Least Common Multiple of 642/78, 111/51, 981/609

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 642/78, 111/51, 981/609 quickly i.e. 2589186 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 642/78, 111/51, 981/609 is 2589186.

LCM(642/78, 111/51, 981/609) = 2589186

LCM of 642/78, 111/51, 981/609

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 642/78,111/51,981/609

Given numbers are 642/78,111/51,981/609

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 642,111,981

Least Common Multiple of Numerators i.e. LCM of 642,111,981 is 7767558.

GCF of Denominators means GCF of 78,51,609 as per the given fractions.

GCF of 78,51,609 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 642,111,981

LCM of Fractions 642/78,111/51,981/609 is 2589186

3 642, 111, 981
214, 37, 327

∴ So the LCM of the given numbers is 3 x 214 x 37 x 327 = 7767558

Least Common Multiple of 642,111,981 with GCF Formula

Least Common Multiple of 642,111,981 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 642,111,981 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(642,111,981) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(642,111,981) x common factors =3 x 3 = 9

LCM(642,111,981) = ( 642 × 111 × 981 ) / 9

LCM(642,111,981) = 69908022 / 9

LCM(642,111,981) = 7767558


Lets's calculate GCF of 78,51,609

3 78, 51, 609
26, 17, 203

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7767558/3

Therefore the LCM of Fractions 642/78,111/51,981/609 is 2589186

Greatest Common Factor of 78,51,609 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,51,609 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 609

List of positive integer factors of 609 that divides 609 without a remainder.

1,3,7,21,29,87,203,609

Greatest Common Factor

We found the factors 78,51,609 . The biggest common factor number is the GCF number.
So the greatest common factor 78,51,609 is 3.


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 642/78, 111/51, 981/609

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 642/78, 111/51, 981/609?

Answer: LCM of Numerators as per given numbers 642/78, 111/51, 981/609 is

LCM of Numerators i.e. for 642,111,981 is 7767558

GCF of denominators i.e. for 78,51,609 is 3.

Thus, LCM of Fractions is 2589186.Finally, LCM of Fractions for 642/78, 111/51, 981/609 is 2589186.