Least Common Multiple of 9777/860, 7077/3884

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9777/860, 7077/3884 quickly i.e. 23063943/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9777/860, 7077/3884 is 23063943/4.

LCM(9777/860, 7077/3884) = 23063943/4

LCM of 9777/860, 7077/3884

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 9777/860,7077/3884

Given numbers are 9777/860,7077/3884

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 9777,7077

Least Common Multiple of Numerators i.e. LCM of 9777,7077 is 23063943.

GCF of Denominators means GCF of 860,3884 as per the given fractions.

GCF of 860,3884 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9777,7077

LCM of Fractions 9777/860,7077/3884 is 23063943/4

3 9777, 7077
3259, 2359

∴ So the LCM of the given numbers is 3 x 3259 x 2359 = 23063943

Least Common Multiple of 9777,7077 with GCF Formula

Least Common Multiple of 9777,7077 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 9777,7077 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9777,7077) = 3

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

GCF(9777,7077) x common factors =3 x 1 = 3

LCM(9777,7077) = ( 9777 × 7077 ) / 3

LCM(9777,7077) = 69191829 / 3

LCM(9777,7077) = 23063943


Lets's calculate GCF of 860,3884

2 860, 3884
2 430, 1942
215, 971

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23063943/4

Therefore the LCM of Fractions 9777/860,7077/3884 is 23063943/4

Greatest Common Factor of 860,3884 By Matching Biggest Common Factor Method

Greatest Common Factor of 860,3884 By Matching Biggest Common Factor Method

Factors of 860

List of positive integer factors of 860 that divides 860 without a remainder.

1,2,4,5,10,20,43,86,172,215,430,860

Factors of 3884

List of positive integer factors of 3884 that divides 3884 without a remainder.

1,2,4,971,1942,3884

Greatest Common Factor

We found the factors 860,3884 . The biggest common factor number is the GCF number.
So the greatest common factor 860,3884 is 4.


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 9777/860, 7077/3884

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 9777/860, 7077/3884?

Answer: LCM of Numerators as per given numbers 9777/860, 7077/3884 is

LCM of Numerators i.e. for 9777,7077 is 23063943

GCF of denominators i.e. for 860,3884 is 4.

Thus, LCM of Fractions is 23063943/4.Finally, LCM of Fractions for 9777/860, 7077/3884 is 23063943/4.