Least Common Multiple of 443/66, 247/44, 456/278

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 443/66, 247/44, 456/278 quickly i.e. 1313052 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 443/66, 247/44, 456/278 is 1313052.

LCM(443/66, 247/44, 456/278) = 1313052

LCM of 443/66, 247/44, 456/278

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 443/66,247/44,456/278

Given numbers are 443/66,247/44,456/278

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 443,247,456

Least Common Multiple of Numerators i.e. LCM of 443,247,456 is 2626104.

GCF of Denominators means GCF of 66,44,278 as per the given fractions.

GCF of 66,44,278 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 443,247,456

LCM of Fractions 443/66,247/44,456/278 is 1313052

19 443, 247, 456
443, 13, 24

∴ So the LCM of the given numbers is 19 x 443 x 13 x 24 = 2626104

Least Common Multiple of 443,247,456 with GCF Formula

Least Common Multiple of 443,247,456 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 443,247,456 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(443,247,456) = 1

common factors(in case of two or more numbers have common factors) = 19

GCF(443,247,456) x common factors =1 x 19 = 19

LCM(443,247,456) = ( 443 × 247 × 456 ) / 19

LCM(443,247,456) = 49895976 / 19

LCM(443,247,456) = 2626104


Lets's calculate GCF of 66,44,278

2 66, 44, 278
33, 22, 139

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2626104/2

Therefore the LCM of Fractions 443/66,247/44,456/278 is 1313052

Greatest Common Factor of 66,44,278 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,44,278 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 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 278

List of positive integer factors of 278 that divides 278 without a remainder.

1,2,139,278

Greatest Common Factor

We found the factors 66,44,278 . The biggest common factor number is the GCF number.
So the greatest common factor 66,44,278 is 2.


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 443/66, 247/44, 456/278

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 443/66, 247/44, 456/278?

Answer: LCM of Numerators as per given numbers 443/66, 247/44, 456/278 is

LCM of Numerators i.e. for 443,247,456 is 2626104

GCF of denominators i.e. for 66,44,278 is 2.

Thus, LCM of Fractions is 1313052.Finally, LCM of Fractions for 443/66, 247/44, 456/278 is 1313052.