Least Common Multiple of 421/725, 674/500, 655/950

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 421/725, 674/500, 655/950 quickly i.e. 185858870/25 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 421/725, 674/500, 655/950 is 185858870/25.

LCM(421/725, 674/500, 655/950) = 185858870/25

LCM of 421/725, 674/500, 655/950

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 421/725,674/500,655/950

Given numbers are 421/725,674/500,655/950

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 421,674,655

Least Common Multiple of Numerators i.e. LCM of 421,674,655 is 185858870.

GCF of Denominators means GCF of 725,500,950 as per the given fractions.

GCF of 725,500,950 is 25 as it is the largest common factor for these numbers.

Lets's calculate LCM of 421,674,655

LCM of Fractions 421/725,674/500,655/950 is 185858870/25

Given numbers has no common factors except 1. So, there LCM is their product i.e 185858870

Least Common Multiple of 421,674,655 with GCF Formula

Least Common Multiple of 421,674,655 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 421,674,655 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(421,674,655) = 1

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

GCF(421,674,655) x common factors =1 x 1 = 1

LCM(421,674,655) = ( 421 × 674 × 655 ) / 1

LCM(421,674,655) = 185858870 / 1

LCM(421,674,655) = 185858870


Lets's calculate GCF of 725,500,950

5 725, 500, 950
5 145, 100, 190
29, 20, 38

∴ So the GCF of the given numbers is 5 x 5 = 25

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 185858870/25

Therefore the LCM of Fractions 421/725,674/500,655/950 is 185858870/25

Greatest Common Factor of 725,500,950 By Matching Biggest Common Factor Method

Greatest Common Factor of 725,500,950 By Matching Biggest Common Factor Method

Factors of 725

List of positive integer factors of 725 that divides 725 without a remainder.

1,5,25,29,145,725

Factors of 500

List of positive integer factors of 500 that divides 500 without a remainder.

1,2,4,5,10,20,25,50,100,125,250,500

Factors of 950

List of positive integer factors of 950 that divides 950 without a remainder.

1,2,5,10,19,25,38,50,95,190,475,950

Greatest Common Factor

We found the factors 725,500,950 . The biggest common factor number is the GCF number.
So the greatest common factor 725,500,950 is 25.


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 421/725, 674/500, 655/950

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 421/725, 674/500, 655/950?

Answer: LCM of Numerators as per given numbers 421/725, 674/500, 655/950 is

LCM of Numerators i.e. for 421,674,655 is 185858870

GCF of denominators i.e. for 725,500,950 is 25.

Thus, LCM of Fractions is 185858870/25.Finally, LCM of Fractions for 421/725, 674/500, 655/950 is 185858870/25.