Least Common Multiple of 130/340, 3354/235

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 130/340, 3354/235 quickly i.e. 3354 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 130/340, 3354/235 is 3354.

LCM(130/340, 3354/235) = 3354

LCM of 130/340, 3354/235

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 130/340,3354/235

Given numbers are 130/340,3354/235

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 130,3354

Least Common Multiple of Numerators i.e. LCM of 130,3354 is 16770.

GCF of Denominators means GCF of 340,235 as per the given fractions.

GCF of 340,235 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 130,3354

LCM of Fractions 130/340,3354/235 is 3354

2 130, 3354
13 65, 1677
5, 129

∴ So the LCM of the given numbers is 2 x 13 x 5 x 129 = 16770

Least Common Multiple of 130,3354 with GCF Formula

Least Common Multiple of 130,3354 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 130,3354 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(130,3354) = 26

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

GCF(130,3354) x common factors =26 x 1 = 26

LCM(130,3354) = ( 130 × 3354 ) / 26

LCM(130,3354) = 436020 / 26

LCM(130,3354) = 16770


Lets's calculate GCF of 340,235

5 340, 235
68, 47

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16770/5

Therefore the LCM of Fractions 130/340,3354/235 is 3354

Greatest Common Factor of 340,235 By Matching Biggest Common Factor Method

Greatest Common Factor of 340,235 By Matching Biggest Common Factor Method

Factors of 340

List of positive integer factors of 340 that divides 340 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,340

Factors of 235

List of positive integer factors of 235 that divides 235 without a remainder.

1,5,47,235

Greatest Common Factor

We found the factors 340,235 . The biggest common factor number is the GCF number.
So the greatest common factor 340,235 is 5.


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 130/340, 3354/235

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 130/340, 3354/235?

Answer: LCM of Numerators as per given numbers 130/340, 3354/235 is

LCM of Numerators i.e. for 130,3354 is 16770

GCF of denominators i.e. for 340,235 is 5.

Thus, LCM of Fractions is 3354.Finally, LCM of Fractions for 130/340, 3354/235 is 3354.