Least Common Multiple of 287/96, 538/1758

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 287/96, 538/1758 quickly i.e. 154406/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 287/96, 538/1758 is 154406/6.

LCM(287/96, 538/1758) = 154406/6

LCM of 287/96, 538/1758

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 287/96,538/1758

Given numbers are 287/96,538/1758

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 287,538

Least Common Multiple of Numerators i.e. LCM of 287,538 is 154406.

GCF of Denominators means GCF of 96,1758 as per the given fractions.

GCF of 96,1758 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 287,538

LCM of Fractions 287/96,538/1758 is 154406/6

Given numbers has no common factors except 1. So, there LCM is their product i.e 154406

Least Common Multiple of 287,538 with GCF Formula

Least Common Multiple of 287,538 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 287,538 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(287,538) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(287,538) x common factors =1 x 1 = 1

LCM(287,538) = ( 287 × 538 ) / 1

LCM(287,538) = 154406 / 1

LCM(287,538) = 154406


Lets's calculate GCF of 96,1758

2 96, 1758
3 48, 879
16, 293

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 154406/6

Therefore the LCM of Fractions 287/96,538/1758 is 154406/6

Greatest Common Factor of 96,1758 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,1758 By Matching Biggest Common Factor Method

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 1758

List of positive integer factors of 1758 that divides 1758 without a remainder.

1,2,3,6,293,586,879,1758

Greatest Common Factor

We found the factors 96,1758 . The biggest common factor number is the GCF number.
So the greatest common factor 96,1758 is 6.


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 287/96, 538/1758

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 287/96, 538/1758?

Answer: LCM of Numerators as per given numbers 287/96, 538/1758 is

LCM of Numerators i.e. for 287,538 is 154406

GCF of denominators i.e. for 96,1758 is 6.

Thus, LCM of Fractions is 154406/6.Finally, LCM of Fractions for 287/96, 538/1758 is 154406/6.