Least Common Multiple of 683/957, 5974/9198

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 683/957, 5974/9198 quickly i.e. 4080242/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 683/957, 5974/9198 is 4080242/3.

LCM(683/957, 5974/9198) = 4080242/3

LCM of 683/957, 5974/9198

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 683/957,5974/9198

Given numbers are 683/957,5974/9198

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 683,5974

Least Common Multiple of Numerators i.e. LCM of 683,5974 is 4080242.

GCF of Denominators means GCF of 957,9198 as per the given fractions.

GCF of 957,9198 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 683,5974

LCM of Fractions 683/957,5974/9198 is 4080242/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 4080242

Least Common Multiple of 683,5974 with GCF Formula

Least Common Multiple of 683,5974 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 683,5974 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(683,5974) = 1

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

GCF(683,5974) x common factors =1 x 1 = 1

LCM(683,5974) = ( 683 × 5974 ) / 1

LCM(683,5974) = 4080242 / 1

LCM(683,5974) = 4080242


Lets's calculate GCF of 957,9198

3 957, 9198
319, 3066

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4080242/3

Therefore the LCM of Fractions 683/957,5974/9198 is 4080242/3

Greatest Common Factor of 957,9198 By Matching Biggest Common Factor Method

Greatest Common Factor of 957,9198 By Matching Biggest Common Factor Method

Factors of 957

List of positive integer factors of 957 that divides 957 without a remainder.

1,3,11,29,33,87,319,957

Factors of 9198

List of positive integer factors of 9198 that divides 9198 without a remainder.

1,2,3,6,7,9,14,18,21,42,63,73,126,146,219,438,511,657,1022,1314,1533,3066,4599,9198

Greatest Common Factor

We found the factors 957,9198 . The biggest common factor number is the GCF number.
So the greatest common factor 957,9198 is 3.


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 683/957, 5974/9198

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 683/957, 5974/9198?

Answer: LCM of Numerators as per given numbers 683/957, 5974/9198 is

LCM of Numerators i.e. for 683,5974 is 4080242

GCF of denominators i.e. for 957,9198 is 3.

Thus, LCM of Fractions is 4080242/3.Finally, LCM of Fractions for 683/957, 5974/9198 is 4080242/3.