Least Common Multiple of 590/72, 307/25, 105/298

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 590/72, 307/25, 105/298 quickly i.e. 3803730 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 590/72, 307/25, 105/298 is 3803730.

LCM(590/72, 307/25, 105/298) = 3803730

LCM of 590/72, 307/25, 105/298

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 590/72,307/25,105/298

Given numbers are 590/72,307/25,105/298

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 590,307,105

Least Common Multiple of Numerators i.e. LCM of 590,307,105 is 3803730.

GCF of Denominators means GCF of 72,25,298 as per the given fractions.

GCF of 72,25,298 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 590,307,105

LCM of Fractions 590/72,307/25,105/298 is 3803730

5 590, 307, 105
118, 307, 21

∴ So the LCM of the given numbers is 5 x 118 x 307 x 21 = 3803730

Least Common Multiple of 590,307,105 with GCF Formula

Least Common Multiple of 590,307,105 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 590,307,105 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(590,307,105) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(590,307,105) x common factors =1 x 5 = 5

LCM(590,307,105) = ( 590 × 307 × 105 ) / 5

LCM(590,307,105) = 19018650 / 5

LCM(590,307,105) = 3803730


Lets's calculate GCF of 72,25,298

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3803730/1

Therefore the LCM of Fractions 590/72,307/25,105/298 is 3803730

Greatest Common Factor of 72,25,298 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,25,298 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 25

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

1,5,25

Factors of 298

List of positive integer factors of 298 that divides 298 without a remainder.

1,2,149,298

Greatest Common Factor

We found the factors 72,25,298 . The biggest common factor number is the GCF number.
So the greatest common factor 72,25,298 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 590/72, 307/25, 105/298

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 590/72, 307/25, 105/298?

Answer: LCM of Numerators as per given numbers 590/72, 307/25, 105/298 is

LCM of Numerators i.e. for 590,307,105 is 3803730

GCF of denominators i.e. for 72,25,298 is 1.

Thus, LCM of Fractions is 3803730.Finally, LCM of Fractions for 590/72, 307/25, 105/298 is 3803730.