Least Common Multiple of 93/144, 244/547, 928/114

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 93/144, 244/547, 928/114 quickly i.e. 5264544 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 93/144, 244/547, 928/114 is 5264544.

LCM(93/144, 244/547, 928/114) = 5264544

LCM of 93/144, 244/547, 928/114

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 93/144,244/547,928/114

Given numbers are 93/144,244/547,928/114

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 93,244,928

Least Common Multiple of Numerators i.e. LCM of 93,244,928 is 5264544.

GCF of Denominators means GCF of 144,547,114 as per the given fractions.

GCF of 144,547,114 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 93,244,928

LCM of Fractions 93/144,244/547,928/114 is 5264544

2 93, 244, 928
2 93, 122, 464
93, 61, 232

∴ So the LCM of the given numbers is 2 x 2 x 93 x 61 x 232 = 5264544

Least Common Multiple of 93,244,928 with GCF Formula

Least Common Multiple of 93,244,928 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 93,244,928 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(93,244,928) = 1

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

GCF(93,244,928) x common factors =1 x 4 = 4

LCM(93,244,928) = ( 93 × 244 × 928 ) / 4

LCM(93,244,928) = 21058176 / 4

LCM(93,244,928) = 5264544


Lets's calculate GCF of 144,547,114

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5264544/1

Therefore the LCM of Fractions 93/144,244/547,928/114 is 5264544

Greatest Common Factor of 144,547,114 By Matching Biggest Common Factor Method

Greatest Common Factor of 144,547,114 By Matching Biggest Common Factor Method

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Factors of 547

List of positive integer factors of 547 that divides 547 without a remainder.

1,547

Factors of 114

List of positive integer factors of 114 that divides 114 without a remainder.

1,2,3,6,19,38,57,114

Greatest Common Factor

We found the factors 144,547,114 . The biggest common factor number is the GCF number.
So the greatest common factor 144,547,114 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 93/144, 244/547, 928/114

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 93/144, 244/547, 928/114?

Answer: LCM of Numerators as per given numbers 93/144, 244/547, 928/114 is

LCM of Numerators i.e. for 93,244,928 is 5264544

GCF of denominators i.e. for 144,547,114 is 1.

Thus, LCM of Fractions is 5264544.Finally, LCM of Fractions for 93/144, 244/547, 928/114 is 5264544.