Least Common Multiple of 84/612, 94/727, 939/997

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/612, 94/727, 939/997 quickly i.e. 1235724 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/612, 94/727, 939/997 is 1235724.

LCM(84/612, 94/727, 939/997) = 1235724

LCM of 84/612, 94/727, 939/997

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 84/612,94/727,939/997

Given numbers are 84/612,94/727,939/997

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 84,94,939

Least Common Multiple of Numerators i.e. LCM of 84,94,939 is 1235724.

GCF of Denominators means GCF of 612,727,997 as per the given fractions.

GCF of 612,727,997 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,94,939

LCM of Fractions 84/612,94/727,939/997 is 1235724

2 84, 94, 939
3 42, 47, 939
14, 47, 313

∴ So the LCM of the given numbers is 2 x 3 x 14 x 47 x 313 = 1235724

Least Common Multiple of 84,94,939 with GCF Formula

Least Common Multiple of 84,94,939 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 84,94,939 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,94,939) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(84,94,939) x common factors =1 x 6 = 6

LCM(84,94,939) = ( 84 × 94 × 939 ) / 6

LCM(84,94,939) = 7414344 / 6

LCM(84,94,939) = 1235724


Lets's calculate GCF of 612,727,997

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1235724/1

Therefore the LCM of Fractions 84/612,94/727,939/997 is 1235724

Greatest Common Factor of 612,727,997 By Matching Biggest Common Factor Method

Greatest Common Factor of 612,727,997 By Matching Biggest Common Factor Method

Factors of 612

List of positive integer factors of 612 that divides 612 without a remainder.

1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612

Factors of 727

List of positive integer factors of 727 that divides 727 without a remainder.

1,727

Factors of 997

List of positive integer factors of 997 that divides 997 without a remainder.

1,997

Greatest Common Factor

We found the factors 612,727,997 . The biggest common factor number is the GCF number.
So the greatest common factor 612,727,997 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 84/612, 94/727, 939/997

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 84/612, 94/727, 939/997?

Answer: LCM of Numerators as per given numbers 84/612, 94/727, 939/997 is

LCM of Numerators i.e. for 84,94,939 is 1235724

GCF of denominators i.e. for 612,727,997 is 1.

Thus, LCM of Fractions is 1235724.Finally, LCM of Fractions for 84/612, 94/727, 939/997 is 1235724.