Least Common Multiple of 998/13, 292/9700

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 998/13, 292/9700 quickly i.e. 145708 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 998/13, 292/9700 is 145708.

LCM(998/13, 292/9700) = 145708

LCM of 998/13, 292/9700

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 998/13,292/9700

Given numbers are 998/13,292/9700

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 998,292

Least Common Multiple of Numerators i.e. LCM of 998,292 is 145708.

GCF of Denominators means GCF of 13,9700 as per the given fractions.

GCF of 13,9700 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 998,292

LCM of Fractions 998/13,292/9700 is 145708

2 998, 292
499, 146

∴ So the LCM of the given numbers is 2 x 499 x 146 = 145708

Least Common Multiple of 998,292 with GCF Formula

Least Common Multiple of 998,292 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 998,292 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(998,292) = 2

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

GCF(998,292) x common factors =2 x 1 = 2

LCM(998,292) = ( 998 × 292 ) / 2

LCM(998,292) = 291416 / 2

LCM(998,292) = 145708


Lets's calculate GCF of 13,9700

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 145708/1

Therefore the LCM of Fractions 998/13,292/9700 is 145708

Greatest Common Factor of 13,9700 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,9700 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 9700

List of positive integer factors of 9700 that divides 9700 without a remainder.

1,2,4,5,10,20,25,50,97,100,194,388,485,970,1940,2425,4850,9700

Greatest Common Factor

We found the factors 13,9700 . The biggest common factor number is the GCF number.
So the greatest common factor 13,9700 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 998/13, 292/9700

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 998/13, 292/9700?

Answer: LCM of Numerators as per given numbers 998/13, 292/9700 is

LCM of Numerators i.e. for 998,292 is 145708

GCF of denominators i.e. for 13,9700 is 1.

Thus, LCM of Fractions is 145708.Finally, LCM of Fractions for 998/13, 292/9700 is 145708.