Least Common Multiple of 596/93, 346/7421

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 596/93, 346/7421 quickly i.e. 103108 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 596/93, 346/7421 is 103108.

LCM(596/93, 346/7421) = 103108

LCM of 596/93, 346/7421

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 596/93,346/7421

Given numbers are 596/93,346/7421

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 596,346

Least Common Multiple of Numerators i.e. LCM of 596,346 is 103108.

GCF of Denominators means GCF of 93,7421 as per the given fractions.

GCF of 93,7421 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 596,346

LCM of Fractions 596/93,346/7421 is 103108

2 596, 346
298, 173

∴ So the LCM of the given numbers is 2 x 298 x 173 = 103108

Least Common Multiple of 596,346 with GCF Formula

Least Common Multiple of 596,346 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 596,346 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(596,346) = 2

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

GCF(596,346) x common factors =2 x 1 = 2

LCM(596,346) = ( 596 × 346 ) / 2

LCM(596,346) = 206216 / 2

LCM(596,346) = 103108


Lets's calculate GCF of 93,7421

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 103108/1

Therefore the LCM of Fractions 596/93,346/7421 is 103108

Greatest Common Factor of 93,7421 By Matching Biggest Common Factor Method

Greatest Common Factor of 93,7421 By Matching Biggest Common Factor Method

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 7421

List of positive integer factors of 7421 that divides 7421 without a remainder.

1,41,181,7421

Greatest Common Factor

We found the factors 93,7421 . The biggest common factor number is the GCF number.
So the greatest common factor 93,7421 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 596/93, 346/7421

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 596/93, 346/7421?

Answer: LCM of Numerators as per given numbers 596/93, 346/7421 is

LCM of Numerators i.e. for 596,346 is 103108

GCF of denominators i.e. for 93,7421 is 1.

Thus, LCM of Fractions is 103108.Finally, LCM of Fractions for 596/93, 346/7421 is 103108.