Least Common Multiple of 982/359, 476/692, 767/879

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 982/359, 476/692, 767/879 quickly i.e. 179260172 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 982/359, 476/692, 767/879 is 179260172.

LCM(982/359, 476/692, 767/879) = 179260172

LCM of 982/359, 476/692, 767/879

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 982/359,476/692,767/879

Given numbers are 982/359,476/692,767/879

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 982,476,767

Least Common Multiple of Numerators i.e. LCM of 982,476,767 is 179260172.

GCF of Denominators means GCF of 359,692,879 as per the given fractions.

GCF of 359,692,879 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 982,476,767

LCM of Fractions 982/359,476/692,767/879 is 179260172

2 982, 476, 767
491, 238, 767

∴ So the LCM of the given numbers is 2 x 491 x 238 x 767 = 179260172

Least Common Multiple of 982,476,767 with GCF Formula

Least Common Multiple of 982,476,767 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 982,476,767 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(982,476,767) = 1

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

GCF(982,476,767) x common factors =1 x 2 = 2

LCM(982,476,767) = ( 982 × 476 × 767 ) / 2

LCM(982,476,767) = 358520344 / 2

LCM(982,476,767) = 179260172


Lets's calculate GCF of 359,692,879

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 179260172/1

Therefore the LCM of Fractions 982/359,476/692,767/879 is 179260172

Greatest Common Factor of 359,692,879 By Matching Biggest Common Factor Method

Greatest Common Factor of 359,692,879 By Matching Biggest Common Factor Method

Factors of 359

List of positive integer factors of 359 that divides 359 without a remainder.

1,359

Factors of 692

List of positive integer factors of 692 that divides 692 without a remainder.

1,2,4,173,346,692

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 359,692,879 . The biggest common factor number is the GCF number.
So the greatest common factor 359,692,879 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 982/359, 476/692, 767/879

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 982/359, 476/692, 767/879?

Answer: LCM of Numerators as per given numbers 982/359, 476/692, 767/879 is

LCM of Numerators i.e. for 982,476,767 is 179260172

GCF of denominators i.e. for 359,692,879 is 1.

Thus, LCM of Fractions is 179260172.Finally, LCM of Fractions for 982/359, 476/692, 767/879 is 179260172.