Least Common Multiple of 642/487, 3198/2120

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 642/487, 3198/2120 quickly i.e. 342186 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 642/487, 3198/2120 is 342186.

LCM(642/487, 3198/2120) = 342186

LCM of 642/487, 3198/2120

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 642/487,3198/2120

Given numbers are 642/487,3198/2120

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 642,3198

Least Common Multiple of Numerators i.e. LCM of 642,3198 is 342186.

GCF of Denominators means GCF of 487,2120 as per the given fractions.

GCF of 487,2120 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 642,3198

LCM of Fractions 642/487,3198/2120 is 342186

2 642, 3198
3 321, 1599
107, 533

∴ So the LCM of the given numbers is 2 x 3 x 107 x 533 = 342186

Least Common Multiple of 642,3198 with GCF Formula

Least Common Multiple of 642,3198 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 642,3198 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(642,3198) = 6

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

GCF(642,3198) x common factors =6 x 1 = 6

LCM(642,3198) = ( 642 × 3198 ) / 6

LCM(642,3198) = 2053116 / 6

LCM(642,3198) = 342186


Lets's calculate GCF of 487,2120

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 342186/1

Therefore the LCM of Fractions 642/487,3198/2120 is 342186

Greatest Common Factor of 487,2120 By Matching Biggest Common Factor Method

Greatest Common Factor of 487,2120 By Matching Biggest Common Factor Method

Factors of 487

List of positive integer factors of 487 that divides 487 without a remainder.

1,487

Factors of 2120

List of positive integer factors of 2120 that divides 2120 without a remainder.

1,2,4,5,8,10,20,40,53,106,212,265,424,530,1060,2120

Greatest Common Factor

We found the factors 487,2120 . The biggest common factor number is the GCF number.
So the greatest common factor 487,2120 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 642/487, 3198/2120

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 642/487, 3198/2120?

Answer: LCM of Numerators as per given numbers 642/487, 3198/2120 is

LCM of Numerators i.e. for 642,3198 is 342186

GCF of denominators i.e. for 487,2120 is 1.

Thus, LCM of Fractions is 342186.Finally, LCM of Fractions for 642/487, 3198/2120 is 342186.