Least Common Multiple of 94/939, 59/735, 649/838

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 94/939, 59/735, 649/838 quickly i.e. 61006 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 94/939, 59/735, 649/838 is 61006.

LCM(94/939, 59/735, 649/838) = 61006

LCM of 94/939, 59/735, 649/838

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 94/939,59/735,649/838

Given numbers are 94/939,59/735,649/838

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 94,59,649

Least Common Multiple of Numerators i.e. LCM of 94,59,649 is 61006.

GCF of Denominators means GCF of 939,735,838 as per the given fractions.

GCF of 939,735,838 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 94,59,649

LCM of Fractions 94/939,59/735,649/838 is 61006

59 94, 59, 649
94, 1, 11

∴ So the LCM of the given numbers is 59 x 94 x 1 x 11 = 61006

Least Common Multiple of 94,59,649 with GCF Formula

Least Common Multiple of 94,59,649 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 94,59,649 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,59,649) = 1

common factors(in case of two or more numbers have common factors) = 59

GCF(94,59,649) x common factors =1 x 59 = 59

LCM(94,59,649) = ( 94 × 59 × 649 ) / 59

LCM(94,59,649) = 3599354 / 59

LCM(94,59,649) = 61006


Lets's calculate GCF of 939,735,838

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 61006/1

Therefore the LCM of Fractions 94/939,59/735,649/838 is 61006

Greatest Common Factor of 939,735,838 By Matching Biggest Common Factor Method

Greatest Common Factor of 939,735,838 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 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Factors of 838

List of positive integer factors of 838 that divides 838 without a remainder.

1,2,419,838

Greatest Common Factor

We found the factors 939,735,838 . The biggest common factor number is the GCF number.
So the greatest common factor 939,735,838 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 94/939, 59/735, 649/838

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 94/939, 59/735, 649/838?

Answer: LCM of Numerators as per given numbers 94/939, 59/735, 649/838 is

LCM of Numerators i.e. for 94,59,649 is 61006

GCF of denominators i.e. for 939,735,838 is 1.

Thus, LCM of Fractions is 61006.Finally, LCM of Fractions for 94/939, 59/735, 649/838 is 61006.