Least Common Multiple of 77/187, 5099/5863

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/187, 5099/5863 quickly i.e. 35693 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/187, 5099/5863 is 35693.

LCM(77/187, 5099/5863) = 35693

LCM of 77/187, 5099/5863

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 77/187,5099/5863

Given numbers are 77/187,5099/5863

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 77,5099

Least Common Multiple of Numerators i.e. LCM of 77,5099 is 392623.

GCF of Denominators means GCF of 187,5863 as per the given fractions.

GCF of 187,5863 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,5099

LCM of Fractions 77/187,5099/5863 is 35693

Given numbers has no common factors except 1. So, there LCM is their product i.e 392623

Least Common Multiple of 77,5099 with GCF Formula

Least Common Multiple of 77,5099 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 77,5099 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,5099) = 1

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

GCF(77,5099) x common factors =1 x 1 = 1

LCM(77,5099) = ( 77 × 5099 ) / 1

LCM(77,5099) = 392623 / 1

LCM(77,5099) = 392623


Lets's calculate GCF of 187,5863

11 187, 5863
17, 533

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 392623/11

Therefore the LCM of Fractions 77/187,5099/5863 is 35693

Greatest Common Factor of 187,5863 By Matching Biggest Common Factor Method

Greatest Common Factor of 187,5863 By Matching Biggest Common Factor Method

Factors of 187

List of positive integer factors of 187 that divides 187 without a remainder.

1,11,17,187

Factors of 5863

List of positive integer factors of 5863 that divides 5863 without a remainder.

1,11,13,41,143,451,533,5863

Greatest Common Factor

We found the factors 187,5863 . The biggest common factor number is the GCF number.
So the greatest common factor 187,5863 is 11.


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 77/187, 5099/5863

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 77/187, 5099/5863?

Answer: LCM of Numerators as per given numbers 77/187, 5099/5863 is

LCM of Numerators i.e. for 77,5099 is 392623

GCF of denominators i.e. for 187,5863 is 11.

Thus, LCM of Fractions is 35693.Finally, LCM of Fractions for 77/187, 5099/5863 is 35693.