Least Common Multiple of 68/70, 46/30, 21/979

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 68/70, 46/30, 21/979 quickly i.e. 32844 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/70, 46/30, 21/979 is 32844.

LCM(68/70, 46/30, 21/979) = 32844

LCM of 68/70, 46/30, 21/979

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 68/70,46/30,21/979

Given numbers are 68/70,46/30,21/979

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 68,46,21

Least Common Multiple of Numerators i.e. LCM of 68,46,21 is 32844.

GCF of Denominators means GCF of 70,30,979 as per the given fractions.

GCF of 70,30,979 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,46,21

LCM of Fractions 68/70,46/30,21/979 is 32844

2 68, 46, 21
34, 23, 21

∴ So the LCM of the given numbers is 2 x 34 x 23 x 21 = 32844

Least Common Multiple of 68,46,21 with GCF Formula

Least Common Multiple of 68,46,21 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 68,46,21 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,46,21) = 1

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

GCF(68,46,21) x common factors =1 x 2 = 2

LCM(68,46,21) = ( 68 × 46 × 21 ) / 2

LCM(68,46,21) = 65688 / 2

LCM(68,46,21) = 32844


Lets's calculate GCF of 70,30,979

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32844/1

Therefore the LCM of Fractions 68/70,46/30,21/979 is 32844

Greatest Common Factor of 70,30,979 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,30,979 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 979

List of positive integer factors of 979 that divides 979 without a remainder.

1,11,89,979

Greatest Common Factor

We found the factors 70,30,979 . The biggest common factor number is the GCF number.
So the greatest common factor 70,30,979 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 68/70, 46/30, 21/979

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 68/70, 46/30, 21/979?

Answer: LCM of Numerators as per given numbers 68/70, 46/30, 21/979 is

LCM of Numerators i.e. for 68,46,21 is 32844

GCF of denominators i.e. for 70,30,979 is 1.

Thus, LCM of Fractions is 32844.Finally, LCM of Fractions for 68/70, 46/30, 21/979 is 32844.