Least Common Multiple of 47/267, 15/717, 852/627

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 47/267, 15/717, 852/627 quickly i.e. 66740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 47/267, 15/717, 852/627 is 66740.

LCM(47/267, 15/717, 852/627) = 66740

LCM of 47/267, 15/717, 852/627

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 47/267,15/717,852/627

Given numbers are 47/267,15/717,852/627

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 47,15,852

Least Common Multiple of Numerators i.e. LCM of 47,15,852 is 200220.

GCF of Denominators means GCF of 267,717,627 as per the given fractions.

GCF of 267,717,627 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 47,15,852

LCM of Fractions 47/267,15/717,852/627 is 66740

3 47, 15, 852
47, 5, 284

∴ So the LCM of the given numbers is 3 x 47 x 5 x 284 = 200220

Least Common Multiple of 47,15,852 with GCF Formula

Least Common Multiple of 47,15,852 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 47,15,852 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,15,852) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(47,15,852) x common factors =1 x 3 = 3

LCM(47,15,852) = ( 47 × 15 × 852 ) / 3

LCM(47,15,852) = 600660 / 3

LCM(47,15,852) = 200220


Lets's calculate GCF of 267,717,627

3 267, 717, 627
89, 239, 209

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 200220/3

Therefore the LCM of Fractions 47/267,15/717,852/627 is 66740

Greatest Common Factor of 267,717,627 By Matching Biggest Common Factor Method

Greatest Common Factor of 267,717,627 By Matching Biggest Common Factor Method

Factors of 267

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

1,3,89,267

Factors of 717

List of positive integer factors of 717 that divides 717 without a remainder.

1,3,239,717

Factors of 627

List of positive integer factors of 627 that divides 627 without a remainder.

1,3,11,19,33,57,209,627

Greatest Common Factor

We found the factors 267,717,627 . The biggest common factor number is the GCF number.
So the greatest common factor 267,717,627 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 47/267, 15/717, 852/627

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 47/267, 15/717, 852/627?

Answer: LCM of Numerators as per given numbers 47/267, 15/717, 852/627 is

LCM of Numerators i.e. for 47,15,852 is 200220

GCF of denominators i.e. for 267,717,627 is 3.

Thus, LCM of Fractions is 66740.Finally, LCM of Fractions for 47/267, 15/717, 852/627 is 66740.