Least Common Multiple of 31/89, 98/58, 76/34, 66/336

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/89, 98/58, 76/34, 66/336 quickly i.e. 3809652 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/89, 98/58, 76/34, 66/336 is 3809652.

LCM(31/89, 98/58, 76/34, 66/336) = 3809652

LCM of 31/89, 98/58, 76/34, 66/336

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 31/89,98/58,76/34,66/336

Given numbers are 31/89,98/58,76/34,66/336

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 31,98,76,66

Least Common Multiple of Numerators i.e. LCM of 31,98,76,66 is 3809652.

GCF of Denominators means GCF of 89,58,34,336 as per the given fractions.

GCF of 89,58,34,336 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,98,76,66

LCM of Fractions 31/89,98/58,76/34,66/336 is 3809652

2 31, 98, 76, 66
31, 49, 38, 33

∴ So the LCM of the given numbers is 2 x 31 x 49 x 38 x 33 = 3809652

Least Common Multiple of 31,98,76,66 with GCF Formula

Least Common Multiple of 31,98,76,66 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 31,98,76,66 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,98,76,66) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(31,98,76,66) x common factors =1 x 4 = 4

LCM(31,98,76,66) = ( 31 × 98 × 76 × 66 ) / 4

LCM(31,98,76,66) = 15238608 / 4

LCM(31,98,76,66) = 3809652


Lets's calculate GCF of 89,58,34,336

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3809652/1

Therefore the LCM of Fractions 31/89,98/58,76/34,66/336 is 3809652

Greatest Common Factor of 89,58,34,336 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,58,34,336 By Matching Biggest Common Factor Method

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 336

List of positive integer factors of 336 that divides 336 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336

Greatest Common Factor

We found the factors 89,58,34,336 . The biggest common factor number is the GCF number.
So the greatest common factor 89,58,34,336 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 31/89, 98/58, 76/34, 66/336

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 31/89, 98/58, 76/34, 66/336?

Answer: LCM of Numerators as per given numbers 31/89, 98/58, 76/34, 66/336 is

LCM of Numerators i.e. for 31,98,76,66 is 3809652

GCF of denominators i.e. for 89,58,34,336 is 1.

Thus, LCM of Fractions is 3809652.Finally, LCM of Fractions for 31/89, 98/58, 76/34, 66/336 is 3809652.