Least Common Multiple of 901/67, 278/28, 588/593

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 901/67, 278/28, 588/593 quickly i.e. 73640532 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 901/67, 278/28, 588/593 is 73640532.

LCM(901/67, 278/28, 588/593) = 73640532

LCM of 901/67, 278/28, 588/593

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 901/67,278/28,588/593

Given numbers are 901/67,278/28,588/593

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 901,278,588

Least Common Multiple of Numerators i.e. LCM of 901,278,588 is 73640532.

GCF of Denominators means GCF of 67,28,593 as per the given fractions.

GCF of 67,28,593 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 901,278,588

LCM of Fractions 901/67,278/28,588/593 is 73640532

2 901, 278, 588
901, 139, 294

∴ So the LCM of the given numbers is 2 x 901 x 139 x 294 = 73640532

Least Common Multiple of 901,278,588 with GCF Formula

Least Common Multiple of 901,278,588 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 901,278,588 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(901,278,588) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(901,278,588) x common factors =1 x 2 = 2

LCM(901,278,588) = ( 901 × 278 × 588 ) / 2

LCM(901,278,588) = 147281064 / 2

LCM(901,278,588) = 73640532


Lets's calculate GCF of 67,28,593

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 73640532/1

Therefore the LCM of Fractions 901/67,278/28,588/593 is 73640532

Greatest Common Factor of 67,28,593 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,28,593 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 593

List of positive integer factors of 593 that divides 593 without a remainder.

1,593

Greatest Common Factor

We found the factors 67,28,593 . The biggest common factor number is the GCF number.
So the greatest common factor 67,28,593 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 901/67, 278/28, 588/593

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 901/67, 278/28, 588/593?

Answer: LCM of Numerators as per given numbers 901/67, 278/28, 588/593 is

LCM of Numerators i.e. for 901,278,588 is 73640532

GCF of denominators i.e. for 67,28,593 is 1.

Thus, LCM of Fractions is 73640532.Finally, LCM of Fractions for 901/67, 278/28, 588/593 is 73640532.