Least Common Multiple of 9777/76, 6138/550

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9777/76, 6138/550 quickly i.e. 10001871 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9777/76, 6138/550 is 10001871.

LCM(9777/76, 6138/550) = 10001871

LCM of 9777/76, 6138/550

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 9777/76,6138/550

Given numbers are 9777/76,6138/550

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 9777,6138

Least Common Multiple of Numerators i.e. LCM of 9777,6138 is 20003742.

GCF of Denominators means GCF of 76,550 as per the given fractions.

GCF of 76,550 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9777,6138

LCM of Fractions 9777/76,6138/550 is 10001871

3 9777, 6138
3259, 2046

∴ So the LCM of the given numbers is 3 x 3259 x 2046 = 20003742

Least Common Multiple of 9777,6138 with GCF Formula

Least Common Multiple of 9777,6138 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 9777,6138 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9777,6138) = 3

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

GCF(9777,6138) x common factors =3 x 1 = 3

LCM(9777,6138) = ( 9777 × 6138 ) / 3

LCM(9777,6138) = 60011226 / 3

LCM(9777,6138) = 20003742


Lets's calculate GCF of 76,550

2 76, 550
38, 275

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20003742/2

Therefore the LCM of Fractions 9777/76,6138/550 is 10001871

Greatest Common Factor of 76,550 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,550 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 550

List of positive integer factors of 550 that divides 550 without a remainder.

1,2,5,10,11,22,25,50,55,110,275,550

Greatest Common Factor

We found the factors 76,550 . The biggest common factor number is the GCF number.
So the greatest common factor 76,550 is 2.


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 9777/76, 6138/550

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 9777/76, 6138/550?

Answer: LCM of Numerators as per given numbers 9777/76, 6138/550 is

LCM of Numerators i.e. for 9777,6138 is 20003742

GCF of denominators i.e. for 76,550 is 2.

Thus, LCM of Fractions is 10001871.Finally, LCM of Fractions for 9777/76, 6138/550 is 10001871.