Least Common Multiple of 863/114, 1543/5092

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 863/114, 1543/5092 quickly i.e. 1331609/38 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 863/114, 1543/5092 is 1331609/38.

LCM(863/114, 1543/5092) = 1331609/38

LCM of 863/114, 1543/5092

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 863/114,1543/5092

Given numbers are 863/114,1543/5092

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 863,1543

Least Common Multiple of Numerators i.e. LCM of 863,1543 is 1331609.

GCF of Denominators means GCF of 114,5092 as per the given fractions.

GCF of 114,5092 is 38 as it is the largest common factor for these numbers.

Lets's calculate LCM of 863,1543

LCM of Fractions 863/114,1543/5092 is 1331609/38

Given numbers has no common factors except 1. So, there LCM is their product i.e 1331609

Least Common Multiple of 863,1543 with GCF Formula

Least Common Multiple of 863,1543 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 863,1543 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(863,1543) = 1

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

GCF(863,1543) x common factors =1 x 1 = 1

LCM(863,1543) = ( 863 × 1543 ) / 1

LCM(863,1543) = 1331609 / 1

LCM(863,1543) = 1331609


Lets's calculate GCF of 114,5092

2 114, 5092
19 57, 2546
3, 134

∴ So the GCF of the given numbers is 2 x 19 = 38

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1331609/38

Therefore the LCM of Fractions 863/114,1543/5092 is 1331609/38

Greatest Common Factor of 114,5092 By Matching Biggest Common Factor Method

Greatest Common Factor of 114,5092 By Matching Biggest Common Factor Method

Factors of 114

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

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

Factors of 5092

List of positive integer factors of 5092 that divides 5092 without a remainder.

1,2,4,19,38,67,76,134,268,1273,2546,5092

Greatest Common Factor

We found the factors 114,5092 . The biggest common factor number is the GCF number.
So the greatest common factor 114,5092 is 38.


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 863/114, 1543/5092

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 863/114, 1543/5092?

Answer: LCM of Numerators as per given numbers 863/114, 1543/5092 is

LCM of Numerators i.e. for 863,1543 is 1331609

GCF of denominators i.e. for 114,5092 is 38.

Thus, LCM of Fractions is 1331609/38.Finally, LCM of Fractions for 863/114, 1543/5092 is 1331609/38.