Least Common Multiple of 7561/48, 6432/448

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7561/48, 6432/448 quickly i.e. 3039522 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7561/48, 6432/448 is 3039522.

LCM(7561/48, 6432/448) = 3039522

LCM of 7561/48, 6432/448

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 7561/48,6432/448

Given numbers are 7561/48,6432/448

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 7561,6432

Least Common Multiple of Numerators i.e. LCM of 7561,6432 is 48632352.

GCF of Denominators means GCF of 48,448 as per the given fractions.

GCF of 48,448 is 16 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7561,6432

LCM of Fractions 7561/48,6432/448 is 3039522

Given numbers has no common factors except 1. So, there LCM is their product i.e 48632352

Least Common Multiple of 7561,6432 with GCF Formula

Least Common Multiple of 7561,6432 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 7561,6432 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7561,6432) = 1

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

GCF(7561,6432) x common factors =1 x 1 = 1

LCM(7561,6432) = ( 7561 × 6432 ) / 1

LCM(7561,6432) = 48632352 / 1

LCM(7561,6432) = 48632352


Lets's calculate GCF of 48,448

2 48, 448
2 24, 224
2 12, 112
2 6, 56
3, 28

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48632352/16

Therefore the LCM of Fractions 7561/48,6432/448 is 3039522

Greatest Common Factor of 48,448 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,448 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

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

Greatest Common Factor

We found the factors 48,448 . The biggest common factor number is the GCF number.
So the greatest common factor 48,448 is 16.


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 7561/48, 6432/448

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 7561/48, 6432/448?

Answer: LCM of Numerators as per given numbers 7561/48, 6432/448 is

LCM of Numerators i.e. for 7561,6432 is 48632352

GCF of denominators i.e. for 48,448 is 16.

Thus, LCM of Fractions is 3039522.Finally, LCM of Fractions for 7561/48, 6432/448 is 3039522.