Least Common Multiple of 14/44, 712/79, 722/223

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 14/44, 712/79, 722/223 quickly i.e. 1799224 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/44, 712/79, 722/223 is 1799224.

LCM(14/44, 712/79, 722/223) = 1799224

LCM of 14/44, 712/79, 722/223

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 14/44,712/79,722/223

Given numbers are 14/44,712/79,722/223

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 14,712,722

Least Common Multiple of Numerators i.e. LCM of 14,712,722 is 1799224.

GCF of Denominators means GCF of 44,79,223 as per the given fractions.

GCF of 44,79,223 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,712,722

LCM of Fractions 14/44,712/79,722/223 is 1799224

2 14, 712, 722
7, 356, 361

∴ So the LCM of the given numbers is 2 x 7 x 356 x 361 = 1799224

Least Common Multiple of 14,712,722 with GCF Formula

Least Common Multiple of 14,712,722 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 14,712,722 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,712,722) = 2

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

GCF(14,712,722) x common factors =2 x 2 = 4

LCM(14,712,722) = ( 14 × 712 × 722 ) / 4

LCM(14,712,722) = 7196896 / 4

LCM(14,712,722) = 1799224


Lets's calculate GCF of 44,79,223

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1799224/1

Therefore the LCM of Fractions 14/44,712/79,722/223 is 1799224

Greatest Common Factor of 44,79,223 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,79,223 By Matching Biggest Common Factor Method

Factors of 44

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

1,2,4,11,22,44

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 223

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

1,223

Greatest Common Factor

We found the factors 44,79,223 . The biggest common factor number is the GCF number.
So the greatest common factor 44,79,223 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 14/44, 712/79, 722/223

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 14/44, 712/79, 722/223?

Answer: LCM of Numerators as per given numbers 14/44, 712/79, 722/223 is

LCM of Numerators i.e. for 14,712,722 is 1799224

GCF of denominators i.e. for 44,79,223 is 1.

Thus, LCM of Fractions is 1799224.Finally, LCM of Fractions for 14/44, 712/79, 722/223 is 1799224.