Least Common Multiple of 610/480, 5605/471

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 610/480, 5605/471 quickly i.e. 683810/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 610/480, 5605/471 is 683810/3.

LCM(610/480, 5605/471) = 683810/3

LCM of 610/480, 5605/471

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 610/480,5605/471

Given numbers are 610/480,5605/471

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 610,5605

Least Common Multiple of Numerators i.e. LCM of 610,5605 is 683810.

GCF of Denominators means GCF of 480,471 as per the given fractions.

GCF of 480,471 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 610,5605

LCM of Fractions 610/480,5605/471 is 683810/3

5 610, 5605
122, 1121

∴ So the LCM of the given numbers is 5 x 122 x 1121 = 683810

Least Common Multiple of 610,5605 with GCF Formula

Least Common Multiple of 610,5605 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 610,5605 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(610,5605) = 5

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

GCF(610,5605) x common factors =5 x 1 = 5

LCM(610,5605) = ( 610 × 5605 ) / 5

LCM(610,5605) = 3419050 / 5

LCM(610,5605) = 683810


Lets's calculate GCF of 480,471

3 480, 471
160, 157

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 683810/3

Therefore the LCM of Fractions 610/480,5605/471 is 683810/3

Greatest Common Factor of 480,471 By Matching Biggest Common Factor Method

Greatest Common Factor of 480,471 By Matching Biggest Common Factor Method

Factors of 480

List of positive integer factors of 480 that divides 480 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480

Factors of 471

List of positive integer factors of 471 that divides 471 without a remainder.

1,3,157,471

Greatest Common Factor

We found the factors 480,471 . The biggest common factor number is the GCF number.
So the greatest common factor 480,471 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 610/480, 5605/471

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 610/480, 5605/471?

Answer: LCM of Numerators as per given numbers 610/480, 5605/471 is

LCM of Numerators i.e. for 610,5605 is 683810

GCF of denominators i.e. for 480,471 is 3.

Thus, LCM of Fractions is 683810/3.Finally, LCM of Fractions for 610/480, 5605/471 is 683810/3.