Least Common Multiple of 299/95, 638/14, 247/223

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 299/95, 638/14, 247/223 quickly i.e. 3624478 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 299/95, 638/14, 247/223 is 3624478.

LCM(299/95, 638/14, 247/223) = 3624478

LCM of 299/95, 638/14, 247/223

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 299/95,638/14,247/223

Given numbers are 299/95,638/14,247/223

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 299,638,247

Least Common Multiple of Numerators i.e. LCM of 299,638,247 is 3624478.

GCF of Denominators means GCF of 95,14,223 as per the given fractions.

GCF of 95,14,223 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 299,638,247

LCM of Fractions 299/95,638/14,247/223 is 3624478

13 299, 638, 247
23, 638, 19

∴ So the LCM of the given numbers is 13 x 23 x 638 x 19 = 3624478

Least Common Multiple of 299,638,247 with GCF Formula

Least Common Multiple of 299,638,247 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 299,638,247 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(299,638,247) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(299,638,247) x common factors =1 x 13 = 13

LCM(299,638,247) = ( 299 × 638 × 247 ) / 13

LCM(299,638,247) = 47118214 / 13

LCM(299,638,247) = 3624478


Lets's calculate GCF of 95,14,223

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3624478/1

Therefore the LCM of Fractions 299/95,638/14,247/223 is 3624478

Greatest Common Factor of 95,14,223 By Matching Biggest Common Factor Method

Greatest Common Factor of 95,14,223 By Matching Biggest Common Factor Method

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

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 95,14,223 . The biggest common factor number is the GCF number.
So the greatest common factor 95,14,223 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 299/95, 638/14, 247/223

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 299/95, 638/14, 247/223?

Answer: LCM of Numerators as per given numbers 299/95, 638/14, 247/223 is

LCM of Numerators i.e. for 299,638,247 is 3624478

GCF of denominators i.e. for 95,14,223 is 1.

Thus, LCM of Fractions is 3624478.Finally, LCM of Fractions for 299/95, 638/14, 247/223 is 3624478.