Least Common Multiple of 25/709, 803/490, 275/500

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 25/709, 803/490, 275/500 quickly i.e. 20075 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 25/709, 803/490, 275/500 is 20075.

LCM(25/709, 803/490, 275/500) = 20075

LCM of 25/709, 803/490, 275/500

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 25/709,803/490,275/500

Given numbers are 25/709,803/490,275/500

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 25,803,275

Least Common Multiple of Numerators i.e. LCM of 25,803,275 is 20075.

GCF of Denominators means GCF of 709,490,500 as per the given fractions.

GCF of 709,490,500 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 25,803,275

LCM of Fractions 25/709,803/490,275/500 is 20075

5 25, 803, 275
5 5, 803, 55
11 1, 803, 11
1, 73, 1

∴ So the LCM of the given numbers is 5 x 5 x 11 x 1 x 73 x 1 = 20075

Least Common Multiple of 25,803,275 with GCF Formula

Least Common Multiple of 25,803,275 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 25,803,275 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,803,275) = 1

common factors(in case of two or more numbers have common factors) = 275

GCF(25,803,275) x common factors =1 x 275 = 275

LCM(25,803,275) = ( 25 × 803 × 275 ) / 275

LCM(25,803,275) = 5520625 / 275

LCM(25,803,275) = 20075


Lets's calculate GCF of 709,490,500

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20075/1

Therefore the LCM of Fractions 25/709,803/490,275/500 is 20075

Greatest Common Factor of 709,490,500 By Matching Biggest Common Factor Method

Greatest Common Factor of 709,490,500 By Matching Biggest Common Factor Method

Factors of 709

List of positive integer factors of 709 that divides 709 without a remainder.

1,709

Factors of 490

List of positive integer factors of 490 that divides 490 without a remainder.

1,2,5,7,10,14,35,49,70,98,245,490

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

Greatest Common Factor

We found the factors 709,490,500 . The biggest common factor number is the GCF number.
So the greatest common factor 709,490,500 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 25/709, 803/490, 275/500

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 25/709, 803/490, 275/500?

Answer: LCM of Numerators as per given numbers 25/709, 803/490, 275/500 is

LCM of Numerators i.e. for 25,803,275 is 20075

GCF of denominators i.e. for 709,490,500 is 1.

Thus, LCM of Fractions is 20075.Finally, LCM of Fractions for 25/709, 803/490, 275/500 is 20075.