Least Common Multiple of 646/83, 364/7625

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 646/83, 364/7625 quickly i.e. 117572 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 646/83, 364/7625 is 117572.

LCM(646/83, 364/7625) = 117572

LCM of 646/83, 364/7625

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 646/83,364/7625

Given numbers are 646/83,364/7625

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 646,364

Least Common Multiple of Numerators i.e. LCM of 646,364 is 117572.

GCF of Denominators means GCF of 83,7625 as per the given fractions.

GCF of 83,7625 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 646,364

LCM of Fractions 646/83,364/7625 is 117572

2 646, 364
323, 182

∴ So the LCM of the given numbers is 2 x 323 x 182 = 117572

Least Common Multiple of 646,364 with GCF Formula

Least Common Multiple of 646,364 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 646,364 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(646,364) = 2

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

GCF(646,364) x common factors =2 x 1 = 2

LCM(646,364) = ( 646 × 364 ) / 2

LCM(646,364) = 235144 / 2

LCM(646,364) = 117572


Lets's calculate GCF of 83,7625

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 117572/1

Therefore the LCM of Fractions 646/83,364/7625 is 117572

Greatest Common Factor of 83,7625 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,7625 By Matching Biggest Common Factor Method

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 7625

List of positive integer factors of 7625 that divides 7625 without a remainder.

1,5,25,61,125,305,1525,7625

Greatest Common Factor

We found the factors 83,7625 . The biggest common factor number is the GCF number.
So the greatest common factor 83,7625 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 646/83, 364/7625

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 646/83, 364/7625?

Answer: LCM of Numerators as per given numbers 646/83, 364/7625 is

LCM of Numerators i.e. for 646,364 is 117572

GCF of denominators i.e. for 83,7625 is 1.

Thus, LCM of Fractions is 117572.Finally, LCM of Fractions for 646/83, 364/7625 is 117572.