Least Common Multiple of 996/72, 429/63, 218/31

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 996/72, 429/63, 218/31 quickly i.e. 15524652 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 996/72, 429/63, 218/31 is 15524652.

LCM(996/72, 429/63, 218/31) = 15524652

LCM of 996/72, 429/63, 218/31

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 996/72,429/63,218/31

Given numbers are 996/72,429/63,218/31

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 996,429,218

Least Common Multiple of Numerators i.e. LCM of 996,429,218 is 15524652.

GCF of Denominators means GCF of 72,63,31 as per the given fractions.

GCF of 72,63,31 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 996,429,218

LCM of Fractions 996/72,429/63,218/31 is 15524652

2 996, 429, 218
3 498, 429, 109
166, 143, 109

∴ So the LCM of the given numbers is 2 x 3 x 166 x 143 x 109 = 15524652

Least Common Multiple of 996,429,218 with GCF Formula

Least Common Multiple of 996,429,218 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 996,429,218 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(996,429,218) = 1

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

GCF(996,429,218) x common factors =1 x 6 = 6

LCM(996,429,218) = ( 996 × 429 × 218 ) / 6

LCM(996,429,218) = 93147912 / 6

LCM(996,429,218) = 15524652


Lets's calculate GCF of 72,63,31

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15524652/1

Therefore the LCM of Fractions 996/72,429/63,218/31 is 15524652

Greatest Common Factor of 72,63,31 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,63,31 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Greatest Common Factor

We found the factors 72,63,31 . The biggest common factor number is the GCF number.
So the greatest common factor 72,63,31 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 996/72, 429/63, 218/31

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 996/72, 429/63, 218/31?

Answer: LCM of Numerators as per given numbers 996/72, 429/63, 218/31 is

LCM of Numerators i.e. for 996,429,218 is 15524652

GCF of denominators i.e. for 72,63,31 is 1.

Thus, LCM of Fractions is 15524652.Finally, LCM of Fractions for 996/72, 429/63, 218/31 is 15524652.