Least Common Multiple of 76/304, 432/901, 105/241

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/304, 432/901, 105/241 quickly i.e. 287280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/304, 432/901, 105/241 is 287280.

LCM(76/304, 432/901, 105/241) = 287280

LCM of 76/304, 432/901, 105/241

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 76/304,432/901,105/241

Given numbers are 76/304,432/901,105/241

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 76,432,105

Least Common Multiple of Numerators i.e. LCM of 76,432,105 is 287280.

GCF of Denominators means GCF of 304,901,241 as per the given fractions.

GCF of 304,901,241 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,432,105

LCM of Fractions 76/304,432/901,105/241 is 287280

2 76, 432, 105
2 38, 216, 105
3 19, 108, 105
19, 36, 35

∴ So the LCM of the given numbers is 2 x 2 x 3 x 19 x 36 x 35 = 287280

Least Common Multiple of 76,432,105 with GCF Formula

Least Common Multiple of 76,432,105 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 76,432,105 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,432,105) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(76,432,105) x common factors =1 x 12 = 12

LCM(76,432,105) = ( 76 × 432 × 105 ) / 12

LCM(76,432,105) = 3447360 / 12

LCM(76,432,105) = 287280


Lets's calculate GCF of 304,901,241

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 287280/1

Therefore the LCM of Fractions 76/304,432/901,105/241 is 287280

Greatest Common Factor of 304,901,241 By Matching Biggest Common Factor Method

Greatest Common Factor of 304,901,241 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 901

List of positive integer factors of 901 that divides 901 without a remainder.

1,17,53,901

Factors of 241

List of positive integer factors of 241 that divides 241 without a remainder.

1,241

Greatest Common Factor

We found the factors 304,901,241 . The biggest common factor number is the GCF number.
So the greatest common factor 304,901,241 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 76/304, 432/901, 105/241

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 76/304, 432/901, 105/241?

Answer: LCM of Numerators as per given numbers 76/304, 432/901, 105/241 is

LCM of Numerators i.e. for 76,432,105 is 287280

GCF of denominators i.e. for 304,901,241 is 1.

Thus, LCM of Fractions is 287280.Finally, LCM of Fractions for 76/304, 432/901, 105/241 is 287280.