Least Common Multiple of 998/42, 103/3648

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 998/42, 103/3648 quickly i.e. 102794/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 998/42, 103/3648 is 102794/6.

LCM(998/42, 103/3648) = 102794/6

LCM of 998/42, 103/3648

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 998/42,103/3648

Given numbers are 998/42,103/3648

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 998,103

Least Common Multiple of Numerators i.e. LCM of 998,103 is 102794.

GCF of Denominators means GCF of 42,3648 as per the given fractions.

GCF of 42,3648 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 998,103

LCM of Fractions 998/42,103/3648 is 102794/6

Given numbers has no common factors except 1. So, there LCM is their product i.e 102794

Least Common Multiple of 998,103 with GCF Formula

Least Common Multiple of 998,103 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 998,103 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(998,103) = 1

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

GCF(998,103) x common factors =1 x 1 = 1

LCM(998,103) = ( 998 × 103 ) / 1

LCM(998,103) = 102794 / 1

LCM(998,103) = 102794


Lets's calculate GCF of 42,3648

2 42, 3648
3 21, 1824
7, 608

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 102794/6

Therefore the LCM of Fractions 998/42,103/3648 is 102794/6

Greatest Common Factor of 42,3648 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,3648 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 3648

List of positive integer factors of 3648 that divides 3648 without a remainder.

1,2,3,4,6,8,12,16,19,24,32,38,48,57,64,76,96,114,152,192,228,304,456,608,912,1216,1824,3648

Greatest Common Factor

We found the factors 42,3648 . The biggest common factor number is the GCF number.
So the greatest common factor 42,3648 is 6.


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 998/42, 103/3648

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 998/42, 103/3648?

Answer: LCM of Numerators as per given numbers 998/42, 103/3648 is

LCM of Numerators i.e. for 998,103 is 102794

GCF of denominators i.e. for 42,3648 is 6.

Thus, LCM of Fractions is 102794/6.Finally, LCM of Fractions for 998/42, 103/3648 is 102794/6.