Least Common Multiple of 13/168, 74/421, 585/759

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 13/168, 74/421, 585/759 quickly i.e. 43290 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/168, 74/421, 585/759 is 43290.

LCM(13/168, 74/421, 585/759) = 43290

LCM of 13/168, 74/421, 585/759

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 13/168,74/421,585/759

Given numbers are 13/168,74/421,585/759

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 13,74,585

Least Common Multiple of Numerators i.e. LCM of 13,74,585 is 43290.

GCF of Denominators means GCF of 168,421,759 as per the given fractions.

GCF of 168,421,759 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,74,585

LCM of Fractions 13/168,74/421,585/759 is 43290

13 13, 74, 585
1, 74, 45

∴ So the LCM of the given numbers is 13 x 1 x 74 x 45 = 43290

Least Common Multiple of 13,74,585 with GCF Formula

Least Common Multiple of 13,74,585 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 13,74,585 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,74,585) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(13,74,585) x common factors =1 x 13 = 13

LCM(13,74,585) = ( 13 × 74 × 585 ) / 13

LCM(13,74,585) = 562770 / 13

LCM(13,74,585) = 43290


Lets's calculate GCF of 168,421,759

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43290/1

Therefore the LCM of Fractions 13/168,74/421,585/759 is 43290

Greatest Common Factor of 168,421,759 By Matching Biggest Common Factor Method

Greatest Common Factor of 168,421,759 By Matching Biggest Common Factor Method

Factors of 168

List of positive integer factors of 168 that divides 168 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168

Factors of 421

List of positive integer factors of 421 that divides 421 without a remainder.

1,421

Factors of 759

List of positive integer factors of 759 that divides 759 without a remainder.

1,3,11,23,33,69,253,759

Greatest Common Factor

We found the factors 168,421,759 . The biggest common factor number is the GCF number.
So the greatest common factor 168,421,759 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 13/168, 74/421, 585/759

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 13/168, 74/421, 585/759?

Answer: LCM of Numerators as per given numbers 13/168, 74/421, 585/759 is

LCM of Numerators i.e. for 13,74,585 is 43290

GCF of denominators i.e. for 168,421,759 is 1.

Thus, LCM of Fractions is 43290.Finally, LCM of Fractions for 13/168, 74/421, 585/759 is 43290.