Least Common Multiple of 423/98, 348/25, 131/579

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 423/98, 348/25, 131/579 quickly i.e. 6427908 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 423/98, 348/25, 131/579 is 6427908.

LCM(423/98, 348/25, 131/579) = 6427908

LCM of 423/98, 348/25, 131/579

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 423/98,348/25,131/579

Given numbers are 423/98,348/25,131/579

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 423,348,131

Least Common Multiple of Numerators i.e. LCM of 423,348,131 is 6427908.

GCF of Denominators means GCF of 98,25,579 as per the given fractions.

GCF of 98,25,579 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 423,348,131

LCM of Fractions 423/98,348/25,131/579 is 6427908

3 423, 348, 131
141, 116, 131

∴ So the LCM of the given numbers is 3 x 141 x 116 x 131 = 6427908

Least Common Multiple of 423,348,131 with GCF Formula

Least Common Multiple of 423,348,131 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 423,348,131 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(423,348,131) = 1

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

GCF(423,348,131) x common factors =1 x 3 = 3

LCM(423,348,131) = ( 423 × 348 × 131 ) / 3

LCM(423,348,131) = 19283724 / 3

LCM(423,348,131) = 6427908


Lets's calculate GCF of 98,25,579

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6427908/1

Therefore the LCM of Fractions 423/98,348/25,131/579 is 6427908

Greatest Common Factor of 98,25,579 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,25,579 By Matching Biggest Common Factor Method

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 579

List of positive integer factors of 579 that divides 579 without a remainder.

1,3,193,579

Greatest Common Factor

We found the factors 98,25,579 . The biggest common factor number is the GCF number.
So the greatest common factor 98,25,579 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 423/98, 348/25, 131/579

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 423/98, 348/25, 131/579?

Answer: LCM of Numerators as per given numbers 423/98, 348/25, 131/579 is

LCM of Numerators i.e. for 423,348,131 is 6427908

GCF of denominators i.e. for 98,25,579 is 1.

Thus, LCM of Fractions is 6427908.Finally, LCM of Fractions for 423/98, 348/25, 131/579 is 6427908.