Least Common Multiple of 25/350, 958/160, 296/590

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 25/350, 958/160, 296/590 quickly i.e. 354460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 25/350, 958/160, 296/590 is 354460.

LCM(25/350, 958/160, 296/590) = 354460

LCM of 25/350, 958/160, 296/590

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 25/350,958/160,296/590

Given numbers are 25/350,958/160,296/590

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 25,958,296

Least Common Multiple of Numerators i.e. LCM of 25,958,296 is 3544600.

GCF of Denominators means GCF of 350,160,590 as per the given fractions.

GCF of 350,160,590 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 25,958,296

LCM of Fractions 25/350,958/160,296/590 is 354460

2 25, 958, 296
25, 479, 148

∴ So the LCM of the given numbers is 2 x 25 x 479 x 148 = 3544600

Least Common Multiple of 25,958,296 with GCF Formula

Least Common Multiple of 25,958,296 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 25,958,296 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,958,296) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(25,958,296) x common factors =1 x 2 = 2

LCM(25,958,296) = ( 25 × 958 × 296 ) / 2

LCM(25,958,296) = 7089200 / 2

LCM(25,958,296) = 3544600


Lets's calculate GCF of 350,160,590

2 350, 160, 590
5 175, 80, 295
35, 16, 59

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3544600/10

Therefore the LCM of Fractions 25/350,958/160,296/590 is 354460

Greatest Common Factor of 350,160,590 By Matching Biggest Common Factor Method

Greatest Common Factor of 350,160,590 By Matching Biggest Common Factor Method

Factors of 350

List of positive integer factors of 350 that divides 350 without a remainder.

1,2,5,7,10,14,25,35,50,70,175,350

Factors of 160

List of positive integer factors of 160 that divides 160 without a remainder.

1,2,4,5,8,10,16,20,32,40,80,160

Factors of 590

List of positive integer factors of 590 that divides 590 without a remainder.

1,2,5,10,59,118,295,590

Greatest Common Factor

We found the factors 350,160,590 . The biggest common factor number is the GCF number.
So the greatest common factor 350,160,590 is 10.


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 25/350, 958/160, 296/590

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 25/350, 958/160, 296/590?

Answer: LCM of Numerators as per given numbers 25/350, 958/160, 296/590 is

LCM of Numerators i.e. for 25,958,296 is 3544600

GCF of denominators i.e. for 350,160,590 is 10.

Thus, LCM of Fractions is 354460.Finally, LCM of Fractions for 25/350, 958/160, 296/590 is 354460.