Least Common Multiple of 223/66, 547/2700

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 223/66, 547/2700 quickly i.e. 121981/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 223/66, 547/2700 is 121981/6.

LCM(223/66, 547/2700) = 121981/6

LCM of 223/66, 547/2700

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 223/66,547/2700

Given numbers are 223/66,547/2700

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 223,547

Least Common Multiple of Numerators i.e. LCM of 223,547 is 121981.

GCF of Denominators means GCF of 66,2700 as per the given fractions.

GCF of 66,2700 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 223,547

LCM of Fractions 223/66,547/2700 is 121981/6

Given numbers has no common factors except 1. So, there LCM is their product i.e 121981

Least Common Multiple of 223,547 with GCF Formula

Least Common Multiple of 223,547 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 223,547 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(223,547) = 1

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

GCF(223,547) x common factors =1 x 1 = 1

LCM(223,547) = ( 223 × 547 ) / 1

LCM(223,547) = 121981 / 1

LCM(223,547) = 121981


Lets's calculate GCF of 66,2700

2 66, 2700
3 33, 1350
11, 450

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 121981/6

Therefore the LCM of Fractions 223/66,547/2700 is 121981/6

Greatest Common Factor of 66,2700 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,2700 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 2700

List of positive integer factors of 2700 that divides 2700 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,27,30,36,45,50,54,60,75,90,100,108,135,150,180,225,270,300,450,540,675,900,1350,2700

Greatest Common Factor

We found the factors 66,2700 . The biggest common factor number is the GCF number.
So the greatest common factor 66,2700 is 6.


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 223/66, 547/2700

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 223/66, 547/2700?

Answer: LCM of Numerators as per given numbers 223/66, 547/2700 is

LCM of Numerators i.e. for 223,547 is 121981

GCF of denominators i.e. for 66,2700 is 6.

Thus, LCM of Fractions is 121981/6.Finally, LCM of Fractions for 223/66, 547/2700 is 121981/6.