Least Common Multiple of 97/418, 7688/9846

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 97/418, 7688/9846 quickly i.e. 372868 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 97/418, 7688/9846 is 372868.

LCM(97/418, 7688/9846) = 372868

LCM of 97/418, 7688/9846

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 97/418,7688/9846

Given numbers are 97/418,7688/9846

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 97,7688

Least Common Multiple of Numerators i.e. LCM of 97,7688 is 745736.

GCF of Denominators means GCF of 418,9846 as per the given fractions.

GCF of 418,9846 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 97,7688

LCM of Fractions 97/418,7688/9846 is 372868

Given numbers has no common factors except 1. So, there LCM is their product i.e 745736

Least Common Multiple of 97,7688 with GCF Formula

Least Common Multiple of 97,7688 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 97,7688 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,7688) = 1

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

GCF(97,7688) x common factors =1 x 1 = 1

LCM(97,7688) = ( 97 × 7688 ) / 1

LCM(97,7688) = 745736 / 1

LCM(97,7688) = 745736


Lets's calculate GCF of 418,9846

2 418, 9846
209, 4923

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 745736/2

Therefore the LCM of Fractions 97/418,7688/9846 is 372868

Greatest Common Factor of 418,9846 By Matching Biggest Common Factor Method

Greatest Common Factor of 418,9846 By Matching Biggest Common Factor Method

Factors of 418

List of positive integer factors of 418 that divides 418 without a remainder.

1,2,11,19,22,38,209,418

Factors of 9846

List of positive integer factors of 9846 that divides 9846 without a remainder.

1,2,3,6,9,18,547,1094,1641,3282,4923,9846

Greatest Common Factor

We found the factors 418,9846 . The biggest common factor number is the GCF number.
So the greatest common factor 418,9846 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 97/418, 7688/9846

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 97/418, 7688/9846?

Answer: LCM of Numerators as per given numbers 97/418, 7688/9846 is

LCM of Numerators i.e. for 97,7688 is 745736

GCF of denominators i.e. for 418,9846 is 2.

Thus, LCM of Fractions is 372868.Finally, LCM of Fractions for 97/418, 7688/9846 is 372868.