Least Common Multiple of 734/602, 8343/346

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 734/602, 8343/346 quickly i.e. 3061881 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 734/602, 8343/346 is 3061881.

LCM(734/602, 8343/346) = 3061881

LCM of 734/602, 8343/346

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 734/602,8343/346

Given numbers are 734/602,8343/346

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 734,8343

Least Common Multiple of Numerators i.e. LCM of 734,8343 is 6123762.

GCF of Denominators means GCF of 602,346 as per the given fractions.

GCF of 602,346 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 734,8343

LCM of Fractions 734/602,8343/346 is 3061881

Given numbers has no common factors except 1. So, there LCM is their product i.e 6123762

Least Common Multiple of 734,8343 with GCF Formula

Least Common Multiple of 734,8343 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 734,8343 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(734,8343) = 1

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

GCF(734,8343) x common factors =1 x 1 = 1

LCM(734,8343) = ( 734 × 8343 ) / 1

LCM(734,8343) = 6123762 / 1

LCM(734,8343) = 6123762


Lets's calculate GCF of 602,346

2 602, 346
301, 173

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6123762/2

Therefore the LCM of Fractions 734/602,8343/346 is 3061881

Greatest Common Factor of 602,346 By Matching Biggest Common Factor Method

Greatest Common Factor of 602,346 By Matching Biggest Common Factor Method

Factors of 602

List of positive integer factors of 602 that divides 602 without a remainder.

1,2,7,14,43,86,301,602

Factors of 346

List of positive integer factors of 346 that divides 346 without a remainder.

1,2,173,346

Greatest Common Factor

We found the factors 602,346 . The biggest common factor number is the GCF number.
So the greatest common factor 602,346 is 2.


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 734/602, 8343/346

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 734/602, 8343/346?

Answer: LCM of Numerators as per given numbers 734/602, 8343/346 is

LCM of Numerators i.e. for 734,8343 is 6123762

GCF of denominators i.e. for 602,346 is 2.

Thus, LCM of Fractions is 3061881.Finally, LCM of Fractions for 734/602, 8343/346 is 3061881.