Least Common Multiple of 3101/250, 5236/225

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3101/250, 5236/225 quickly i.e. 2319548/25 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3101/250, 5236/225 is 2319548/25.

LCM(3101/250, 5236/225) = 2319548/25

LCM of 3101/250, 5236/225

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 3101/250,5236/225

Given numbers are 3101/250,5236/225

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 3101,5236

Least Common Multiple of Numerators i.e. LCM of 3101,5236 is 2319548.

GCF of Denominators means GCF of 250,225 as per the given fractions.

GCF of 250,225 is 25 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3101,5236

LCM of Fractions 3101/250,5236/225 is 2319548/25

7 3101, 5236
443, 748

∴ So the LCM of the given numbers is 7 x 443 x 748 = 2319548

Least Common Multiple of 3101,5236 with GCF Formula

Least Common Multiple of 3101,5236 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 3101,5236 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3101,5236) = 7

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

GCF(3101,5236) x common factors =7 x 1 = 7

LCM(3101,5236) = ( 3101 × 5236 ) / 7

LCM(3101,5236) = 16236836 / 7

LCM(3101,5236) = 2319548


Lets's calculate GCF of 250,225

5 250, 225
5 50, 45
10, 9

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2319548/25

Therefore the LCM of Fractions 3101/250,5236/225 is 2319548/25

Greatest Common Factor of 250,225 By Matching Biggest Common Factor Method

Greatest Common Factor of 250,225 By Matching Biggest Common Factor Method

Factors of 250

List of positive integer factors of 250 that divides 250 without a remainder.

1,2,5,10,25,50,125,250

Factors of 225

List of positive integer factors of 225 that divides 225 without a remainder.

1,3,5,9,15,25,45,75,225

Greatest Common Factor

We found the factors 250,225 . The biggest common factor number is the GCF number.
So the greatest common factor 250,225 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 3101/250, 5236/225

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 3101/250, 5236/225?

Answer: LCM of Numerators as per given numbers 3101/250, 5236/225 is

LCM of Numerators i.e. for 3101,5236 is 2319548

GCF of denominators i.e. for 250,225 is 25.

Thus, LCM of Fractions is 2319548/25.Finally, LCM of Fractions for 3101/250, 5236/225 is 2319548/25.