Least Common Multiple of 96/646, 4235/8531

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/646, 4235/8531 quickly i.e. 406560/19 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/646, 4235/8531 is 406560/19.

LCM(96/646, 4235/8531) = 406560/19

LCM of 96/646, 4235/8531

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 96/646,4235/8531

Given numbers are 96/646,4235/8531

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 96,4235

Least Common Multiple of Numerators i.e. LCM of 96,4235 is 406560.

GCF of Denominators means GCF of 646,8531 as per the given fractions.

GCF of 646,8531 is 19 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,4235

LCM of Fractions 96/646,4235/8531 is 406560/19

Given numbers has no common factors except 1. So, there LCM is their product i.e 406560

Least Common Multiple of 96,4235 with GCF Formula

Least Common Multiple of 96,4235 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 96,4235 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,4235) = 1

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

GCF(96,4235) x common factors =1 x 1 = 1

LCM(96,4235) = ( 96 × 4235 ) / 1

LCM(96,4235) = 406560 / 1

LCM(96,4235) = 406560


Lets's calculate GCF of 646,8531

19 646, 8531
34, 449

∴ So the GCF of the given numbers is 19 = 19

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 406560/19

Therefore the LCM of Fractions 96/646,4235/8531 is 406560/19

Greatest Common Factor of 646,8531 By Matching Biggest Common Factor Method

Greatest Common Factor of 646,8531 By Matching Biggest Common Factor Method

Factors of 646

List of positive integer factors of 646 that divides 646 without a remainder.

1,2,17,19,34,38,323,646

Factors of 8531

List of positive integer factors of 8531 that divides 8531 without a remainder.

1,19,449,8531

Greatest Common Factor

We found the factors 646,8531 . The biggest common factor number is the GCF number.
So the greatest common factor 646,8531 is 19.


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 96/646, 4235/8531

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 96/646, 4235/8531?

Answer: LCM of Numerators as per given numbers 96/646, 4235/8531 is

LCM of Numerators i.e. for 96,4235 is 406560

GCF of denominators i.e. for 646,8531 is 19.

Thus, LCM of Fractions is 406560/19.Finally, LCM of Fractions for 96/646, 4235/8531 is 406560/19.