Least Common Multiple of 6642/448, 5432/4300

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6642/448, 5432/4300 quickly i.e. 4509918 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6642/448, 5432/4300 is 4509918.

LCM(6642/448, 5432/4300) = 4509918

LCM of 6642/448, 5432/4300

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 6642/448,5432/4300

Given numbers are 6642/448,5432/4300

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 6642,5432

Least Common Multiple of Numerators i.e. LCM of 6642,5432 is 18039672.

GCF of Denominators means GCF of 448,4300 as per the given fractions.

GCF of 448,4300 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6642,5432

LCM of Fractions 6642/448,5432/4300 is 4509918

2 6642, 5432
3321, 2716

∴ So the LCM of the given numbers is 2 x 3321 x 2716 = 18039672

Least Common Multiple of 6642,5432 with GCF Formula

Least Common Multiple of 6642,5432 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 6642,5432 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6642,5432) = 2

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

GCF(6642,5432) x common factors =2 x 1 = 2

LCM(6642,5432) = ( 6642 × 5432 ) / 2

LCM(6642,5432) = 36079344 / 2

LCM(6642,5432) = 18039672


Lets's calculate GCF of 448,4300

2 448, 4300
2 224, 2150
112, 1075

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18039672/4

Therefore the LCM of Fractions 6642/448,5432/4300 is 4509918

Greatest Common Factor of 448,4300 By Matching Biggest Common Factor Method

Greatest Common Factor of 448,4300 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 4300

List of positive integer factors of 4300 that divides 4300 without a remainder.

1,2,4,5,10,20,25,43,50,86,100,172,215,430,860,1075,2150,4300

Greatest Common Factor

We found the factors 448,4300 . The biggest common factor number is the GCF number.
So the greatest common factor 448,4300 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 6642/448, 5432/4300

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 6642/448, 5432/4300?

Answer: LCM of Numerators as per given numbers 6642/448, 5432/4300 is

LCM of Numerators i.e. for 6642,5432 is 18039672

GCF of denominators i.e. for 448,4300 is 4.

Thus, LCM of Fractions is 4509918.Finally, LCM of Fractions for 6642/448, 5432/4300 is 4509918.