Least Common Multiple of 8769/372, 3544/6116

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8769/372, 3544/6116 quickly i.e. 7769334 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8769/372, 3544/6116 is 7769334.

LCM(8769/372, 3544/6116) = 7769334

LCM of 8769/372, 3544/6116

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 8769/372,3544/6116

Given numbers are 8769/372,3544/6116

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 8769,3544

Least Common Multiple of Numerators i.e. LCM of 8769,3544 is 31077336.

GCF of Denominators means GCF of 372,6116 as per the given fractions.

GCF of 372,6116 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8769,3544

LCM of Fractions 8769/372,3544/6116 is 7769334

Given numbers has no common factors except 1. So, there LCM is their product i.e 31077336

Least Common Multiple of 8769,3544 with GCF Formula

Least Common Multiple of 8769,3544 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 8769,3544 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8769,3544) = 1

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

GCF(8769,3544) x common factors =1 x 1 = 1

LCM(8769,3544) = ( 8769 × 3544 ) / 1

LCM(8769,3544) = 31077336 / 1

LCM(8769,3544) = 31077336


Lets's calculate GCF of 372,6116

2 372, 6116
2 186, 3058
93, 1529

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31077336/4

Therefore the LCM of Fractions 8769/372,3544/6116 is 7769334

Greatest Common Factor of 372,6116 By Matching Biggest Common Factor Method

Greatest Common Factor of 372,6116 By Matching Biggest Common Factor Method

Factors of 372

List of positive integer factors of 372 that divides 372 without a remainder.

1,2,3,4,6,12,31,62,93,124,186,372

Factors of 6116

List of positive integer factors of 6116 that divides 6116 without a remainder.

1,2,4,11,22,44,139,278,556,1529,3058,6116

Greatest Common Factor

We found the factors 372,6116 . The biggest common factor number is the GCF number.
So the greatest common factor 372,6116 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 8769/372, 3544/6116

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 8769/372, 3544/6116?

Answer: LCM of Numerators as per given numbers 8769/372, 3544/6116 is

LCM of Numerators i.e. for 8769,3544 is 31077336

GCF of denominators i.e. for 372,6116 is 4.

Thus, LCM of Fractions is 7769334.Finally, LCM of Fractions for 8769/372, 3544/6116 is 7769334.