Least Common Multiple of 66/223, 52/999, 769/543

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 66/223, 52/999, 769/543 quickly i.e. 1319604 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/223, 52/999, 769/543 is 1319604.

LCM(66/223, 52/999, 769/543) = 1319604

LCM of 66/223, 52/999, 769/543

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 66/223,52/999,769/543

Given numbers are 66/223,52/999,769/543

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 66,52,769

Least Common Multiple of Numerators i.e. LCM of 66,52,769 is 1319604.

GCF of Denominators means GCF of 223,999,543 as per the given fractions.

GCF of 223,999,543 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,52,769

LCM of Fractions 66/223,52/999,769/543 is 1319604

2 66, 52, 769
33, 26, 769

∴ So the LCM of the given numbers is 2 x 33 x 26 x 769 = 1319604

Least Common Multiple of 66,52,769 with GCF Formula

Least Common Multiple of 66,52,769 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 66,52,769 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,52,769) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(66,52,769) x common factors =1 x 2 = 2

LCM(66,52,769) = ( 66 × 52 × 769 ) / 2

LCM(66,52,769) = 2639208 / 2

LCM(66,52,769) = 1319604


Lets's calculate GCF of 223,999,543

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1319604/1

Therefore the LCM of Fractions 66/223,52/999,769/543 is 1319604

Greatest Common Factor of 223,999,543 By Matching Biggest Common Factor Method

Greatest Common Factor of 223,999,543 By Matching Biggest Common Factor Method

Factors of 223

List of positive integer factors of 223 that divides 223 without a remainder.

1,223

Factors of 999

List of positive integer factors of 999 that divides 999 without a remainder.

1,3,9,27,37,111,333,999

Factors of 543

List of positive integer factors of 543 that divides 543 without a remainder.

1,3,181,543

Greatest Common Factor

We found the factors 223,999,543 . The biggest common factor number is the GCF number.
So the greatest common factor 223,999,543 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 66/223, 52/999, 769/543

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 66/223, 52/999, 769/543?

Answer: LCM of Numerators as per given numbers 66/223, 52/999, 769/543 is

LCM of Numerators i.e. for 66,52,769 is 1319604

GCF of denominators i.e. for 223,999,543 is 1.

Thus, LCM of Fractions is 1319604.Finally, LCM of Fractions for 66/223, 52/999, 769/543 is 1319604.