Least Common Multiple of 967/659, 739/766, 365/492

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 967/659, 739/766, 365/492 quickly i.e. 260833745 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 967/659, 739/766, 365/492 is 260833745.

LCM(967/659, 739/766, 365/492) = 260833745

LCM of 967/659, 739/766, 365/492

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 967/659,739/766,365/492

Given numbers are 967/659,739/766,365/492

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 967,739,365

Least Common Multiple of Numerators i.e. LCM of 967,739,365 is 260833745.

GCF of Denominators means GCF of 659,766,492 as per the given fractions.

GCF of 659,766,492 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 967,739,365

LCM of Fractions 967/659,739/766,365/492 is 260833745

Given numbers has no common factors except 1. So, there LCM is their product i.e 260833745

Least Common Multiple of 967,739,365 with GCF Formula

Least Common Multiple of 967,739,365 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 967,739,365 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(967,739,365) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(967,739,365) x common factors =1 x 1 = 1

LCM(967,739,365) = ( 967 × 739 × 365 ) / 1

LCM(967,739,365) = 260833745 / 1

LCM(967,739,365) = 260833745


Lets's calculate GCF of 659,766,492

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 260833745/1

Therefore the LCM of Fractions 967/659,739/766,365/492 is 260833745

Greatest Common Factor of 659,766,492 By Matching Biggest Common Factor Method

Greatest Common Factor of 659,766,492 By Matching Biggest Common Factor Method

Factors of 659

List of positive integer factors of 659 that divides 659 without a remainder.

1,659

Factors of 766

List of positive integer factors of 766 that divides 766 without a remainder.

1,2,383,766

Factors of 492

List of positive integer factors of 492 that divides 492 without a remainder.

1,2,3,4,6,12,41,82,123,164,246,492

Greatest Common Factor

We found the factors 659,766,492 . The biggest common factor number is the GCF number.
So the greatest common factor 659,766,492 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 967/659, 739/766, 365/492

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 967/659, 739/766, 365/492?

Answer: LCM of Numerators as per given numbers 967/659, 739/766, 365/492 is

LCM of Numerators i.e. for 967,739,365 is 260833745

GCF of denominators i.e. for 659,766,492 is 1.

Thus, LCM of Fractions is 260833745.Finally, LCM of Fractions for 967/659, 739/766, 365/492 is 260833745.