Least Common Multiple of 1998/364, 8784/848

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1998/364, 8784/848 quickly i.e. 243756 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1998/364, 8784/848 is 243756.

LCM(1998/364, 8784/848) = 243756

LCM of 1998/364, 8784/848

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 1998/364,8784/848

Given numbers are 1998/364,8784/848

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 1998,8784

Least Common Multiple of Numerators i.e. LCM of 1998,8784 is 975024.

GCF of Denominators means GCF of 364,848 as per the given fractions.

GCF of 364,848 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1998,8784

LCM of Fractions 1998/364,8784/848 is 243756

2 1998, 8784
3 999, 4392
3 333, 1464
111, 488

∴ So the LCM of the given numbers is 2 x 3 x 3 x 111 x 488 = 975024

Least Common Multiple of 1998,8784 with GCF Formula

Least Common Multiple of 1998,8784 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 1998,8784 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1998,8784) = 18

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

GCF(1998,8784) x common factors =18 x 1 = 18

LCM(1998,8784) = ( 1998 × 8784 ) / 18

LCM(1998,8784) = 17550432 / 18

LCM(1998,8784) = 975024


Lets's calculate GCF of 364,848

2 364, 848
2 182, 424
91, 212

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 975024/4

Therefore the LCM of Fractions 1998/364,8784/848 is 243756

Greatest Common Factor of 364,848 By Matching Biggest Common Factor Method

Greatest Common Factor of 364,848 By Matching Biggest Common Factor Method

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Factors of 848

List of positive integer factors of 848 that divides 848 without a remainder.

1,2,4,8,16,53,106,212,424,848

Greatest Common Factor

We found the factors 364,848 . The biggest common factor number is the GCF number.
So the greatest common factor 364,848 is 4.


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 1998/364, 8784/848

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 1998/364, 8784/848?

Answer: LCM of Numerators as per given numbers 1998/364, 8784/848 is

LCM of Numerators i.e. for 1998,8784 is 975024

GCF of denominators i.e. for 364,848 is 4.

Thus, LCM of Fractions is 243756.Finally, LCM of Fractions for 1998/364, 8784/848 is 243756.