Least Common Multiple of 888/469, 191/567, 445/460

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 888/469, 191/567, 445/460 quickly i.e. 75475560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 888/469, 191/567, 445/460 is 75475560.

LCM(888/469, 191/567, 445/460) = 75475560

LCM of 888/469, 191/567, 445/460

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 888/469,191/567,445/460

Given numbers are 888/469,191/567,445/460

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 888,191,445

Least Common Multiple of Numerators i.e. LCM of 888,191,445 is 75475560.

GCF of Denominators means GCF of 469,567,460 as per the given fractions.

GCF of 469,567,460 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 888,191,445

LCM of Fractions 888/469,191/567,445/460 is 75475560

Given numbers has no common factors except 1. So, there LCM is their product i.e 75475560

Least Common Multiple of 888,191,445 with GCF Formula

Least Common Multiple of 888,191,445 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 888,191,445 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(888,191,445) = 1

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

GCF(888,191,445) x common factors =1 x 1 = 1

LCM(888,191,445) = ( 888 × 191 × 445 ) / 1

LCM(888,191,445) = 75475560 / 1

LCM(888,191,445) = 75475560


Lets's calculate GCF of 469,567,460

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 75475560/1

Therefore the LCM of Fractions 888/469,191/567,445/460 is 75475560

Greatest Common Factor of 469,567,460 By Matching Biggest Common Factor Method

Greatest Common Factor of 469,567,460 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 567

List of positive integer factors of 567 that divides 567 without a remainder.

1,3,7,9,21,27,63,81,189,567

Factors of 460

List of positive integer factors of 460 that divides 460 without a remainder.

1,2,4,5,10,20,23,46,92,115,230,460

Greatest Common Factor

We found the factors 469,567,460 . The biggest common factor number is the GCF number.
So the greatest common factor 469,567,460 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 888/469, 191/567, 445/460

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 888/469, 191/567, 445/460?

Answer: LCM of Numerators as per given numbers 888/469, 191/567, 445/460 is

LCM of Numerators i.e. for 888,191,445 is 75475560

GCF of denominators i.e. for 469,567,460 is 1.

Thus, LCM of Fractions is 75475560.Finally, LCM of Fractions for 888/469, 191/567, 445/460 is 75475560.