Least Common Multiple of 427/648, 3082/142

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 427/648, 3082/142 quickly i.e. 658007 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 427/648, 3082/142 is 658007.

LCM(427/648, 3082/142) = 658007

LCM of 427/648, 3082/142

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 427/648,3082/142

Given numbers are 427/648,3082/142

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 427,3082

Least Common Multiple of Numerators i.e. LCM of 427,3082 is 1316014.

GCF of Denominators means GCF of 648,142 as per the given fractions.

GCF of 648,142 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 427,3082

LCM of Fractions 427/648,3082/142 is 658007

Given numbers has no common factors except 1. So, there LCM is their product i.e 1316014

Least Common Multiple of 427,3082 with GCF Formula

Least Common Multiple of 427,3082 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 427,3082 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(427,3082) = 1

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

GCF(427,3082) x common factors =1 x 1 = 1

LCM(427,3082) = ( 427 × 3082 ) / 1

LCM(427,3082) = 1316014 / 1

LCM(427,3082) = 1316014


Lets's calculate GCF of 648,142

2 648, 142
324, 71

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1316014/2

Therefore the LCM of Fractions 427/648,3082/142 is 658007

Greatest Common Factor of 648,142 By Matching Biggest Common Factor Method

Greatest Common Factor of 648,142 By Matching Biggest Common Factor Method

Factors of 648

List of positive integer factors of 648 that divides 648 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648

Factors of 142

List of positive integer factors of 142 that divides 142 without a remainder.

1,2,71,142

Greatest Common Factor

We found the factors 648,142 . The biggest common factor number is the GCF number.
So the greatest common factor 648,142 is 2.


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 427/648, 3082/142

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 427/648, 3082/142?

Answer: LCM of Numerators as per given numbers 427/648, 3082/142 is

LCM of Numerators i.e. for 427,3082 is 1316014

GCF of denominators i.e. for 648,142 is 2.

Thus, LCM of Fractions is 658007.Finally, LCM of Fractions for 427/648, 3082/142 is 658007.