Least Common Multiple of 1293/998, 8445/8577

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1293/998, 8445/8577 quickly i.e. 3639795 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1293/998, 8445/8577 is 3639795.

LCM(1293/998, 8445/8577) = 3639795

LCM of 1293/998, 8445/8577

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 1293/998,8445/8577

Given numbers are 1293/998,8445/8577

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 1293,8445

Least Common Multiple of Numerators i.e. LCM of 1293,8445 is 3639795.

GCF of Denominators means GCF of 998,8577 as per the given fractions.

GCF of 998,8577 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1293,8445

LCM of Fractions 1293/998,8445/8577 is 3639795

3 1293, 8445
431, 2815

∴ So the LCM of the given numbers is 3 x 431 x 2815 = 3639795

Least Common Multiple of 1293,8445 with GCF Formula

Least Common Multiple of 1293,8445 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 1293,8445 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1293,8445) = 3

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

GCF(1293,8445) x common factors =3 x 1 = 3

LCM(1293,8445) = ( 1293 × 8445 ) / 3

LCM(1293,8445) = 10919385 / 3

LCM(1293,8445) = 3639795


Lets's calculate GCF of 998,8577

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3639795/1

Therefore the LCM of Fractions 1293/998,8445/8577 is 3639795

Greatest Common Factor of 998,8577 By Matching Biggest Common Factor Method

Greatest Common Factor of 998,8577 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 8577

List of positive integer factors of 8577 that divides 8577 without a remainder.

1,3,9,953,2859,8577

Greatest Common Factor

We found the factors 998,8577 . The biggest common factor number is the GCF number.
So the greatest common factor 998,8577 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 1293/998, 8445/8577

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 1293/998, 8445/8577?

Answer: LCM of Numerators as per given numbers 1293/998, 8445/8577 is

LCM of Numerators i.e. for 1293,8445 is 3639795

GCF of denominators i.e. for 998,8577 is 1.

Thus, LCM of Fractions is 3639795.Finally, LCM of Fractions for 1293/998, 8445/8577 is 3639795.