Least Common Multiple of 287/45, 299/42, 299/526

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 287/45, 299/42, 299/526 quickly i.e. 85813 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 287/45, 299/42, 299/526 is 85813.

LCM(287/45, 299/42, 299/526) = 85813

LCM of 287/45, 299/42, 299/526

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 287/45,299/42,299/526

Given numbers are 287/45,299/42,299/526

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 287,299,299

Least Common Multiple of Numerators i.e. LCM of 287,299,299 is 85813.

GCF of Denominators means GCF of 45,42,526 as per the given fractions.

GCF of 45,42,526 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 287,299,299

LCM of Fractions 287/45,299/42,299/526 is 85813

13 287, 299, 299
23 287, 23, 23
287, 1, 1

∴ So the LCM of the given numbers is 13 x 23 x 287 x 1 x 1 = 85813

Least Common Multiple of 287,299,299 with GCF Formula

Least Common Multiple of 287,299,299 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 287,299,299 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(287,299,299) = 1

common factors(in case of two or more numbers have common factors) = 299

GCF(287,299,299) x common factors =1 x 299 = 299

LCM(287,299,299) = ( 287 × 299 × 299 ) / 299

LCM(287,299,299) = 25658087 / 299

LCM(287,299,299) = 85813


Lets's calculate GCF of 45,42,526

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 85813/1

Therefore the LCM of Fractions 287/45,299/42,299/526 is 85813

Greatest Common Factor of 45,42,526 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,42,526 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

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 526

List of positive integer factors of 526 that divides 526 without a remainder.

1,2,263,526

Greatest Common Factor

We found the factors 45,42,526 . The biggest common factor number is the GCF number.
So the greatest common factor 45,42,526 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 287/45, 299/42, 299/526

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 287/45, 299/42, 299/526?

Answer: LCM of Numerators as per given numbers 287/45, 299/42, 299/526 is

LCM of Numerators i.e. for 287,299,299 is 85813

GCF of denominators i.e. for 45,42,526 is 1.

Thus, LCM of Fractions is 85813.Finally, LCM of Fractions for 287/45, 299/42, 299/526 is 85813.