Least Common Multiple of 46/779, 795/20, 536/879

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/779, 795/20, 536/879 quickly i.e. 9800760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/779, 795/20, 536/879 is 9800760.

LCM(46/779, 795/20, 536/879) = 9800760

LCM of 46/779, 795/20, 536/879

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 46/779,795/20,536/879

Given numbers are 46/779,795/20,536/879

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 46,795,536

Least Common Multiple of Numerators i.e. LCM of 46,795,536 is 9800760.

GCF of Denominators means GCF of 779,20,879 as per the given fractions.

GCF of 779,20,879 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,795,536

LCM of Fractions 46/779,795/20,536/879 is 9800760

2 46, 795, 536
23, 795, 268

∴ So the LCM of the given numbers is 2 x 23 x 795 x 268 = 9800760

Least Common Multiple of 46,795,536 with GCF Formula

Least Common Multiple of 46,795,536 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 46,795,536 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,795,536) = 1

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

GCF(46,795,536) x common factors =1 x 2 = 2

LCM(46,795,536) = ( 46 × 795 × 536 ) / 2

LCM(46,795,536) = 19601520 / 2

LCM(46,795,536) = 9800760


Lets's calculate GCF of 779,20,879

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9800760/1

Therefore the LCM of Fractions 46/779,795/20,536/879 is 9800760

Greatest Common Factor of 779,20,879 By Matching Biggest Common Factor Method

Greatest Common Factor of 779,20,879 By Matching Biggest Common Factor Method

Factors of 779

List of positive integer factors of 779 that divides 779 without a remainder.

1,19,41,779

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 879

List of positive integer factors of 879 that divides 879 without a remainder.

1,3,293,879

Greatest Common Factor

We found the factors 779,20,879 . The biggest common factor number is the GCF number.
So the greatest common factor 779,20,879 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 46/779, 795/20, 536/879

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 46/779, 795/20, 536/879?

Answer: LCM of Numerators as per given numbers 46/779, 795/20, 536/879 is

LCM of Numerators i.e. for 46,795,536 is 9800760

GCF of denominators i.e. for 779,20,879 is 1.

Thus, LCM of Fractions is 9800760.Finally, LCM of Fractions for 46/779, 795/20, 536/879 is 9800760.