Least Common Multiple of 79/842, 16/516

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 79/842, 16/516 quickly i.e. 632 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 79/842, 16/516 is 632.

LCM(79/842, 16/516) = 632

LCM of 79/842, 16/516

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 79/842,16/516

Given numbers are 79/842,16/516

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 79,16

Least Common Multiple of Numerators i.e. LCM of 79,16 is 1264.

GCF of Denominators means GCF of 842,516 as per the given fractions.

GCF of 842,516 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 79,16

LCM of Fractions 79/842,16/516 is 632

Given numbers has no common factors except 1. So, there LCM is their product i.e 1264

Least Common Multiple of 79,16 with GCF Formula

Least Common Multiple of 79,16 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 79,16 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,16) = 1

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

GCF(79,16) x common factors =1 x 1 = 1

LCM(79,16) = ( 79 × 16 ) / 1

LCM(79,16) = 1264 / 1

LCM(79,16) = 1264


Lets's calculate GCF of 842,516

2 842, 516
421, 258

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1264/2

Therefore the LCM of Fractions 79/842,16/516 is 632

Greatest Common Factor of 842,516 By Matching Biggest Common Factor Method

Greatest Common Factor of 842,516 By Matching Biggest Common Factor Method

Factors of 842

List of positive integer factors of 842 that divides 842 without a remainder.

1,2,421,842

Factors of 516

List of positive integer factors of 516 that divides 516 without a remainder.

1,2,3,4,6,12,43,86,129,172,258,516

Greatest Common Factor

We found the factors 842,516 . The biggest common factor number is the GCF number.
So the greatest common factor 842,516 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 79/842, 16/516

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 79/842, 16/516?

Answer: LCM of Numerators as per given numbers 79/842, 16/516 is

LCM of Numerators i.e. for 79,16 is 1264

GCF of denominators i.e. for 842,516 is 2.

Thus, LCM of Fractions is 632.Finally, LCM of Fractions for 79/842, 16/516 is 632.