Least Common Multiple of 752/39, 224/16, 606/886

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 752/39, 224/16, 606/886 quickly i.e. 3189984 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 752/39, 224/16, 606/886 is 3189984.

LCM(752/39, 224/16, 606/886) = 3189984

LCM of 752/39, 224/16, 606/886

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 752/39,224/16,606/886

Given numbers are 752/39,224/16,606/886

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 752,224,606

Least Common Multiple of Numerators i.e. LCM of 752,224,606 is 3189984.

GCF of Denominators means GCF of 39,16,886 as per the given fractions.

GCF of 39,16,886 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 752,224,606

LCM of Fractions 752/39,224/16,606/886 is 3189984

2 752, 224, 606
2 376, 112, 303
2 188, 56, 303
2 94, 28, 303
47, 14, 303

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 47 x 14 x 303 = 3189984

Least Common Multiple of 752,224,606 with GCF Formula

Least Common Multiple of 752,224,606 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 752,224,606 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(752,224,606) = 2

common factors(in case of two or more numbers have common factors) = 16

GCF(752,224,606) x common factors =2 x 16 = 32

LCM(752,224,606) = ( 752 × 224 × 606 ) / 32

LCM(752,224,606) = 102079488 / 32

LCM(752,224,606) = 3189984


Lets's calculate GCF of 39,16,886

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3189984/1

Therefore the LCM of Fractions 752/39,224/16,606/886 is 3189984

Greatest Common Factor of 39,16,886 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,16,886 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 886

List of positive integer factors of 886 that divides 886 without a remainder.

1,2,443,886

Greatest Common Factor

We found the factors 39,16,886 . The biggest common factor number is the GCF number.
So the greatest common factor 39,16,886 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 752/39, 224/16, 606/886

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 752/39, 224/16, 606/886?

Answer: LCM of Numerators as per given numbers 752/39, 224/16, 606/886 is

LCM of Numerators i.e. for 752,224,606 is 3189984

GCF of denominators i.e. for 39,16,886 is 1.

Thus, LCM of Fractions is 3189984.Finally, LCM of Fractions for 752/39, 224/16, 606/886 is 3189984.