Least Common Multiple of 23/79, 46/82, 879/767

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 23/79, 46/82, 879/767 quickly i.e. 40434 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/79, 46/82, 879/767 is 40434.

LCM(23/79, 46/82, 879/767) = 40434

LCM of 23/79, 46/82, 879/767

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 23/79,46/82,879/767

Given numbers are 23/79,46/82,879/767

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 23,46,879

Least Common Multiple of Numerators i.e. LCM of 23,46,879 is 40434.

GCF of Denominators means GCF of 79,82,767 as per the given fractions.

GCF of 79,82,767 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,46,879

LCM of Fractions 23/79,46/82,879/767 is 40434

23 23, 46, 879
1, 2, 879

∴ So the LCM of the given numbers is 23 x 1 x 2 x 879 = 40434

Least Common Multiple of 23,46,879 with GCF Formula

Least Common Multiple of 23,46,879 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 23,46,879 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,46,879) = 1

common factors(in case of two or more numbers have common factors) = 23

GCF(23,46,879) x common factors =1 x 23 = 23

LCM(23,46,879) = ( 23 × 46 × 879 ) / 23

LCM(23,46,879) = 929982 / 23

LCM(23,46,879) = 40434


Lets's calculate GCF of 79,82,767

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40434/1

Therefore the LCM of Fractions 23/79,46/82,879/767 is 40434

Greatest Common Factor of 79,82,767 By Matching Biggest Common Factor Method

Greatest Common Factor of 79,82,767 By Matching Biggest Common Factor Method

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 767

List of positive integer factors of 767 that divides 767 without a remainder.

1,13,59,767

Greatest Common Factor

We found the factors 79,82,767 . The biggest common factor number is the GCF number.
So the greatest common factor 79,82,767 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 23/79, 46/82, 879/767

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 23/79, 46/82, 879/767?

Answer: LCM of Numerators as per given numbers 23/79, 46/82, 879/767 is

LCM of Numerators i.e. for 23,46,879 is 40434

GCF of denominators i.e. for 79,82,767 is 1.

Thus, LCM of Fractions is 40434.Finally, LCM of Fractions for 23/79, 46/82, 879/767 is 40434.