Least Common Multiple of 162/518, 435/578

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 162/518, 435/578 quickly i.e. 11745 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 162/518, 435/578 is 11745.

LCM(162/518, 435/578) = 11745

LCM of 162/518, 435/578

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 162/518,435/578

Given numbers are 162/518,435/578

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 162,435

Least Common Multiple of Numerators i.e. LCM of 162,435 is 23490.

GCF of Denominators means GCF of 518,578 as per the given fractions.

GCF of 518,578 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 162,435

LCM of Fractions 162/518,435/578 is 11745

3 162, 435
54, 145

∴ So the LCM of the given numbers is 3 x 54 x 145 = 23490

Least Common Multiple of 162,435 with GCF Formula

Least Common Multiple of 162,435 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 162,435 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(162,435) = 3

common factors(in case of two or more numbers have common factors) = 1

GCF(162,435) x common factors =3 x 1 = 3

LCM(162,435) = ( 162 × 435 ) / 3

LCM(162,435) = 70470 / 3

LCM(162,435) = 23490


Lets's calculate GCF of 518,578

2 518, 578
259, 289

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23490/2

Therefore the LCM of Fractions 162/518,435/578 is 11745

Greatest Common Factor of 518,578 By Matching Biggest Common Factor Method

Greatest Common Factor of 518,578 By Matching Biggest Common Factor Method

Factors of 518

List of positive integer factors of 518 that divides 518 without a remainder.

1,2,7,14,37,74,259,518

Factors of 578

List of positive integer factors of 578 that divides 578 without a remainder.

1,2,17,34,289,578

Greatest Common Factor

We found the factors 518,578 . The biggest common factor number is the GCF number.
So the greatest common factor 518,578 is 2.


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 162/518, 435/578

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 162/518, 435/578?

Answer: LCM of Numerators as per given numbers 162/518, 435/578 is

LCM of Numerators i.e. for 162,435 is 23490

GCF of denominators i.e. for 518,578 is 2.

Thus, LCM of Fractions is 11745.Finally, LCM of Fractions for 162/518, 435/578 is 11745.