Least Common Multiple of 77/221, 753/305, 646/198

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/221, 753/305, 646/198 quickly i.e. 37455726 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/221, 753/305, 646/198 is 37455726.

LCM(77/221, 753/305, 646/198) = 37455726

LCM of 77/221, 753/305, 646/198

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 77/221,753/305,646/198

Given numbers are 77/221,753/305,646/198

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 77,753,646

Least Common Multiple of Numerators i.e. LCM of 77,753,646 is 37455726.

GCF of Denominators means GCF of 221,305,198 as per the given fractions.

GCF of 221,305,198 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,753,646

LCM of Fractions 77/221,753/305,646/198 is 37455726

Given numbers has no common factors except 1. So, there LCM is their product i.e 37455726

Least Common Multiple of 77,753,646 with GCF Formula

Least Common Multiple of 77,753,646 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 77,753,646 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,753,646) = 1

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

GCF(77,753,646) x common factors =1 x 1 = 1

LCM(77,753,646) = ( 77 × 753 × 646 ) / 1

LCM(77,753,646) = 37455726 / 1

LCM(77,753,646) = 37455726


Lets's calculate GCF of 221,305,198

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37455726/1

Therefore the LCM of Fractions 77/221,753/305,646/198 is 37455726

Greatest Common Factor of 221,305,198 By Matching Biggest Common Factor Method

Greatest Common Factor of 221,305,198 By Matching Biggest Common Factor Method

Factors of 221

List of positive integer factors of 221 that divides 221 without a remainder.

1,13,17,221

Factors of 305

List of positive integer factors of 305 that divides 305 without a remainder.

1,5,61,305

Factors of 198

List of positive integer factors of 198 that divides 198 without a remainder.

1,2,3,6,9,11,18,22,33,66,99,198

Greatest Common Factor

We found the factors 221,305,198 . The biggest common factor number is the GCF number.
So the greatest common factor 221,305,198 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 77/221, 753/305, 646/198

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 77/221, 753/305, 646/198?

Answer: LCM of Numerators as per given numbers 77/221, 753/305, 646/198 is

LCM of Numerators i.e. for 77,753,646 is 37455726

GCF of denominators i.e. for 221,305,198 is 1.

Thus, LCM of Fractions is 37455726.Finally, LCM of Fractions for 77/221, 753/305, 646/198 is 37455726.