Least Common Multiple of 195/48, 677/6093

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 195/48, 677/6093 quickly i.e. 44005 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 195/48, 677/6093 is 44005.

LCM(195/48, 677/6093) = 44005

LCM of 195/48, 677/6093

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 195/48,677/6093

Given numbers are 195/48,677/6093

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 195,677

Least Common Multiple of Numerators i.e. LCM of 195,677 is 132015.

GCF of Denominators means GCF of 48,6093 as per the given fractions.

GCF of 48,6093 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 195,677

LCM of Fractions 195/48,677/6093 is 44005

Given numbers has no common factors except 1. So, there LCM is their product i.e 132015

Least Common Multiple of 195,677 with GCF Formula

Least Common Multiple of 195,677 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 195,677 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(195,677) = 1

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

GCF(195,677) x common factors =1 x 1 = 1

LCM(195,677) = ( 195 × 677 ) / 1

LCM(195,677) = 132015 / 1

LCM(195,677) = 132015


Lets's calculate GCF of 48,6093

3 48, 6093
16, 2031

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 132015/3

Therefore the LCM of Fractions 195/48,677/6093 is 44005

Greatest Common Factor of 48,6093 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,6093 By Matching Biggest Common Factor Method

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 6093

List of positive integer factors of 6093 that divides 6093 without a remainder.

1,3,9,677,2031,6093

Greatest Common Factor

We found the factors 48,6093 . The biggest common factor number is the GCF number.
So the greatest common factor 48,6093 is 3.


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 195/48, 677/6093

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 195/48, 677/6093?

Answer: LCM of Numerators as per given numbers 195/48, 677/6093 is

LCM of Numerators i.e. for 195,677 is 132015

GCF of denominators i.e. for 48,6093 is 3.

Thus, LCM of Fractions is 44005.Finally, LCM of Fractions for 195/48, 677/6093 is 44005.