Least Common Multiple of 96/47, 111/48, 509/141

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/47, 111/48, 509/141 quickly i.e. 1807968 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/47, 111/48, 509/141 is 1807968.

LCM(96/47, 111/48, 509/141) = 1807968

LCM of 96/47, 111/48, 509/141

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 96/47,111/48,509/141

Given numbers are 96/47,111/48,509/141

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 96,111,509

Least Common Multiple of Numerators i.e. LCM of 96,111,509 is 1807968.

GCF of Denominators means GCF of 47,48,141 as per the given fractions.

GCF of 47,48,141 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,111,509

LCM of Fractions 96/47,111/48,509/141 is 1807968

3 96, 111, 509
32, 37, 509

∴ So the LCM of the given numbers is 3 x 32 x 37 x 509 = 1807968

Least Common Multiple of 96,111,509 with GCF Formula

Least Common Multiple of 96,111,509 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 96,111,509 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,111,509) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(96,111,509) x common factors =1 x 3 = 3

LCM(96,111,509) = ( 96 × 111 × 509 ) / 3

LCM(96,111,509) = 5423904 / 3

LCM(96,111,509) = 1807968


Lets's calculate GCF of 47,48,141

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1807968/1

Therefore the LCM of Fractions 96/47,111/48,509/141 is 1807968

Greatest Common Factor of 47,48,141 By Matching Biggest Common Factor Method

Greatest Common Factor of 47,48,141 By Matching Biggest Common Factor Method

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

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 141

List of positive integer factors of 141 that divides 141 without a remainder.

1,3,47,141

Greatest Common Factor

We found the factors 47,48,141 . The biggest common factor number is the GCF number.
So the greatest common factor 47,48,141 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 96/47, 111/48, 509/141

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 96/47, 111/48, 509/141?

Answer: LCM of Numerators as per given numbers 96/47, 111/48, 509/141 is

LCM of Numerators i.e. for 96,111,509 is 1807968

GCF of denominators i.e. for 47,48,141 is 1.

Thus, LCM of Fractions is 1807968.Finally, LCM of Fractions for 96/47, 111/48, 509/141 is 1807968.