Least Common Multiple of 217/28, 864/7013

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 217/28, 864/7013 quickly i.e. 187488 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 217/28, 864/7013 is 187488.

LCM(217/28, 864/7013) = 187488

LCM of 217/28, 864/7013

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 217/28,864/7013

Given numbers are 217/28,864/7013

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 217,864

Least Common Multiple of Numerators i.e. LCM of 217,864 is 187488.

GCF of Denominators means GCF of 28,7013 as per the given fractions.

GCF of 28,7013 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 217,864

LCM of Fractions 217/28,864/7013 is 187488

Given numbers has no common factors except 1. So, there LCM is their product i.e 187488

Least Common Multiple of 217,864 with GCF Formula

Least Common Multiple of 217,864 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 217,864 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(217,864) = 1

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

GCF(217,864) x common factors =1 x 1 = 1

LCM(217,864) = ( 217 × 864 ) / 1

LCM(217,864) = 187488 / 1

LCM(217,864) = 187488


Lets's calculate GCF of 28,7013

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 187488/1

Therefore the LCM of Fractions 217/28,864/7013 is 187488

Greatest Common Factor of 28,7013 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,7013 By Matching Biggest Common Factor Method

Factors of 28

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

1,2,4,7,14,28

Factors of 7013

List of positive integer factors of 7013 that divides 7013 without a remainder.

1,7013

Greatest Common Factor

We found the factors 28,7013 . The biggest common factor number is the GCF number.
So the greatest common factor 28,7013 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 217/28, 864/7013

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 217/28, 864/7013?

Answer: LCM of Numerators as per given numbers 217/28, 864/7013 is

LCM of Numerators i.e. for 217,864 is 187488

GCF of denominators i.e. for 28,7013 is 1.

Thus, LCM of Fractions is 187488.Finally, LCM of Fractions for 217/28, 864/7013 is 187488.