Least Common Multiple of 70/939, 1736/2121

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 70/939, 1736/2121 quickly i.e. 8680/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/939, 1736/2121 is 8680/3.

LCM(70/939, 1736/2121) = 8680/3

LCM of 70/939, 1736/2121

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 70/939,1736/2121

Given numbers are 70/939,1736/2121

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 70,1736

Least Common Multiple of Numerators i.e. LCM of 70,1736 is 8680.

GCF of Denominators means GCF of 939,2121 as per the given fractions.

GCF of 939,2121 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,1736

LCM of Fractions 70/939,1736/2121 is 8680/3

2 70, 1736
7 35, 868
5, 124

∴ So the LCM of the given numbers is 2 x 7 x 5 x 124 = 8680

Least Common Multiple of 70,1736 with GCF Formula

Least Common Multiple of 70,1736 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 70,1736 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,1736) = 14

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

GCF(70,1736) x common factors =14 x 1 = 14

LCM(70,1736) = ( 70 × 1736 ) / 14

LCM(70,1736) = 121520 / 14

LCM(70,1736) = 8680


Lets's calculate GCF of 939,2121

3 939, 2121
313, 707

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8680/3

Therefore the LCM of Fractions 70/939,1736/2121 is 8680/3

Greatest Common Factor of 939,2121 By Matching Biggest Common Factor Method

Greatest Common Factor of 939,2121 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 2121

List of positive integer factors of 2121 that divides 2121 without a remainder.

1,3,7,21,101,303,707,2121

Greatest Common Factor

We found the factors 939,2121 . The biggest common factor number is the GCF number.
So the greatest common factor 939,2121 is 3.


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 70/939, 1736/2121

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 70/939, 1736/2121?

Answer: LCM of Numerators as per given numbers 70/939, 1736/2121 is

LCM of Numerators i.e. for 70,1736 is 8680

GCF of denominators i.e. for 939,2121 is 3.

Thus, LCM of Fractions is 8680/3.Finally, LCM of Fractions for 70/939, 1736/2121 is 8680/3.