Least Common Multiple of 984/36, 257/45, 363/627

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 984/36, 257/45, 363/627 quickly i.e. 10199816 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 984/36, 257/45, 363/627 is 10199816.

LCM(984/36, 257/45, 363/627) = 10199816

LCM of 984/36, 257/45, 363/627

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 984/36,257/45,363/627

Given numbers are 984/36,257/45,363/627

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 984,257,363

Least Common Multiple of Numerators i.e. LCM of 984,257,363 is 30599448.

GCF of Denominators means GCF of 36,45,627 as per the given fractions.

GCF of 36,45,627 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 984,257,363

LCM of Fractions 984/36,257/45,363/627 is 10199816

3 984, 257, 363
328, 257, 121

∴ So the LCM of the given numbers is 3 x 328 x 257 x 121 = 30599448

Least Common Multiple of 984,257,363 with GCF Formula

Least Common Multiple of 984,257,363 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 984,257,363 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(984,257,363) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(984,257,363) x common factors =1 x 3 = 3

LCM(984,257,363) = ( 984 × 257 × 363 ) / 3

LCM(984,257,363) = 91798344 / 3

LCM(984,257,363) = 30599448


Lets's calculate GCF of 36,45,627

3 36, 45, 627
12, 15, 209

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30599448/3

Therefore the LCM of Fractions 984/36,257/45,363/627 is 10199816

Greatest Common Factor of 36,45,627 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,45,627 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 627

List of positive integer factors of 627 that divides 627 without a remainder.

1,3,11,19,33,57,209,627

Greatest Common Factor

We found the factors 36,45,627 . The biggest common factor number is the GCF number.
So the greatest common factor 36,45,627 is 3.


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 984/36, 257/45, 363/627

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 984/36, 257/45, 363/627?

Answer: LCM of Numerators as per given numbers 984/36, 257/45, 363/627 is

LCM of Numerators i.e. for 984,257,363 is 30599448

GCF of denominators i.e. for 36,45,627 is 3.

Thus, LCM of Fractions is 10199816.Finally, LCM of Fractions for 984/36, 257/45, 363/627 is 10199816.