Least Common Multiple of 7114/346, 9697/902

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7114/346, 9697/902 quickly i.e. 34492229 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7114/346, 9697/902 is 34492229.

LCM(7114/346, 9697/902) = 34492229

LCM of 7114/346, 9697/902

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 7114/346,9697/902

Given numbers are 7114/346,9697/902

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 7114,9697

Least Common Multiple of Numerators i.e. LCM of 7114,9697 is 68984458.

GCF of Denominators means GCF of 346,902 as per the given fractions.

GCF of 346,902 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7114,9697

LCM of Fractions 7114/346,9697/902 is 34492229

Given numbers has no common factors except 1. So, there LCM is their product i.e 68984458

Least Common Multiple of 7114,9697 with GCF Formula

Least Common Multiple of 7114,9697 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 7114,9697 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7114,9697) = 1

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

GCF(7114,9697) x common factors =1 x 1 = 1

LCM(7114,9697) = ( 7114 × 9697 ) / 1

LCM(7114,9697) = 68984458 / 1

LCM(7114,9697) = 68984458


Lets's calculate GCF of 346,902

2 346, 902
173, 451

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 68984458/2

Therefore the LCM of Fractions 7114/346,9697/902 is 34492229

Greatest Common Factor of 346,902 By Matching Biggest Common Factor Method

Greatest Common Factor of 346,902 By Matching Biggest Common Factor Method

Factors of 346

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

1,2,173,346

Factors of 902

List of positive integer factors of 902 that divides 902 without a remainder.

1,2,11,22,41,82,451,902

Greatest Common Factor

We found the factors 346,902 . The biggest common factor number is the GCF number.
So the greatest common factor 346,902 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 7114/346, 9697/902

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 7114/346, 9697/902?

Answer: LCM of Numerators as per given numbers 7114/346, 9697/902 is

LCM of Numerators i.e. for 7114,9697 is 68984458

GCF of denominators i.e. for 346,902 is 2.

Thus, LCM of Fractions is 34492229.Finally, LCM of Fractions for 7114/346, 9697/902 is 34492229.