Least Common Multiple of 102/87, 181/49, 601/321

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 102/87, 181/49, 601/321 quickly i.e. 11095662 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 102/87, 181/49, 601/321 is 11095662.

LCM(102/87, 181/49, 601/321) = 11095662

LCM of 102/87, 181/49, 601/321

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 102/87,181/49,601/321

Given numbers are 102/87,181/49,601/321

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 102,181,601

Least Common Multiple of Numerators i.e. LCM of 102,181,601 is 11095662.

GCF of Denominators means GCF of 87,49,321 as per the given fractions.

GCF of 87,49,321 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 102,181,601

LCM of Fractions 102/87,181/49,601/321 is 11095662

Given numbers has no common factors except 1. So, there LCM is their product i.e 11095662

Least Common Multiple of 102,181,601 with GCF Formula

Least Common Multiple of 102,181,601 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 102,181,601 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(102,181,601) = 1

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

GCF(102,181,601) x common factors =1 x 1 = 1

LCM(102,181,601) = ( 102 × 181 × 601 ) / 1

LCM(102,181,601) = 11095662 / 1

LCM(102,181,601) = 11095662


Lets's calculate GCF of 87,49,321

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11095662/1

Therefore the LCM of Fractions 102/87,181/49,601/321 is 11095662

Greatest Common Factor of 87,49,321 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,49,321 By Matching Biggest Common Factor Method

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 321

List of positive integer factors of 321 that divides 321 without a remainder.

1,3,107,321

Greatest Common Factor

We found the factors 87,49,321 . The biggest common factor number is the GCF number.
So the greatest common factor 87,49,321 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 102/87, 181/49, 601/321

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 102/87, 181/49, 601/321?

Answer: LCM of Numerators as per given numbers 102/87, 181/49, 601/321 is

LCM of Numerators i.e. for 102,181,601 is 11095662

GCF of denominators i.e. for 87,49,321 is 1.

Thus, LCM of Fractions is 11095662.Finally, LCM of Fractions for 102/87, 181/49, 601/321 is 11095662.