Least Common Multiple of 48/431, 925/344, 596/430

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/431, 925/344, 596/430 quickly i.e. 6615600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/431, 925/344, 596/430 is 6615600.

LCM(48/431, 925/344, 596/430) = 6615600

LCM of 48/431, 925/344, 596/430

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 48/431,925/344,596/430

Given numbers are 48/431,925/344,596/430

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 48,925,596

Least Common Multiple of Numerators i.e. LCM of 48,925,596 is 6615600.

GCF of Denominators means GCF of 431,344,430 as per the given fractions.

GCF of 431,344,430 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,925,596

LCM of Fractions 48/431,925/344,596/430 is 6615600

2 48, 925, 596
2 24, 925, 298
12, 925, 149

∴ So the LCM of the given numbers is 2 x 2 x 12 x 925 x 149 = 6615600

Least Common Multiple of 48,925,596 with GCF Formula

Least Common Multiple of 48,925,596 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 48,925,596 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,925,596) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(48,925,596) x common factors =1 x 4 = 4

LCM(48,925,596) = ( 48 × 925 × 596 ) / 4

LCM(48,925,596) = 26462400 / 4

LCM(48,925,596) = 6615600


Lets's calculate GCF of 431,344,430

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6615600/1

Therefore the LCM of Fractions 48/431,925/344,596/430 is 6615600

Greatest Common Factor of 431,344,430 By Matching Biggest Common Factor Method

Greatest Common Factor of 431,344,430 By Matching Biggest Common Factor Method

Factors of 431

List of positive integer factors of 431 that divides 431 without a remainder.

1,431

Factors of 344

List of positive integer factors of 344 that divides 344 without a remainder.

1,2,4,8,43,86,172,344

Factors of 430

List of positive integer factors of 430 that divides 430 without a remainder.

1,2,5,10,43,86,215,430

Greatest Common Factor

We found the factors 431,344,430 . The biggest common factor number is the GCF number.
So the greatest common factor 431,344,430 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 48/431, 925/344, 596/430

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 48/431, 925/344, 596/430?

Answer: LCM of Numerators as per given numbers 48/431, 925/344, 596/430 is

LCM of Numerators i.e. for 48,925,596 is 6615600

GCF of denominators i.e. for 431,344,430 is 1.

Thus, LCM of Fractions is 6615600.Finally, LCM of Fractions for 48/431, 925/344, 596/430 is 6615600.