Least Common Multiple of 265/100, 5101/590

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 265/100, 5101/590 quickly i.e. 1351765/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 265/100, 5101/590 is 1351765/10.

LCM(265/100, 5101/590) = 1351765/10

LCM of 265/100, 5101/590

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 265/100,5101/590

Given numbers are 265/100,5101/590

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 265,5101

Least Common Multiple of Numerators i.e. LCM of 265,5101 is 1351765.

GCF of Denominators means GCF of 100,590 as per the given fractions.

GCF of 100,590 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 265,5101

LCM of Fractions 265/100,5101/590 is 1351765/10

Given numbers has no common factors except 1. So, there LCM is their product i.e 1351765

Least Common Multiple of 265,5101 with GCF Formula

Least Common Multiple of 265,5101 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 265,5101 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(265,5101) = 1

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

GCF(265,5101) x common factors =1 x 1 = 1

LCM(265,5101) = ( 265 × 5101 ) / 1

LCM(265,5101) = 1351765 / 1

LCM(265,5101) = 1351765


Lets's calculate GCF of 100,590

2 100, 590
5 50, 295
10, 59

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1351765/10

Therefore the LCM of Fractions 265/100,5101/590 is 1351765/10

Greatest Common Factor of 100,590 By Matching Biggest Common Factor Method

Greatest Common Factor of 100,590 By Matching Biggest Common Factor Method

Factors of 100

List of positive integer factors of 100 that divides 100 without a remainder.

1,2,4,5,10,20,25,50,100

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 100,590 . The biggest common factor number is the GCF number.
So the greatest common factor 100,590 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 265/100, 5101/590

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 265/100, 5101/590?

Answer: LCM of Numerators as per given numbers 265/100, 5101/590 is

LCM of Numerators i.e. for 265,5101 is 1351765

GCF of denominators i.e. for 100,590 is 10.

Thus, LCM of Fractions is 1351765/10.Finally, LCM of Fractions for 265/100, 5101/590 is 1351765/10.