Least Common Multiple of 342/79, 3527/810

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 342/79, 3527/810 quickly i.e. 1206234 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 342/79, 3527/810 is 1206234.

LCM(342/79, 3527/810) = 1206234

LCM of 342/79, 3527/810

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 342/79,3527/810

Given numbers are 342/79,3527/810

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 342,3527

Least Common Multiple of Numerators i.e. LCM of 342,3527 is 1206234.

GCF of Denominators means GCF of 79,810 as per the given fractions.

GCF of 79,810 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 342,3527

LCM of Fractions 342/79,3527/810 is 1206234

Given numbers has no common factors except 1. So, there LCM is their product i.e 1206234

Least Common Multiple of 342,3527 with GCF Formula

Least Common Multiple of 342,3527 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 342,3527 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(342,3527) = 1

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

GCF(342,3527) x common factors =1 x 1 = 1

LCM(342,3527) = ( 342 × 3527 ) / 1

LCM(342,3527) = 1206234 / 1

LCM(342,3527) = 1206234


Lets's calculate GCF of 79,810

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1206234/1

Therefore the LCM of Fractions 342/79,3527/810 is 1206234

Greatest Common Factor of 79,810 By Matching Biggest Common Factor Method

Greatest Common Factor of 79,810 By Matching Biggest Common Factor Method

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 810

List of positive integer factors of 810 that divides 810 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810

Greatest Common Factor

We found the factors 79,810 . The biggest common factor number is the GCF number.
So the greatest common factor 79,810 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 342/79, 3527/810

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 342/79, 3527/810?

Answer: LCM of Numerators as per given numbers 342/79, 3527/810 is

LCM of Numerators i.e. for 342,3527 is 1206234

GCF of denominators i.e. for 79,810 is 1.

Thus, LCM of Fractions is 1206234.Finally, LCM of Fractions for 342/79, 3527/810 is 1206234.