Least Common Multiple of 105/287, 429/281, 234/150

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 105/287, 429/281, 234/150 quickly i.e. 90090 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 105/287, 429/281, 234/150 is 90090.

LCM(105/287, 429/281, 234/150) = 90090

LCM of 105/287, 429/281, 234/150

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 105/287,429/281,234/150

Given numbers are 105/287,429/281,234/150

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 105,429,234

Least Common Multiple of Numerators i.e. LCM of 105,429,234 is 90090.

GCF of Denominators means GCF of 287,281,150 as per the given fractions.

GCF of 287,281,150 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 105,429,234

LCM of Fractions 105/287,429/281,234/150 is 90090

3 105, 429, 234
13 35, 143, 78
35, 11, 6

∴ So the LCM of the given numbers is 3 x 13 x 35 x 11 x 6 = 90090

Least Common Multiple of 105,429,234 with GCF Formula

Least Common Multiple of 105,429,234 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 105,429,234 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(105,429,234) = 3

common factors(in case of two or more numbers have common factors) = 39

GCF(105,429,234) x common factors =3 x 39 = 117

LCM(105,429,234) = ( 105 × 429 × 234 ) / 117

LCM(105,429,234) = 10540530 / 117

LCM(105,429,234) = 90090


Lets's calculate GCF of 287,281,150

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 90090/1

Therefore the LCM of Fractions 105/287,429/281,234/150 is 90090

Greatest Common Factor of 287,281,150 By Matching Biggest Common Factor Method

Greatest Common Factor of 287,281,150 By Matching Biggest Common Factor Method

Factors of 287

List of positive integer factors of 287 that divides 287 without a remainder.

1,7,41,287

Factors of 281

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

1,281

Factors of 150

List of positive integer factors of 150 that divides 150 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,150

Greatest Common Factor

We found the factors 287,281,150 . The biggest common factor number is the GCF number.
So the greatest common factor 287,281,150 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 105/287, 429/281, 234/150

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 105/287, 429/281, 234/150?

Answer: LCM of Numerators as per given numbers 105/287, 429/281, 234/150 is

LCM of Numerators i.e. for 105,429,234 is 90090

GCF of denominators i.e. for 287,281,150 is 1.

Thus, LCM of Fractions is 90090.Finally, LCM of Fractions for 105/287, 429/281, 234/150 is 90090.