Least Common Multiple of 475/89, 255/28, 413/784

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 475/89, 255/28, 413/784 quickly i.e. 10004925 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 475/89, 255/28, 413/784 is 10004925.

LCM(475/89, 255/28, 413/784) = 10004925

LCM of 475/89, 255/28, 413/784

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 475/89,255/28,413/784

Given numbers are 475/89,255/28,413/784

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 475,255,413

Least Common Multiple of Numerators i.e. LCM of 475,255,413 is 10004925.

GCF of Denominators means GCF of 89,28,784 as per the given fractions.

GCF of 89,28,784 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 475,255,413

LCM of Fractions 475/89,255/28,413/784 is 10004925

5 475, 255, 413
95, 51, 413

∴ So the LCM of the given numbers is 5 x 95 x 51 x 413 = 10004925

Least Common Multiple of 475,255,413 with GCF Formula

Least Common Multiple of 475,255,413 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 475,255,413 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(475,255,413) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(475,255,413) x common factors =1 x 5 = 5

LCM(475,255,413) = ( 475 × 255 × 413 ) / 5

LCM(475,255,413) = 50024625 / 5

LCM(475,255,413) = 10004925


Lets's calculate GCF of 89,28,784

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10004925/1

Therefore the LCM of Fractions 475/89,255/28,413/784 is 10004925

Greatest Common Factor of 89,28,784 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,28,784 By Matching Biggest Common Factor Method

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 784

List of positive integer factors of 784 that divides 784 without a remainder.

1,2,4,7,8,14,16,28,49,56,98,112,196,392,784

Greatest Common Factor

We found the factors 89,28,784 . The biggest common factor number is the GCF number.
So the greatest common factor 89,28,784 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 475/89, 255/28, 413/784

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 475/89, 255/28, 413/784?

Answer: LCM of Numerators as per given numbers 475/89, 255/28, 413/784 is

LCM of Numerators i.e. for 475,255,413 is 10004925

GCF of denominators i.e. for 89,28,784 is 1.

Thus, LCM of Fractions is 10004925.Finally, LCM of Fractions for 475/89, 255/28, 413/784 is 10004925.