Least Common Multiple of 84/98, 94/77, 616/591

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 84/98, 94/77, 616/591 quickly i.e. 86856 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/98, 94/77, 616/591 is 86856.

LCM(84/98, 94/77, 616/591) = 86856

LCM of 84/98, 94/77, 616/591

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 84/98,94/77,616/591

Given numbers are 84/98,94/77,616/591

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 84,94,616

Least Common Multiple of Numerators i.e. LCM of 84,94,616 is 86856.

GCF of Denominators means GCF of 98,77,591 as per the given fractions.

GCF of 98,77,591 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,94,616

LCM of Fractions 84/98,94/77,616/591 is 86856

2 84, 94, 616
2 42, 47, 308
7 21, 47, 154
3, 47, 22

∴ So the LCM of the given numbers is 2 x 2 x 7 x 3 x 47 x 22 = 86856

Least Common Multiple of 84,94,616 with GCF Formula

Least Common Multiple of 84,94,616 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 84,94,616 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,94,616) = 2

common factors(in case of two or more numbers have common factors) = 28

GCF(84,94,616) x common factors =2 x 28 = 56

LCM(84,94,616) = ( 84 × 94 × 616 ) / 56

LCM(84,94,616) = 4863936 / 56

LCM(84,94,616) = 86856


Lets's calculate GCF of 98,77,591

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 86856/1

Therefore the LCM of Fractions 84/98,94/77,616/591 is 86856

Greatest Common Factor of 98,77,591 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,77,591 By Matching Biggest Common Factor Method

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 591

List of positive integer factors of 591 that divides 591 without a remainder.

1,3,197,591

Greatest Common Factor

We found the factors 98,77,591 . The biggest common factor number is the GCF number.
So the greatest common factor 98,77,591 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 84/98, 94/77, 616/591

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 84/98, 94/77, 616/591?

Answer: LCM of Numerators as per given numbers 84/98, 94/77, 616/591 is

LCM of Numerators i.e. for 84,94,616 is 86856

GCF of denominators i.e. for 98,77,591 is 1.

Thus, LCM of Fractions is 86856.Finally, LCM of Fractions for 84/98, 94/77, 616/591 is 86856.