Least Common Multiple of 4177/963, 9231/7680

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4177/963, 9231/7680 quickly i.e. 12852629 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4177/963, 9231/7680 is 12852629.

LCM(4177/963, 9231/7680) = 12852629

LCM of 4177/963, 9231/7680

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 4177/963,9231/7680

Given numbers are 4177/963,9231/7680

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 4177,9231

Least Common Multiple of Numerators i.e. LCM of 4177,9231 is 38557887.

GCF of Denominators means GCF of 963,7680 as per the given fractions.

GCF of 963,7680 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4177,9231

LCM of Fractions 4177/963,9231/7680 is 12852629

Given numbers has no common factors except 1. So, there LCM is their product i.e 38557887

Least Common Multiple of 4177,9231 with GCF Formula

Least Common Multiple of 4177,9231 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 4177,9231 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4177,9231) = 1

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

GCF(4177,9231) x common factors =1 x 1 = 1

LCM(4177,9231) = ( 4177 × 9231 ) / 1

LCM(4177,9231) = 38557887 / 1

LCM(4177,9231) = 38557887


Lets's calculate GCF of 963,7680

3 963, 7680
321, 2560

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38557887/3

Therefore the LCM of Fractions 4177/963,9231/7680 is 12852629

Greatest Common Factor of 963,7680 By Matching Biggest Common Factor Method

Greatest Common Factor of 963,7680 By Matching Biggest Common Factor Method

Factors of 963

List of positive integer factors of 963 that divides 963 without a remainder.

1,3,9,107,321,963

Factors of 7680

List of positive integer factors of 7680 that divides 7680 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,128,160,192,240,256,320,384,480,512,640,768,960,1280,1536,1920,2560,3840,7680

Greatest Common Factor

We found the factors 963,7680 . The biggest common factor number is the GCF number.
So the greatest common factor 963,7680 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 4177/963, 9231/7680

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 4177/963, 9231/7680?

Answer: LCM of Numerators as per given numbers 4177/963, 9231/7680 is

LCM of Numerators i.e. for 4177,9231 is 38557887

GCF of denominators i.e. for 963,7680 is 3.

Thus, LCM of Fractions is 12852629.Finally, LCM of Fractions for 4177/963, 9231/7680 is 12852629.