Least Common Multiple of 130/24, 258/61, 402/200

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 130/24, 258/61, 402/200 quickly i.e. 1123590 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 130/24, 258/61, 402/200 is 1123590.

LCM(130/24, 258/61, 402/200) = 1123590

LCM of 130/24, 258/61, 402/200

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 130/24,258/61,402/200

Given numbers are 130/24,258/61,402/200

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 130,258,402

Least Common Multiple of Numerators i.e. LCM of 130,258,402 is 1123590.

GCF of Denominators means GCF of 24,61,200 as per the given fractions.

GCF of 24,61,200 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 130,258,402

LCM of Fractions 130/24,258/61,402/200 is 1123590

2 130, 258, 402
3 65, 129, 201
65, 43, 67

∴ So the LCM of the given numbers is 2 x 3 x 65 x 43 x 67 = 1123590

Least Common Multiple of 130,258,402 with GCF Formula

Least Common Multiple of 130,258,402 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 130,258,402 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(130,258,402) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(130,258,402) x common factors =2 x 6 = 12

LCM(130,258,402) = ( 130 × 258 × 402 ) / 12

LCM(130,258,402) = 13483080 / 12

LCM(130,258,402) = 1123590


Lets's calculate GCF of 24,61,200

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1123590/1

Therefore the LCM of Fractions 130/24,258/61,402/200 is 1123590

Greatest Common Factor of 24,61,200 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,61,200 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 200

List of positive integer factors of 200 that divides 200 without a remainder.

1,2,4,5,8,10,20,25,40,50,100,200

Greatest Common Factor

We found the factors 24,61,200 . The biggest common factor number is the GCF number.
So the greatest common factor 24,61,200 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 130/24, 258/61, 402/200

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 130/24, 258/61, 402/200?

Answer: LCM of Numerators as per given numbers 130/24, 258/61, 402/200 is

LCM of Numerators i.e. for 130,258,402 is 1123590

GCF of denominators i.e. for 24,61,200 is 1.

Thus, LCM of Fractions is 1123590.Finally, LCM of Fractions for 130/24, 258/61, 402/200 is 1123590.