Least Common Multiple of 987/28, 4832/104

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 987/28, 4832/104 quickly i.e. 1192296 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 987/28, 4832/104 is 1192296.

LCM(987/28, 4832/104) = 1192296

LCM of 987/28, 4832/104

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 987/28,4832/104

Given numbers are 987/28,4832/104

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 987,4832

Least Common Multiple of Numerators i.e. LCM of 987,4832 is 4769184.

GCF of Denominators means GCF of 28,104 as per the given fractions.

GCF of 28,104 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 987,4832

LCM of Fractions 987/28,4832/104 is 1192296

Given numbers has no common factors except 1. So, there LCM is their product i.e 4769184

Least Common Multiple of 987,4832 with GCF Formula

Least Common Multiple of 987,4832 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 987,4832 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(987,4832) = 1

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

GCF(987,4832) x common factors =1 x 1 = 1

LCM(987,4832) = ( 987 × 4832 ) / 1

LCM(987,4832) = 4769184 / 1

LCM(987,4832) = 4769184


Lets's calculate GCF of 28,104

2 28, 104
2 14, 52
7, 26

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4769184/4

Therefore the LCM of Fractions 987/28,4832/104 is 1192296

Greatest Common Factor of 28,104 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,104 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 104

List of positive integer factors of 104 that divides 104 without a remainder.

1,2,4,8,13,26,52,104

Greatest Common Factor

We found the factors 28,104 . The biggest common factor number is the GCF number.
So the greatest common factor 28,104 is 4.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 987/28, 4832/104

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 987/28, 4832/104?

Answer: LCM of Numerators as per given numbers 987/28, 4832/104 is

LCM of Numerators i.e. for 987,4832 is 4769184

GCF of denominators i.e. for 28,104 is 4.

Thus, LCM of Fractions is 1192296.Finally, LCM of Fractions for 987/28, 4832/104 is 1192296.