Least Common Multiple of 304/84, 205/24, 118/828

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 304/84, 205/24, 118/828 quickly i.e. 3676880/12 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 304/84, 205/24, 118/828 is 3676880/12.

LCM(304/84, 205/24, 118/828) = 3676880/12

LCM of 304/84, 205/24, 118/828

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 304/84,205/24,118/828

Given numbers are 304/84,205/24,118/828

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 304,205,118

Least Common Multiple of Numerators i.e. LCM of 304,205,118 is 3676880.

GCF of Denominators means GCF of 84,24,828 as per the given fractions.

GCF of 84,24,828 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 304,205,118

LCM of Fractions 304/84,205/24,118/828 is 3676880/12

2 304, 205, 118
152, 205, 59

∴ So the LCM of the given numbers is 2 x 152 x 205 x 59 = 3676880

Least Common Multiple of 304,205,118 with GCF Formula

Least Common Multiple of 304,205,118 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 304,205,118 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(304,205,118) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(304,205,118) x common factors =1 x 2 = 2

LCM(304,205,118) = ( 304 × 205 × 118 ) / 2

LCM(304,205,118) = 7353760 / 2

LCM(304,205,118) = 3676880


Lets's calculate GCF of 84,24,828

2 84, 24, 828
2 42, 12, 414
3 21, 6, 207
7, 2, 69

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3676880/12

Therefore the LCM of Fractions 304/84,205/24,118/828 is 3676880/12

Greatest Common Factor of 84,24,828 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,24,828 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 828

List of positive integer factors of 828 that divides 828 without a remainder.

1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828

Greatest Common Factor

We found the factors 84,24,828 . The biggest common factor number is the GCF number.
So the greatest common factor 84,24,828 is 12.


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 304/84, 205/24, 118/828

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 304/84, 205/24, 118/828?

Answer: LCM of Numerators as per given numbers 304/84, 205/24, 118/828 is

LCM of Numerators i.e. for 304,205,118 is 3676880

GCF of denominators i.e. for 84,24,828 is 12.

Thus, LCM of Fractions is 3676880/12.Finally, LCM of Fractions for 304/84, 205/24, 118/828 is 3676880/12.