Least Common Multiple of 47/62, 62/26, 10/838

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 47/62, 62/26, 10/838 quickly i.e. 7285 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 47/62, 62/26, 10/838 is 7285.

LCM(47/62, 62/26, 10/838) = 7285

LCM of 47/62, 62/26, 10/838

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 47/62,62/26,10/838

Given numbers are 47/62,62/26,10/838

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 47,62,10

Least Common Multiple of Numerators i.e. LCM of 47,62,10 is 14570.

GCF of Denominators means GCF of 62,26,838 as per the given fractions.

GCF of 62,26,838 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 47,62,10

LCM of Fractions 47/62,62/26,10/838 is 7285

2 47, 62, 10
47, 31, 5

∴ So the LCM of the given numbers is 2 x 47 x 31 x 5 = 14570

Least Common Multiple of 47,62,10 with GCF Formula

Least Common Multiple of 47,62,10 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 47,62,10 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,62,10) = 1

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

GCF(47,62,10) x common factors =1 x 2 = 2

LCM(47,62,10) = ( 47 × 62 × 10 ) / 2

LCM(47,62,10) = 29140 / 2

LCM(47,62,10) = 14570


Lets's calculate GCF of 62,26,838

2 62, 26, 838
31, 13, 419

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14570/2

Therefore the LCM of Fractions 47/62,62/26,10/838 is 7285

Greatest Common Factor of 62,26,838 By Matching Biggest Common Factor Method

Greatest Common Factor of 62,26,838 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 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 838

List of positive integer factors of 838 that divides 838 without a remainder.

1,2,419,838

Greatest Common Factor

We found the factors 62,26,838 . The biggest common factor number is the GCF number.
So the greatest common factor 62,26,838 is 2.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 47/62, 62/26, 10/838

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 47/62, 62/26, 10/838?

Answer: LCM of Numerators as per given numbers 47/62, 62/26, 10/838 is

LCM of Numerators i.e. for 47,62,10 is 14570

GCF of denominators i.e. for 62,26,838 is 2.

Thus, LCM of Fractions is 7285.Finally, LCM of Fractions for 47/62, 62/26, 10/838 is 7285.