Least Common Multiple of 257/34, 503/2500

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 257/34, 503/2500 quickly i.e. 129271/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 257/34, 503/2500 is 129271/2.

LCM(257/34, 503/2500) = 129271/2

LCM of 257/34, 503/2500

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 257/34,503/2500

Given numbers are 257/34,503/2500

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 257,503

Least Common Multiple of Numerators i.e. LCM of 257,503 is 129271.

GCF of Denominators means GCF of 34,2500 as per the given fractions.

GCF of 34,2500 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 257,503

LCM of Fractions 257/34,503/2500 is 129271/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 129271

Least Common Multiple of 257,503 with GCF Formula

Least Common Multiple of 257,503 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 257,503 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(257,503) = 1

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

GCF(257,503) x common factors =1 x 1 = 1

LCM(257,503) = ( 257 × 503 ) / 1

LCM(257,503) = 129271 / 1

LCM(257,503) = 129271


Lets's calculate GCF of 34,2500

2 34, 2500
17, 1250

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 129271/2

Therefore the LCM of Fractions 257/34,503/2500 is 129271/2

Greatest Common Factor of 34,2500 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,2500 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 2500

List of positive integer factors of 2500 that divides 2500 without a remainder.

1,2,4,5,10,20,25,50,100,125,250,500,625,1250,2500

Greatest Common Factor

We found the factors 34,2500 . The biggest common factor number is the GCF number.
So the greatest common factor 34,2500 is 2.


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 257/34, 503/2500

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 257/34, 503/2500?

Answer: LCM of Numerators as per given numbers 257/34, 503/2500 is

LCM of Numerators i.e. for 257,503 is 129271

GCF of denominators i.e. for 34,2500 is 2.

Thus, LCM of Fractions is 129271/2.Finally, LCM of Fractions for 257/34, 503/2500 is 129271/2.