Least Common Multiple of 349/69, 793/2342

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 349/69, 793/2342 quickly i.e. 276757 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 349/69, 793/2342 is 276757.

LCM(349/69, 793/2342) = 276757

LCM of 349/69, 793/2342

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 349/69,793/2342

Given numbers are 349/69,793/2342

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 349,793

Least Common Multiple of Numerators i.e. LCM of 349,793 is 276757.

GCF of Denominators means GCF of 69,2342 as per the given fractions.

GCF of 69,2342 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 349,793

LCM of Fractions 349/69,793/2342 is 276757

Given numbers has no common factors except 1. So, there LCM is their product i.e 276757

Least Common Multiple of 349,793 with GCF Formula

Least Common Multiple of 349,793 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 349,793 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(349,793) = 1

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

GCF(349,793) x common factors =1 x 1 = 1

LCM(349,793) = ( 349 × 793 ) / 1

LCM(349,793) = 276757 / 1

LCM(349,793) = 276757


Lets's calculate GCF of 69,2342

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 276757/1

Therefore the LCM of Fractions 349/69,793/2342 is 276757

Greatest Common Factor of 69,2342 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,2342 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 2342

List of positive integer factors of 2342 that divides 2342 without a remainder.

1,2,1171,2342

Greatest Common Factor

We found the factors 69,2342 . The biggest common factor number is the GCF number.
So the greatest common factor 69,2342 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 349/69, 793/2342

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 349/69, 793/2342?

Answer: LCM of Numerators as per given numbers 349/69, 793/2342 is

LCM of Numerators i.e. for 349,793 is 276757

GCF of denominators i.e. for 69,2342 is 1.

Thus, LCM of Fractions is 276757.Finally, LCM of Fractions for 349/69, 793/2342 is 276757.