Least Common Multiple of 455/86, 872/90, 609/613

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 455/86, 872/90, 609/613 quickly i.e. 34518120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 455/86, 872/90, 609/613 is 34518120.

LCM(455/86, 872/90, 609/613) = 34518120

LCM of 455/86, 872/90, 609/613

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 455/86,872/90,609/613

Given numbers are 455/86,872/90,609/613

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 455,872,609

Least Common Multiple of Numerators i.e. LCM of 455,872,609 is 34518120.

GCF of Denominators means GCF of 86,90,613 as per the given fractions.

GCF of 86,90,613 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 455,872,609

LCM of Fractions 455/86,872/90,609/613 is 34518120

7 455, 872, 609
65, 872, 87

∴ So the LCM of the given numbers is 7 x 65 x 872 x 87 = 34518120

Least Common Multiple of 455,872,609 with GCF Formula

Least Common Multiple of 455,872,609 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 455,872,609 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(455,872,609) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(455,872,609) x common factors =1 x 7 = 7

LCM(455,872,609) = ( 455 × 872 × 609 ) / 7

LCM(455,872,609) = 241626840 / 7

LCM(455,872,609) = 34518120


Lets's calculate GCF of 86,90,613

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34518120/1

Therefore the LCM of Fractions 455/86,872/90,609/613 is 34518120

Greatest Common Factor of 86,90,613 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,90,613 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 613

List of positive integer factors of 613 that divides 613 without a remainder.

1,613

Greatest Common Factor

We found the factors 86,90,613 . The biggest common factor number is the GCF number.
So the greatest common factor 86,90,613 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 455/86, 872/90, 609/613

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 455/86, 872/90, 609/613?

Answer: LCM of Numerators as per given numbers 455/86, 872/90, 609/613 is

LCM of Numerators i.e. for 455,872,609 is 34518120

GCF of denominators i.e. for 86,90,613 is 1.

Thus, LCM of Fractions is 34518120.Finally, LCM of Fractions for 455/86, 872/90, 609/613 is 34518120.