Least Common Multiple of 538/646, 6921/225

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 538/646, 6921/225 quickly i.e. 3723498 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 538/646, 6921/225 is 3723498.

LCM(538/646, 6921/225) = 3723498

LCM of 538/646, 6921/225

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 538/646,6921/225

Given numbers are 538/646,6921/225

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 538,6921

Least Common Multiple of Numerators i.e. LCM of 538,6921 is 3723498.

GCF of Denominators means GCF of 646,225 as per the given fractions.

GCF of 646,225 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 538,6921

LCM of Fractions 538/646,6921/225 is 3723498

Given numbers has no common factors except 1. So, there LCM is their product i.e 3723498

Least Common Multiple of 538,6921 with GCF Formula

Least Common Multiple of 538,6921 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 538,6921 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(538,6921) = 1

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

GCF(538,6921) x common factors =1 x 1 = 1

LCM(538,6921) = ( 538 × 6921 ) / 1

LCM(538,6921) = 3723498 / 1

LCM(538,6921) = 3723498


Lets's calculate GCF of 646,225

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3723498/1

Therefore the LCM of Fractions 538/646,6921/225 is 3723498

Greatest Common Factor of 646,225 By Matching Biggest Common Factor Method

Greatest Common Factor of 646,225 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 225

List of positive integer factors of 225 that divides 225 without a remainder.

1,3,5,9,15,25,45,75,225

Greatest Common Factor

We found the factors 646,225 . The biggest common factor number is the GCF number.
So the greatest common factor 646,225 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 538/646, 6921/225

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 538/646, 6921/225?

Answer: LCM of Numerators as per given numbers 538/646, 6921/225 is

LCM of Numerators i.e. for 538,6921 is 3723498

GCF of denominators i.e. for 646,225 is 1.

Thus, LCM of Fractions is 3723498.Finally, LCM of Fractions for 538/646, 6921/225 is 3723498.