Least Common Multiple of 107/234, 9770/6177

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 107/234, 9770/6177 quickly i.e. 1045390/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 107/234, 9770/6177 is 1045390/3.

LCM(107/234, 9770/6177) = 1045390/3

LCM of 107/234, 9770/6177

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 107/234,9770/6177

Given numbers are 107/234,9770/6177

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 107,9770

Least Common Multiple of Numerators i.e. LCM of 107,9770 is 1045390.

GCF of Denominators means GCF of 234,6177 as per the given fractions.

GCF of 234,6177 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 107,9770

LCM of Fractions 107/234,9770/6177 is 1045390/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 1045390

Least Common Multiple of 107,9770 with GCF Formula

Least Common Multiple of 107,9770 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 107,9770 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(107,9770) = 1

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

GCF(107,9770) x common factors =1 x 1 = 1

LCM(107,9770) = ( 107 × 9770 ) / 1

LCM(107,9770) = 1045390 / 1

LCM(107,9770) = 1045390


Lets's calculate GCF of 234,6177

3 234, 6177
78, 2059

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1045390/3

Therefore the LCM of Fractions 107/234,9770/6177 is 1045390/3

Greatest Common Factor of 234,6177 By Matching Biggest Common Factor Method

Greatest Common Factor of 234,6177 By Matching Biggest Common Factor Method

Factors of 234

List of positive integer factors of 234 that divides 234 without a remainder.

1,2,3,6,9,13,18,26,39,78,117,234

Factors of 6177

List of positive integer factors of 6177 that divides 6177 without a remainder.

1,3,29,71,87,213,2059,6177

Greatest Common Factor

We found the factors 234,6177 . The biggest common factor number is the GCF number.
So the greatest common factor 234,6177 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 107/234, 9770/6177

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 107/234, 9770/6177?

Answer: LCM of Numerators as per given numbers 107/234, 9770/6177 is

LCM of Numerators i.e. for 107,9770 is 1045390

GCF of denominators i.e. for 234,6177 is 3.

Thus, LCM of Fractions is 1045390/3.Finally, LCM of Fractions for 107/234, 9770/6177 is 1045390/3.