Least Common Multiple of 342/58, 205/8461

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 342/58, 205/8461 quickly i.e. 70110 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 342/58, 205/8461 is 70110.

LCM(342/58, 205/8461) = 70110

LCM of 342/58, 205/8461

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 342/58,205/8461

Given numbers are 342/58,205/8461

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 342,205

Least Common Multiple of Numerators i.e. LCM of 342,205 is 70110.

GCF of Denominators means GCF of 58,8461 as per the given fractions.

GCF of 58,8461 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 342,205

LCM of Fractions 342/58,205/8461 is 70110

Given numbers has no common factors except 1. So, there LCM is their product i.e 70110

Least Common Multiple of 342,205 with GCF Formula

Least Common Multiple of 342,205 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 342,205 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(342,205) = 1

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

GCF(342,205) x common factors =1 x 1 = 1

LCM(342,205) = ( 342 × 205 ) / 1

LCM(342,205) = 70110 / 1

LCM(342,205) = 70110


Lets's calculate GCF of 58,8461

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 70110/1

Therefore the LCM of Fractions 342/58,205/8461 is 70110

Greatest Common Factor of 58,8461 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,8461 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 8461

List of positive integer factors of 8461 that divides 8461 without a remainder.

1,8461

Greatest Common Factor

We found the factors 58,8461 . The biggest common factor number is the GCF number.
So the greatest common factor 58,8461 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 342/58, 205/8461

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 342/58, 205/8461?

Answer: LCM of Numerators as per given numbers 342/58, 205/8461 is

LCM of Numerators i.e. for 342,205 is 70110

GCF of denominators i.e. for 58,8461 is 1.

Thus, LCM of Fractions is 70110.Finally, LCM of Fractions for 342/58, 205/8461 is 70110.