Least Common Multiple of 342/689, 899/841

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 342/689, 899/841 quickly i.e. 307458 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 342/689, 899/841 is 307458.

LCM(342/689, 899/841) = 307458

LCM of 342/689, 899/841

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 342/689,899/841

Given numbers are 342/689,899/841

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 342,899

Least Common Multiple of Numerators i.e. LCM of 342,899 is 307458.

GCF of Denominators means GCF of 689,841 as per the given fractions.

GCF of 689,841 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 342,899

LCM of Fractions 342/689,899/841 is 307458

Given numbers has no common factors except 1. So, there LCM is their product i.e 307458

Least Common Multiple of 342,899 with GCF Formula

Least Common Multiple of 342,899 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 342,899 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(342,899) = 1

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

GCF(342,899) x common factors =1 x 1 = 1

LCM(342,899) = ( 342 × 899 ) / 1

LCM(342,899) = 307458 / 1

LCM(342,899) = 307458


Lets's calculate GCF of 689,841

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 307458/1

Therefore the LCM of Fractions 342/689,899/841 is 307458

Greatest Common Factor of 689,841 By Matching Biggest Common Factor Method

Greatest Common Factor of 689,841 By Matching Biggest Common Factor Method

Factors of 689

List of positive integer factors of 689 that divides 689 without a remainder.

1,13,53,689

Factors of 841

List of positive integer factors of 841 that divides 841 without a remainder.

1,29,841

Greatest Common Factor

We found the factors 689,841 . The biggest common factor number is the GCF number.
So the greatest common factor 689,841 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 342/689, 899/841

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 342/689, 899/841?

Answer: LCM of Numerators as per given numbers 342/689, 899/841 is

LCM of Numerators i.e. for 342,899 is 307458

GCF of denominators i.e. for 689,841 is 1.

Thus, LCM of Fractions is 307458.Finally, LCM of Fractions for 342/689, 899/841 is 307458.