Least Common Multiple of 106/469, 463/160, 559/366

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 106/469, 463/160, 559/366 quickly i.e. 27434602 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 106/469, 463/160, 559/366 is 27434602.

LCM(106/469, 463/160, 559/366) = 27434602

LCM of 106/469, 463/160, 559/366

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 106/469,463/160,559/366

Given numbers are 106/469,463/160,559/366

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 106,463,559

Least Common Multiple of Numerators i.e. LCM of 106,463,559 is 27434602.

GCF of Denominators means GCF of 469,160,366 as per the given fractions.

GCF of 469,160,366 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 106,463,559

LCM of Fractions 106/469,463/160,559/366 is 27434602

Given numbers has no common factors except 1. So, there LCM is their product i.e 27434602

Least Common Multiple of 106,463,559 with GCF Formula

Least Common Multiple of 106,463,559 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 106,463,559 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(106,463,559) = 1

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

GCF(106,463,559) x common factors =1 x 1 = 1

LCM(106,463,559) = ( 106 × 463 × 559 ) / 1

LCM(106,463,559) = 27434602 / 1

LCM(106,463,559) = 27434602


Lets's calculate GCF of 469,160,366

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27434602/1

Therefore the LCM of Fractions 106/469,463/160,559/366 is 27434602

Greatest Common Factor of 469,160,366 By Matching Biggest Common Factor Method

Greatest Common Factor of 469,160,366 By Matching Biggest Common Factor Method

Factors of 469

List of positive integer factors of 469 that divides 469 without a remainder.

1,7,67,469

Factors of 160

List of positive integer factors of 160 that divides 160 without a remainder.

1,2,4,5,8,10,16,20,32,40,80,160

Factors of 366

List of positive integer factors of 366 that divides 366 without a remainder.

1,2,3,6,61,122,183,366

Greatest Common Factor

We found the factors 469,160,366 . The biggest common factor number is the GCF number.
So the greatest common factor 469,160,366 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 106/469, 463/160, 559/366

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 106/469, 463/160, 559/366?

Answer: LCM of Numerators as per given numbers 106/469, 463/160, 559/366 is

LCM of Numerators i.e. for 106,463,559 is 27434602

GCF of denominators i.e. for 469,160,366 is 1.

Thus, LCM of Fractions is 27434602.Finally, LCM of Fractions for 106/469, 463/160, 559/366 is 27434602.