Least Common Multiple of 478/33, 667/61, 871/267

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 478/33, 667/61, 871/267 quickly i.e. 277697446 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 478/33, 667/61, 871/267 is 277697446.

LCM(478/33, 667/61, 871/267) = 277697446

LCM of 478/33, 667/61, 871/267

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 478/33,667/61,871/267

Given numbers are 478/33,667/61,871/267

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 478,667,871

Least Common Multiple of Numerators i.e. LCM of 478,667,871 is 277697446.

GCF of Denominators means GCF of 33,61,267 as per the given fractions.

GCF of 33,61,267 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 478,667,871

LCM of Fractions 478/33,667/61,871/267 is 277697446

Given numbers has no common factors except 1. So, there LCM is their product i.e 277697446

Least Common Multiple of 478,667,871 with GCF Formula

Least Common Multiple of 478,667,871 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 478,667,871 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(478,667,871) = 1

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

GCF(478,667,871) x common factors =1 x 1 = 1

LCM(478,667,871) = ( 478 × 667 × 871 ) / 1

LCM(478,667,871) = 277697446 / 1

LCM(478,667,871) = 277697446


Lets's calculate GCF of 33,61,267

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 277697446/1

Therefore the LCM of Fractions 478/33,667/61,871/267 is 277697446

Greatest Common Factor of 33,61,267 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,61,267 By Matching Biggest Common Factor Method

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 267

List of positive integer factors of 267 that divides 267 without a remainder.

1,3,89,267

Greatest Common Factor

We found the factors 33,61,267 . The biggest common factor number is the GCF number.
So the greatest common factor 33,61,267 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 478/33, 667/61, 871/267

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 478/33, 667/61, 871/267?

Answer: LCM of Numerators as per given numbers 478/33, 667/61, 871/267 is

LCM of Numerators i.e. for 478,667,871 is 277697446

GCF of denominators i.e. for 33,61,267 is 1.

Thus, LCM of Fractions is 277697446.Finally, LCM of Fractions for 478/33, 667/61, 871/267 is 277697446.