Least Common Multiple of 827/78, 134/90, 806/845

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 827/78, 134/90, 806/845 quickly i.e. 44659654 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 827/78, 134/90, 806/845 is 44659654.

LCM(827/78, 134/90, 806/845) = 44659654

LCM of 827/78, 134/90, 806/845

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 827/78,134/90,806/845

Given numbers are 827/78,134/90,806/845

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 827,134,806

Least Common Multiple of Numerators i.e. LCM of 827,134,806 is 44659654.

GCF of Denominators means GCF of 78,90,845 as per the given fractions.

GCF of 78,90,845 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 827,134,806

LCM of Fractions 827/78,134/90,806/845 is 44659654

2 827, 134, 806
827, 67, 403

∴ So the LCM of the given numbers is 2 x 827 x 67 x 403 = 44659654

Least Common Multiple of 827,134,806 with GCF Formula

Least Common Multiple of 827,134,806 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 827,134,806 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(827,134,806) = 1

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

GCF(827,134,806) x common factors =1 x 2 = 2

LCM(827,134,806) = ( 827 × 134 × 806 ) / 2

LCM(827,134,806) = 89319308 / 2

LCM(827,134,806) = 44659654


Lets's calculate GCF of 78,90,845

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44659654/1

Therefore the LCM of Fractions 827/78,134/90,806/845 is 44659654

Greatest Common Factor of 78,90,845 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,90,845 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 845

List of positive integer factors of 845 that divides 845 without a remainder.

1,5,13,65,169,845

Greatest Common Factor

We found the factors 78,90,845 . The biggest common factor number is the GCF number.
So the greatest common factor 78,90,845 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 827/78, 134/90, 806/845

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 827/78, 134/90, 806/845?

Answer: LCM of Numerators as per given numbers 827/78, 134/90, 806/845 is

LCM of Numerators i.e. for 827,134,806 is 44659654

GCF of denominators i.e. for 78,90,845 is 1.

Thus, LCM of Fractions is 44659654.Finally, LCM of Fractions for 827/78, 134/90, 806/845 is 44659654.