Least Common Multiple of 588/69, 362/74, 905/287

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 588/69, 362/74, 905/287 quickly i.e. 532140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 588/69, 362/74, 905/287 is 532140.

LCM(588/69, 362/74, 905/287) = 532140

LCM of 588/69, 362/74, 905/287

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 588/69,362/74,905/287

Given numbers are 588/69,362/74,905/287

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 588,362,905

Least Common Multiple of Numerators i.e. LCM of 588,362,905 is 532140.

GCF of Denominators means GCF of 69,74,287 as per the given fractions.

GCF of 69,74,287 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 588,362,905

LCM of Fractions 588/69,362/74,905/287 is 532140

2 588, 362, 905
181 294, 181, 905
294, 1, 5

∴ So the LCM of the given numbers is 2 x 181 x 294 x 1 x 5 = 532140

Least Common Multiple of 588,362,905 with GCF Formula

Least Common Multiple of 588,362,905 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 588,362,905 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(588,362,905) = 1

common factors(in case of two or more numbers have common factors) = 362

GCF(588,362,905) x common factors =1 x 362 = 362

LCM(588,362,905) = ( 588 × 362 × 905 ) / 362

LCM(588,362,905) = 192634680 / 362

LCM(588,362,905) = 532140


Lets's calculate GCF of 69,74,287

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 532140/1

Therefore the LCM of Fractions 588/69,362/74,905/287 is 532140

Greatest Common Factor of 69,74,287 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,74,287 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 287

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

1,7,41,287

Greatest Common Factor

We found the factors 69,74,287 . The biggest common factor number is the GCF number.
So the greatest common factor 69,74,287 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 588/69, 362/74, 905/287

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 588/69, 362/74, 905/287?

Answer: LCM of Numerators as per given numbers 588/69, 362/74, 905/287 is

LCM of Numerators i.e. for 588,362,905 is 532140

GCF of denominators i.e. for 69,74,287 is 1.

Thus, LCM of Fractions is 532140.Finally, LCM of Fractions for 588/69, 362/74, 905/287 is 532140.