Least Common Multiple of 5432/99, 7642/406

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5432/99, 7642/406 quickly i.e. 20755672 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5432/99, 7642/406 is 20755672.

LCM(5432/99, 7642/406) = 20755672

LCM of 5432/99, 7642/406

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 5432/99,7642/406

Given numbers are 5432/99,7642/406

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 5432,7642

Least Common Multiple of Numerators i.e. LCM of 5432,7642 is 20755672.

GCF of Denominators means GCF of 99,406 as per the given fractions.

GCF of 99,406 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5432,7642

LCM of Fractions 5432/99,7642/406 is 20755672

2 5432, 7642
2716, 3821

∴ So the LCM of the given numbers is 2 x 2716 x 3821 = 20755672

Least Common Multiple of 5432,7642 with GCF Formula

Least Common Multiple of 5432,7642 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 5432,7642 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5432,7642) = 2

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

GCF(5432,7642) x common factors =2 x 1 = 2

LCM(5432,7642) = ( 5432 × 7642 ) / 2

LCM(5432,7642) = 41511344 / 2

LCM(5432,7642) = 20755672


Lets's calculate GCF of 99,406

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20755672/1

Therefore the LCM of Fractions 5432/99,7642/406 is 20755672

Greatest Common Factor of 99,406 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,406 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 406

List of positive integer factors of 406 that divides 406 without a remainder.

1,2,7,14,29,58,203,406

Greatest Common Factor

We found the factors 99,406 . The biggest common factor number is the GCF number.
So the greatest common factor 99,406 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 5432/99, 7642/406

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 5432/99, 7642/406?

Answer: LCM of Numerators as per given numbers 5432/99, 7642/406 is

LCM of Numerators i.e. for 5432,7642 is 20755672

GCF of denominators i.e. for 99,406 is 1.

Thus, LCM of Fractions is 20755672.Finally, LCM of Fractions for 5432/99, 7642/406 is 20755672.