Least Common Multiple of 307/56, 807/42, 441/281

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 307/56, 807/42, 441/281 quickly i.e. 36419103 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 307/56, 807/42, 441/281 is 36419103.

LCM(307/56, 807/42, 441/281) = 36419103

LCM of 307/56, 807/42, 441/281

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 307/56,807/42,441/281

Given numbers are 307/56,807/42,441/281

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 307,807,441

Least Common Multiple of Numerators i.e. LCM of 307,807,441 is 36419103.

GCF of Denominators means GCF of 56,42,281 as per the given fractions.

GCF of 56,42,281 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 307,807,441

LCM of Fractions 307/56,807/42,441/281 is 36419103

3 307, 807, 441
307, 269, 147

∴ So the LCM of the given numbers is 3 x 307 x 269 x 147 = 36419103

Least Common Multiple of 307,807,441 with GCF Formula

Least Common Multiple of 307,807,441 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 307,807,441 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(307,807,441) = 1

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

GCF(307,807,441) x common factors =1 x 3 = 3

LCM(307,807,441) = ( 307 × 807 × 441 ) / 3

LCM(307,807,441) = 109257309 / 3

LCM(307,807,441) = 36419103


Lets's calculate GCF of 56,42,281

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36419103/1

Therefore the LCM of Fractions 307/56,807/42,441/281 is 36419103

Greatest Common Factor of 56,42,281 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,42,281 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 281

List of positive integer factors of 281 that divides 281 without a remainder.

1,281

Greatest Common Factor

We found the factors 56,42,281 . The biggest common factor number is the GCF number.
So the greatest common factor 56,42,281 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 307/56, 807/42, 441/281

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 307/56, 807/42, 441/281?

Answer: LCM of Numerators as per given numbers 307/56, 807/42, 441/281 is

LCM of Numerators i.e. for 307,807,441 is 36419103

GCF of denominators i.e. for 56,42,281 is 1.

Thus, LCM of Fractions is 36419103.Finally, LCM of Fractions for 307/56, 807/42, 441/281 is 36419103.