Least Common Multiple of 355/998, 9625/6912

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 355/998, 9625/6912 quickly i.e. 683375/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 355/998, 9625/6912 is 683375/2.

LCM(355/998, 9625/6912) = 683375/2

LCM of 355/998, 9625/6912

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 355/998,9625/6912

Given numbers are 355/998,9625/6912

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 355,9625

Least Common Multiple of Numerators i.e. LCM of 355,9625 is 683375.

GCF of Denominators means GCF of 998,6912 as per the given fractions.

GCF of 998,6912 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 355,9625

LCM of Fractions 355/998,9625/6912 is 683375/2

5 355, 9625
71, 1925

∴ So the LCM of the given numbers is 5 x 71 x 1925 = 683375

Least Common Multiple of 355,9625 with GCF Formula

Least Common Multiple of 355,9625 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 355,9625 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(355,9625) = 5

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

GCF(355,9625) x common factors =5 x 1 = 5

LCM(355,9625) = ( 355 × 9625 ) / 5

LCM(355,9625) = 3416875 / 5

LCM(355,9625) = 683375


Lets's calculate GCF of 998,6912

2 998, 6912
499, 3456

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 683375/2

Therefore the LCM of Fractions 355/998,9625/6912 is 683375/2

Greatest Common Factor of 998,6912 By Matching Biggest Common Factor Method

Greatest Common Factor of 998,6912 By Matching Biggest Common Factor Method

Factors of 998

List of positive integer factors of 998 that divides 998 without a remainder.

1,2,499,998

Factors of 6912

List of positive integer factors of 6912 that divides 6912 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,64,72,96,108,128,144,192,216,256,288,384,432,576,768,864,1152,1728,2304,3456,6912

Greatest Common Factor

We found the factors 998,6912 . The biggest common factor number is the GCF number.
So the greatest common factor 998,6912 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 355/998, 9625/6912

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 355/998, 9625/6912?

Answer: LCM of Numerators as per given numbers 355/998, 9625/6912 is

LCM of Numerators i.e. for 355,9625 is 683375

GCF of denominators i.e. for 998,6912 is 2.

Thus, LCM of Fractions is 683375/2.Finally, LCM of Fractions for 355/998, 9625/6912 is 683375/2.