Least Common Multiple of 235/460, 130/130

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 235/460, 130/130 quickly i.e. 611 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 235/460, 130/130 is 611.

LCM(235/460, 130/130) = 611

LCM of 235/460, 130/130

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 235/460,130/130

Given numbers are 235/460,130/130

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 235,130

Least Common Multiple of Numerators i.e. LCM of 235,130 is 6110.

GCF of Denominators means GCF of 460,130 as per the given fractions.

GCF of 460,130 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 235,130

LCM of Fractions 235/460,130/130 is 611

5 235, 130
47, 26

∴ So the LCM of the given numbers is 5 x 47 x 26 = 6110

Least Common Multiple of 235,130 with GCF Formula

Least Common Multiple of 235,130 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 235,130 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(235,130) = 5

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

GCF(235,130) x common factors =5 x 1 = 5

LCM(235,130) = ( 235 × 130 ) / 5

LCM(235,130) = 30550 / 5

LCM(235,130) = 6110


Lets's calculate GCF of 460,130

2 460, 130
5 230, 65
46, 13

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6110/10

Therefore the LCM of Fractions 235/460,130/130 is 611

Greatest Common Factor of 460,130 By Matching Biggest Common Factor Method

Greatest Common Factor of 460,130 By Matching Biggest Common Factor Method

Factors of 460

List of positive integer factors of 460 that divides 460 without a remainder.

1,2,4,5,10,20,23,46,92,115,230,460

Factors of 130

List of positive integer factors of 130 that divides 130 without a remainder.

1,2,5,10,13,26,65,130

Greatest Common Factor

We found the factors 460,130 . The biggest common factor number is the GCF number.
So the greatest common factor 460,130 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 235/460, 130/130

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 235/460, 130/130?

Answer: LCM of Numerators as per given numbers 235/460, 130/130 is

LCM of Numerators i.e. for 235,130 is 6110

GCF of denominators i.e. for 460,130 is 10.

Thus, LCM of Fractions is 611.Finally, LCM of Fractions for 235/460, 130/130 is 611.