Least Common Multiple of 7404/448, 9878/8901

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7404/448, 9878/8901 quickly i.e. 36568356 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7404/448, 9878/8901 is 36568356.

LCM(7404/448, 9878/8901) = 36568356

LCM of 7404/448, 9878/8901

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 7404/448,9878/8901

Given numbers are 7404/448,9878/8901

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 7404,9878

Least Common Multiple of Numerators i.e. LCM of 7404,9878 is 36568356.

GCF of Denominators means GCF of 448,8901 as per the given fractions.

GCF of 448,8901 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7404,9878

LCM of Fractions 7404/448,9878/8901 is 36568356

2 7404, 9878
3702, 4939

∴ So the LCM of the given numbers is 2 x 3702 x 4939 = 36568356

Least Common Multiple of 7404,9878 with GCF Formula

Least Common Multiple of 7404,9878 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 7404,9878 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7404,9878) = 2

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

GCF(7404,9878) x common factors =2 x 1 = 2

LCM(7404,9878) = ( 7404 × 9878 ) / 2

LCM(7404,9878) = 73136712 / 2

LCM(7404,9878) = 36568356


Lets's calculate GCF of 448,8901

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36568356/1

Therefore the LCM of Fractions 7404/448,9878/8901 is 36568356

Greatest Common Factor of 448,8901 By Matching Biggest Common Factor Method

Greatest Common Factor of 448,8901 By Matching Biggest Common Factor Method

Factors of 448

List of positive integer factors of 448 that divides 448 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,224,448

Factors of 8901

List of positive integer factors of 8901 that divides 8901 without a remainder.

1,3,9,23,43,69,129,207,387,989,2967,8901

Greatest Common Factor

We found the factors 448,8901 . The biggest common factor number is the GCF number.
So the greatest common factor 448,8901 is 1.


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 7404/448, 9878/8901

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 7404/448, 9878/8901?

Answer: LCM of Numerators as per given numbers 7404/448, 9878/8901 is

LCM of Numerators i.e. for 7404,9878 is 36568356

GCF of denominators i.e. for 448,8901 is 1.

Thus, LCM of Fractions is 36568356.Finally, LCM of Fractions for 7404/448, 9878/8901 is 36568356.