Least Common Multiple of 9777/527, 9943/102

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9777/527, 9943/102 quickly i.e. 97212711/17 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9777/527, 9943/102 is 97212711/17.

LCM(9777/527, 9943/102) = 97212711/17

LCM of 9777/527, 9943/102

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 9777/527,9943/102

Given numbers are 9777/527,9943/102

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 9777,9943

Least Common Multiple of Numerators i.e. LCM of 9777,9943 is 97212711.

GCF of Denominators means GCF of 527,102 as per the given fractions.

GCF of 527,102 is 17 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9777,9943

LCM of Fractions 9777/527,9943/102 is 97212711/17

Given numbers has no common factors except 1. So, there LCM is their product i.e 97212711

Least Common Multiple of 9777,9943 with GCF Formula

Least Common Multiple of 9777,9943 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 9777,9943 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9777,9943) = 1

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

GCF(9777,9943) x common factors =1 x 1 = 1

LCM(9777,9943) = ( 9777 × 9943 ) / 1

LCM(9777,9943) = 97212711 / 1

LCM(9777,9943) = 97212711


Lets's calculate GCF of 527,102

17 527, 102
31, 6

∴ So the GCF of the given numbers is 17 = 17

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 97212711/17

Therefore the LCM of Fractions 9777/527,9943/102 is 97212711/17

Greatest Common Factor of 527,102 By Matching Biggest Common Factor Method

Greatest Common Factor of 527,102 By Matching Biggest Common Factor Method

Factors of 527

List of positive integer factors of 527 that divides 527 without a remainder.

1,17,31,527

Factors of 102

List of positive integer factors of 102 that divides 102 without a remainder.

1,2,3,6,17,34,51,102

Greatest Common Factor

We found the factors 527,102 . The biggest common factor number is the GCF number.
So the greatest common factor 527,102 is 17.


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 9777/527, 9943/102

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 9777/527, 9943/102?

Answer: LCM of Numerators as per given numbers 9777/527, 9943/102 is

LCM of Numerators i.e. for 9777,9943 is 97212711

GCF of denominators i.e. for 527,102 is 17.

Thus, LCM of Fractions is 97212711/17.Finally, LCM of Fractions for 9777/527, 9943/102 is 97212711/17.