Least Common Multiple of 91/48, 34/96, 28/54, 34/111

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 91/48, 34/96, 28/54, 34/111 quickly i.e. 6188/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 91/48, 34/96, 28/54, 34/111 is 6188/3.

LCM(91/48, 34/96, 28/54, 34/111) = 6188/3

LCM of 91/48, 34/96, 28/54, 34/111

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 91/48,34/96,28/54,34/111

Given numbers are 91/48,34/96,28/54,34/111

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 91,34,28,34

Least Common Multiple of Numerators i.e. LCM of 91,34,28,34 is 6188.

GCF of Denominators means GCF of 48,96,54,111 as per the given fractions.

GCF of 48,96,54,111 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 91,34,28,34

LCM of Fractions 91/48,34/96,28/54,34/111 is 6188/3

2 91, 34, 28, 34
7 91, 17, 14, 17
17 13, 17, 2, 17
13, 1, 2, 1

∴ So the LCM of the given numbers is 2 x 7 x 17 x 13 x 1 x 2 x 1 = 6188

Least Common Multiple of 91,34,28,34 with GCF Formula

Least Common Multiple of 91,34,28,34 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 91,34,28,34 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,34,28,34) = 1

common factors(in case of two or more numbers have common factors) = 476

GCF(91,34,28,34) x common factors =1 x 476 = 476

LCM(91,34,28,34) = ( 91 × 34 × 28 × 34 ) / 476

LCM(91,34,28,34) = 2945488 / 476

LCM(91,34,28,34) = 6188


Lets's calculate GCF of 48,96,54,111

3 48, 96, 54, 111
16, 32, 18, 37

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6188/3

Therefore the LCM of Fractions 91/48,34/96,28/54,34/111 is 6188/3

Greatest Common Factor of 48,96,54,111 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,96,54,111 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

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

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 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 111

List of positive integer factors of 111 that divides 111 without a remainder.

1,3,37,111

Greatest Common Factor

We found the factors 48,96,54,111 . The biggest common factor number is the GCF number.
So the greatest common factor 48,96,54,111 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 91/48, 34/96, 28/54, 34/111

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 91/48, 34/96, 28/54, 34/111?

Answer: LCM of Numerators as per given numbers 91/48, 34/96, 28/54, 34/111 is

LCM of Numerators i.e. for 91,34,28,34 is 6188

GCF of denominators i.e. for 48,96,54,111 is 3.

Thus, LCM of Fractions is 6188/3.Finally, LCM of Fractions for 91/48, 34/96, 28/54, 34/111 is 6188/3.