Least Common Multiple of 648/998, 9404/8562

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 648/998, 9404/8562 quickly i.e. 761724 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 648/998, 9404/8562 is 761724.

LCM(648/998, 9404/8562) = 761724

LCM of 648/998, 9404/8562

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 648/998,9404/8562

Given numbers are 648/998,9404/8562

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 648,9404

Least Common Multiple of Numerators i.e. LCM of 648,9404 is 1523448.

GCF of Denominators means GCF of 998,8562 as per the given fractions.

GCF of 998,8562 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 648,9404

LCM of Fractions 648/998,9404/8562 is 761724

2 648, 9404
2 324, 4702
162, 2351

∴ So the LCM of the given numbers is 2 x 2 x 162 x 2351 = 1523448

Least Common Multiple of 648,9404 with GCF Formula

Least Common Multiple of 648,9404 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 648,9404 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(648,9404) = 4

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

GCF(648,9404) x common factors =4 x 1 = 4

LCM(648,9404) = ( 648 × 9404 ) / 4

LCM(648,9404) = 6093792 / 4

LCM(648,9404) = 1523448


Lets's calculate GCF of 998,8562

2 998, 8562
499, 4281

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1523448/2

Therefore the LCM of Fractions 648/998,9404/8562 is 761724

Greatest Common Factor of 998,8562 By Matching Biggest Common Factor Method

Greatest Common Factor of 998,8562 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 8562

List of positive integer factors of 8562 that divides 8562 without a remainder.

1,2,3,6,1427,2854,4281,8562

Greatest Common Factor

We found the factors 998,8562 . The biggest common factor number is the GCF number.
So the greatest common factor 998,8562 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 648/998, 9404/8562

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 648/998, 9404/8562?

Answer: LCM of Numerators as per given numbers 648/998, 9404/8562 is

LCM of Numerators i.e. for 648,9404 is 1523448

GCF of denominators i.e. for 998,8562 is 2.

Thus, LCM of Fractions is 761724.Finally, LCM of Fractions for 648/998, 9404/8562 is 761724.