Least Common Multiple of 307/939, 644/491, 827/970

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 307/939, 644/491, 827/970 quickly i.e. 163504516 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 307/939, 644/491, 827/970 is 163504516.

LCM(307/939, 644/491, 827/970) = 163504516

LCM of 307/939, 644/491, 827/970

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 307/939,644/491,827/970

Given numbers are 307/939,644/491,827/970

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 307,644,827

Least Common Multiple of Numerators i.e. LCM of 307,644,827 is 163504516.

GCF of Denominators means GCF of 939,491,970 as per the given fractions.

GCF of 939,491,970 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 307,644,827

LCM of Fractions 307/939,644/491,827/970 is 163504516

Given numbers has no common factors except 1. So, there LCM is their product i.e 163504516

Least Common Multiple of 307,644,827 with GCF Formula

Least Common Multiple of 307,644,827 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 307,644,827 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(307,644,827) = 1

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

GCF(307,644,827) x common factors =1 x 1 = 1

LCM(307,644,827) = ( 307 × 644 × 827 ) / 1

LCM(307,644,827) = 163504516 / 1

LCM(307,644,827) = 163504516


Lets's calculate GCF of 939,491,970

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 163504516/1

Therefore the LCM of Fractions 307/939,644/491,827/970 is 163504516

Greatest Common Factor of 939,491,970 By Matching Biggest Common Factor Method

Greatest Common Factor of 939,491,970 By Matching Biggest Common Factor Method

Factors of 939

List of positive integer factors of 939 that divides 939 without a remainder.

1,3,313,939

Factors of 491

List of positive integer factors of 491 that divides 491 without a remainder.

1,491

Factors of 970

List of positive integer factors of 970 that divides 970 without a remainder.

1,2,5,10,97,194,485,970

Greatest Common Factor

We found the factors 939,491,970 . The biggest common factor number is the GCF number.
So the greatest common factor 939,491,970 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 307/939, 644/491, 827/970

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 307/939, 644/491, 827/970?

Answer: LCM of Numerators as per given numbers 307/939, 644/491, 827/970 is

LCM of Numerators i.e. for 307,644,827 is 163504516

GCF of denominators i.e. for 939,491,970 is 1.

Thus, LCM of Fractions is 163504516.Finally, LCM of Fractions for 307/939, 644/491, 827/970 is 163504516.