Least Common Multiple of 477/230, 5310/335

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 477/230, 5310/335 quickly i.e. 56286 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 477/230, 5310/335 is 56286.

LCM(477/230, 5310/335) = 56286

LCM of 477/230, 5310/335

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 477/230,5310/335

Given numbers are 477/230,5310/335

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 477,5310

Least Common Multiple of Numerators i.e. LCM of 477,5310 is 281430.

GCF of Denominators means GCF of 230,335 as per the given fractions.

GCF of 230,335 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 477,5310

LCM of Fractions 477/230,5310/335 is 56286

3 477, 5310
3 159, 1770
53, 590

∴ So the LCM of the given numbers is 3 x 3 x 53 x 590 = 281430

Least Common Multiple of 477,5310 with GCF Formula

Least Common Multiple of 477,5310 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 477,5310 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(477,5310) = 9

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

GCF(477,5310) x common factors =9 x 1 = 9

LCM(477,5310) = ( 477 × 5310 ) / 9

LCM(477,5310) = 2532870 / 9

LCM(477,5310) = 281430


Lets's calculate GCF of 230,335

5 230, 335
46, 67

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 281430/5

Therefore the LCM of Fractions 477/230,5310/335 is 56286

Greatest Common Factor of 230,335 By Matching Biggest Common Factor Method

Greatest Common Factor of 230,335 By Matching Biggest Common Factor Method

Factors of 230

List of positive integer factors of 230 that divides 230 without a remainder.

1,2,5,10,23,46,115,230

Factors of 335

List of positive integer factors of 335 that divides 335 without a remainder.

1,5,67,335

Greatest Common Factor

We found the factors 230,335 . The biggest common factor number is the GCF number.
So the greatest common factor 230,335 is 5.


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 477/230, 5310/335

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 477/230, 5310/335?

Answer: LCM of Numerators as per given numbers 477/230, 5310/335 is

LCM of Numerators i.e. for 477,5310 is 281430

GCF of denominators i.e. for 230,335 is 5.

Thus, LCM of Fractions is 56286.Finally, LCM of Fractions for 477/230, 5310/335 is 56286.