

1,2,4,227,454,908

Factors of 513

List of positive integer factors of 513 that divides 513 without a remainder.

1,3,9,19,27,57,171,513

Factors of 107

List of positive integer factors of 107 that divides 107 without a remainder.

1,107

Greatest Common Factor

We found the factors 908,513,107 . The biggest common factor number is the GCF number.
So the greatest common factor 908,513,107 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 46/908, 559/513, 788/107

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 46/908, 559/513, 788/107?

Answer: LCM of Numerators as per given numbers 46/908, 559/513, 788/107 is

LCM of Numerators i.e. for 46,559,788 is 10131316

GCF of denominators i.e. for 908,513,107 is 1.

Thus, LCM of Fractions is 10131316.Finally, LCM of Fractions for 46/908, 559/513, 788/107 is 10131316.