Least Common Multiple of 588/28, 105/85, 801/134

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 588/28, 105/85, 801/134 quickly i.e. 784980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 588/28, 105/85, 801/134 is 784980.

LCM(588/28, 105/85, 801/134) = 784980

LCM of 588/28, 105/85, 801/134

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 588/28,105/85,801/134

Given numbers are 588/28,105/85,801/134

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 588,105,801

Least Common Multiple of Numerators i.e. LCM of 588,105,801 is 784980.

GCF of Denominators means GCF of 28,85,134 as per the given fractions.

GCF of 28,85,134 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 588,105,801

LCM of Fractions 588/28,105/85,801/134 is 784980

3 588, 105, 801
7 196, 35, 267
28, 5, 267

∴ So the LCM of the given numbers is 3 x 7 x 28 x 5 x 267 = 784980

Least Common Multiple of 588,105,801 with GCF Formula

Least Common Multiple of 588,105,801 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 588,105,801 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(588,105,801) = 3

common factors(in case of two or more numbers have common factors) = 21

GCF(588,105,801) x common factors =3 x 21 = 63

LCM(588,105,801) = ( 588 × 105 × 801 ) / 63

LCM(588,105,801) = 49453740 / 63

LCM(588,105,801) = 784980


Lets's calculate GCF of 28,85,134

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 784980/1

Therefore the LCM of Fractions 588/28,105/85,801/134 is 784980

Greatest Common Factor of 28,85,134 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,85,134 By Matching Biggest Common Factor Method

Factors of 28

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

1,2,4,7,14,28

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 134

List of positive integer factors of 134 that divides 134 without a remainder.

1,2,67,134

Greatest Common Factor

We found the factors 28,85,134 . The biggest common factor number is the GCF number.
So the greatest common factor 28,85,134 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 588/28, 105/85, 801/134

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 588/28, 105/85, 801/134?

Answer: LCM of Numerators as per given numbers 588/28, 105/85, 801/134 is

LCM of Numerators i.e. for 588,105,801 is 784980

GCF of denominators i.e. for 28,85,134 is 1.

Thus, LCM of Fractions is 784980.Finally, LCM of Fractions for 588/28, 105/85, 801/134 is 784980.