Least Common Multiple of 83/691, 41/117, 933/988

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/691, 41/117, 933/988 quickly i.e. 3174999 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/691, 41/117, 933/988 is 3174999.

LCM(83/691, 41/117, 933/988) = 3174999

LCM of 83/691, 41/117, 933/988

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 83/691,41/117,933/988

Given numbers are 83/691,41/117,933/988

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 83,41,933

Least Common Multiple of Numerators i.e. LCM of 83,41,933 is 3174999.

GCF of Denominators means GCF of 691,117,988 as per the given fractions.

GCF of 691,117,988 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,41,933

LCM of Fractions 83/691,41/117,933/988 is 3174999

Given numbers has no common factors except 1. So, there LCM is their product i.e 3174999

Least Common Multiple of 83,41,933 with GCF Formula

Least Common Multiple of 83,41,933 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 83,41,933 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,41,933) = 1

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

GCF(83,41,933) x common factors =1 x 1 = 1

LCM(83,41,933) = ( 83 × 41 × 933 ) / 1

LCM(83,41,933) = 3174999 / 1

LCM(83,41,933) = 3174999


Lets's calculate GCF of 691,117,988

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3174999/1

Therefore the LCM of Fractions 83/691,41/117,933/988 is 3174999

Greatest Common Factor of 691,117,988 By Matching Biggest Common Factor Method

Greatest Common Factor of 691,117,988 By Matching Biggest Common Factor Method

Factors of 691

List of positive integer factors of 691 that divides 691 without a remainder.

1,691

Factors of 117

List of positive integer factors of 117 that divides 117 without a remainder.

1,3,9,13,39,117

Factors of 988

List of positive integer factors of 988 that divides 988 without a remainder.

1,2,4,13,19,26,38,52,76,247,494,988

Greatest Common Factor

We found the factors 691,117,988 . The biggest common factor number is the GCF number.
So the greatest common factor 691,117,988 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 83/691, 41/117, 933/988

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 83/691, 41/117, 933/988?

Answer: LCM of Numerators as per given numbers 83/691, 41/117, 933/988 is

LCM of Numerators i.e. for 83,41,933 is 3174999

GCF of denominators i.e. for 691,117,988 is 1.

Thus, LCM of Fractions is 3174999.Finally, LCM of Fractions for 83/691, 41/117, 933/988 is 3174999.