Least Common Multiple of 9678/902, 8763/410

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9678/902, 8763/410 quickly i.e. 28269438/82 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9678/902, 8763/410 is 28269438/82.

LCM(9678/902, 8763/410) = 28269438/82

LCM of 9678/902, 8763/410

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 9678/902,8763/410

Given numbers are 9678/902,8763/410

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 9678,8763

Least Common Multiple of Numerators i.e. LCM of 9678,8763 is 28269438.

GCF of Denominators means GCF of 902,410 as per the given fractions.

GCF of 902,410 is 82 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9678,8763

LCM of Fractions 9678/902,8763/410 is 28269438/82

3 9678, 8763
3226, 2921

∴ So the LCM of the given numbers is 3 x 3226 x 2921 = 28269438

Least Common Multiple of 9678,8763 with GCF Formula

Least Common Multiple of 9678,8763 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 9678,8763 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9678,8763) = 3

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

GCF(9678,8763) x common factors =3 x 1 = 3

LCM(9678,8763) = ( 9678 × 8763 ) / 3

LCM(9678,8763) = 84808314 / 3

LCM(9678,8763) = 28269438


Lets's calculate GCF of 902,410

2 902, 410
41 451, 205
11, 5

∴ So the GCF of the given numbers is 2 x 41 = 82

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28269438/82

Therefore the LCM of Fractions 9678/902,8763/410 is 28269438/82

Greatest Common Factor of 902,410 By Matching Biggest Common Factor Method

Greatest Common Factor of 902,410 By Matching Biggest Common Factor Method

Factors of 902

List of positive integer factors of 902 that divides 902 without a remainder.

1,2,11,22,41,82,451,902

Factors of 410

List of positive integer factors of 410 that divides 410 without a remainder.

1,2,5,10,41,82,205,410

Greatest Common Factor

We found the factors 902,410 . The biggest common factor number is the GCF number.
So the greatest common factor 902,410 is 82.


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 9678/902, 8763/410

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 9678/902, 8763/410?

Answer: LCM of Numerators as per given numbers 9678/902, 8763/410 is

LCM of Numerators i.e. for 9678,8763 is 28269438

GCF of denominators i.e. for 902,410 is 82.

Thus, LCM of Fractions is 28269438/82.Finally, LCM of Fractions for 9678/902, 8763/410 is 28269438/82.