Least Common Multiple of 112/51, 937/96, 208/36

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 112/51, 937/96, 208/36 quickly i.e. 1364272/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 112/51, 937/96, 208/36 is 1364272/3.

LCM(112/51, 937/96, 208/36) = 1364272/3

LCM of 112/51, 937/96, 208/36

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 112/51,937/96,208/36

Given numbers are 112/51,937/96,208/36

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 112,937,208

Least Common Multiple of Numerators i.e. LCM of 112,937,208 is 1364272.

GCF of Denominators means GCF of 51,96,36 as per the given fractions.

GCF of 51,96,36 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 112,937,208

LCM of Fractions 112/51,937/96,208/36 is 1364272/3

2 112, 937, 208
2 56, 937, 104
2 28, 937, 52
2 14, 937, 26
7, 937, 13

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 7 x 937 x 13 = 1364272

Least Common Multiple of 112,937,208 with GCF Formula

Least Common Multiple of 112,937,208 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 112,937,208 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(112,937,208) = 1

common factors(in case of two or more numbers have common factors) = 16

GCF(112,937,208) x common factors =1 x 16 = 16

LCM(112,937,208) = ( 112 × 937 × 208 ) / 16

LCM(112,937,208) = 21828352 / 16

LCM(112,937,208) = 1364272


Lets's calculate GCF of 51,96,36

3 51, 96, 36
17, 32, 12

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1364272/3

Therefore the LCM of Fractions 112/51,937/96,208/36 is 1364272/3

Greatest Common Factor of 51,96,36 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,96,36 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Greatest Common Factor

We found the factors 51,96,36 . The biggest common factor number is the GCF number.
So the greatest common factor 51,96,36 is 3.


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 112/51, 937/96, 208/36

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 112/51, 937/96, 208/36?

Answer: LCM of Numerators as per given numbers 112/51, 937/96, 208/36 is

LCM of Numerators i.e. for 112,937,208 is 1364272

GCF of denominators i.e. for 51,96,36 is 3.

Thus, LCM of Fractions is 1364272/3.Finally, LCM of Fractions for 112/51, 937/96, 208/36 is 1364272/3.