Least Common Multiple of 27/304, 976/490, 984/123

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/304, 976/490, 984/123 quickly i.e. 1080432 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/304, 976/490, 984/123 is 1080432.

LCM(27/304, 976/490, 984/123) = 1080432

LCM of 27/304, 976/490, 984/123

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 27/304,976/490,984/123

Given numbers are 27/304,976/490,984/123

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 27,976,984

Least Common Multiple of Numerators i.e. LCM of 27,976,984 is 1080432.

GCF of Denominators means GCF of 304,490,123 as per the given fractions.

GCF of 304,490,123 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,976,984

LCM of Fractions 27/304,976/490,984/123 is 1080432

2 27, 976, 984
2 27, 488, 492
2 27, 244, 246
3 27, 122, 123
9, 122, 41

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 9 x 122 x 41 = 1080432

Least Common Multiple of 27,976,984 with GCF Formula

Least Common Multiple of 27,976,984 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 27,976,984 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,976,984) = 1

common factors(in case of two or more numbers have common factors) = 24

GCF(27,976,984) x common factors =1 x 24 = 24

LCM(27,976,984) = ( 27 × 976 × 984 ) / 24

LCM(27,976,984) = 25930368 / 24

LCM(27,976,984) = 1080432


Lets's calculate GCF of 304,490,123

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1080432/1

Therefore the LCM of Fractions 27/304,976/490,984/123 is 1080432

Greatest Common Factor of 304,490,123 By Matching Biggest Common Factor Method

Greatest Common Factor of 304,490,123 By Matching Biggest Common Factor Method

Factors of 304

List of positive integer factors of 304 that divides 304 without a remainder.

1,2,4,8,16,19,38,76,152,304

Factors of 490

List of positive integer factors of 490 that divides 490 without a remainder.

1,2,5,7,10,14,35,49,70,98,245,490

Factors of 123

List of positive integer factors of 123 that divides 123 without a remainder.

1,3,41,123

Greatest Common Factor

We found the factors 304,490,123 . The biggest common factor number is the GCF number.
So the greatest common factor 304,490,123 is 1.


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 27/304, 976/490, 984/123

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 27/304, 976/490, 984/123?

Answer: LCM of Numerators as per given numbers 27/304, 976/490, 984/123 is

LCM of Numerators i.e. for 27,976,984 is 1080432

GCF of denominators i.e. for 304,490,123 is 1.

Thus, LCM of Fractions is 1080432.Finally, LCM of Fractions for 27/304, 976/490, 984/123 is 1080432.