Least Common Multiple of 64/62, 52/74, 47/626

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 64/62, 52/74, 47/626 quickly i.e. 19552 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/62, 52/74, 47/626 is 19552.

LCM(64/62, 52/74, 47/626) = 19552

LCM of 64/62, 52/74, 47/626

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 64/62,52/74,47/626

Given numbers are 64/62,52/74,47/626

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 64,52,47

Least Common Multiple of Numerators i.e. LCM of 64,52,47 is 39104.

GCF of Denominators means GCF of 62,74,626 as per the given fractions.

GCF of 62,74,626 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,52,47

LCM of Fractions 64/62,52/74,47/626 is 19552

2 64, 52, 47
2 32, 26, 47
16, 13, 47

∴ So the LCM of the given numbers is 2 x 2 x 16 x 13 x 47 = 39104

Least Common Multiple of 64,52,47 with GCF Formula

Least Common Multiple of 64,52,47 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 64,52,47 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,52,47) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(64,52,47) x common factors =1 x 4 = 4

LCM(64,52,47) = ( 64 × 52 × 47 ) / 4

LCM(64,52,47) = 156416 / 4

LCM(64,52,47) = 39104


Lets's calculate GCF of 62,74,626

2 62, 74, 626
31, 37, 313

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39104/2

Therefore the LCM of Fractions 64/62,52/74,47/626 is 19552

Greatest Common Factor of 62,74,626 By Matching Biggest Common Factor Method

Greatest Common Factor of 62,74,626 By Matching Biggest Common Factor Method

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 626

List of positive integer factors of 626 that divides 626 without a remainder.

1,2,313,626

Greatest Common Factor

We found the factors 62,74,626 . The biggest common factor number is the GCF number.
So the greatest common factor 62,74,626 is 2.


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Frequently Asked Questions on Fractional LCM of 64/62, 52/74, 47/626

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 64/62, 52/74, 47/626?

Answer: LCM of Numerators as per given numbers 64/62, 52/74, 47/626 is

LCM of Numerators i.e. for 64,52,47 is 39104

GCF of denominators i.e. for 62,74,626 is 2.

Thus, LCM of Fractions is 19552.Finally, LCM of Fractions for 64/62, 52/74, 47/626 is 19552.