Least Common Multiple of 34/588, 824/807, 570/342

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/588, 824/807, 570/342 quickly i.e. 1330760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/588, 824/807, 570/342 is 1330760.

LCM(34/588, 824/807, 570/342) = 1330760

LCM of 34/588, 824/807, 570/342

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 34/588,824/807,570/342

Given numbers are 34/588,824/807,570/342

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 34,824,570

Least Common Multiple of Numerators i.e. LCM of 34,824,570 is 3992280.

GCF of Denominators means GCF of 588,807,342 as per the given fractions.

GCF of 588,807,342 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,824,570

LCM of Fractions 34/588,824/807,570/342 is 1330760

2 34, 824, 570
17, 412, 285

∴ So the LCM of the given numbers is 2 x 17 x 412 x 285 = 3992280

Least Common Multiple of 34,824,570 with GCF Formula

Least Common Multiple of 34,824,570 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 34,824,570 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,824,570) = 2

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

GCF(34,824,570) x common factors =2 x 2 = 4

LCM(34,824,570) = ( 34 × 824 × 570 ) / 4

LCM(34,824,570) = 15969120 / 4

LCM(34,824,570) = 3992280


Lets's calculate GCF of 588,807,342

3 588, 807, 342
196, 269, 114

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3992280/3

Therefore the LCM of Fractions 34/588,824/807,570/342 is 1330760

Greatest Common Factor of 588,807,342 By Matching Biggest Common Factor Method

Greatest Common Factor of 588,807,342 By Matching Biggest Common Factor Method

Factors of 588

List of positive integer factors of 588 that divides 588 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588

Factors of 807

List of positive integer factors of 807 that divides 807 without a remainder.

1,3,269,807

Factors of 342

List of positive integer factors of 342 that divides 342 without a remainder.

1,2,3,6,9,18,19,38,57,114,171,342

Greatest Common Factor

We found the factors 588,807,342 . The biggest common factor number is the GCF number.
So the greatest common factor 588,807,342 is 3.


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 34/588, 824/807, 570/342

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 34/588, 824/807, 570/342?

Answer: LCM of Numerators as per given numbers 34/588, 824/807, 570/342 is

LCM of Numerators i.e. for 34,824,570 is 3992280

GCF of denominators i.e. for 588,807,342 is 3.

Thus, LCM of Fractions is 1330760.Finally, LCM of Fractions for 34/588, 824/807, 570/342 is 1330760.