Least Common Multiple of 36/84, 99/61, 98/19, 31/916

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/84, 99/61, 98/19, 31/916 quickly i.e. 601524 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/84, 99/61, 98/19, 31/916 is 601524.

LCM(36/84, 99/61, 98/19, 31/916) = 601524

LCM of 36/84, 99/61, 98/19, 31/916

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 36/84,99/61,98/19,31/916

Given numbers are 36/84,99/61,98/19,31/916

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 36,99,98,31

Least Common Multiple of Numerators i.e. LCM of 36,99,98,31 is 601524.

GCF of Denominators means GCF of 84,61,19,916 as per the given fractions.

GCF of 84,61,19,916 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,99,98,31

LCM of Fractions 36/84,99/61,98/19,31/916 is 601524

2 36, 99, 98, 31
3 18, 99, 49, 31
3 6, 33, 49, 31
2, 11, 49, 31

∴ So the LCM of the given numbers is 2 x 3 x 3 x 2 x 11 x 49 x 31 = 601524

Least Common Multiple of 36,99,98,31 with GCF Formula

Least Common Multiple of 36,99,98,31 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 36,99,98,31 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,99,98,31) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(36,99,98,31) x common factors =1 x 18 = 18

LCM(36,99,98,31) = ( 36 × 99 × 98 × 31 ) / 18

LCM(36,99,98,31) = 10827432 / 18

LCM(36,99,98,31) = 601524


Lets's calculate GCF of 84,61,19,916

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 601524/1

Therefore the LCM of Fractions 36/84,99/61,98/19,31/916 is 601524

Greatest Common Factor of 84,61,19,916 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,61,19,916 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 916

List of positive integer factors of 916 that divides 916 without a remainder.

1,2,4,229,458,916

Greatest Common Factor

We found the factors 84,61,19,916 . The biggest common factor number is the GCF number.
So the greatest common factor 84,61,19,916 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 36/84, 99/61, 98/19, 31/916

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 36/84, 99/61, 98/19, 31/916?

Answer: LCM of Numerators as per given numbers 36/84, 99/61, 98/19, 31/916 is

LCM of Numerators i.e. for 36,99,98,31 is 601524

GCF of denominators i.e. for 84,61,19,916 is 1.

Thus, LCM of Fractions is 601524.Finally, LCM of Fractions for 36/84, 99/61, 98/19, 31/916 is 601524.