Least Common Multiple of 371/54, 927/81, 812/35

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 371/54, 927/81, 812/35 quickly i.e. 39894372 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 371/54, 927/81, 812/35 is 39894372.

LCM(371/54, 927/81, 812/35) = 39894372

LCM of 371/54, 927/81, 812/35

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 371/54,927/81,812/35

Given numbers are 371/54,927/81,812/35

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 371,927,812

Least Common Multiple of Numerators i.e. LCM of 371,927,812 is 39894372.

GCF of Denominators means GCF of 54,81,35 as per the given fractions.

GCF of 54,81,35 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 371,927,812

LCM of Fractions 371/54,927/81,812/35 is 39894372

7 371, 927, 812
53, 927, 116

∴ So the LCM of the given numbers is 7 x 53 x 927 x 116 = 39894372

Least Common Multiple of 371,927,812 with GCF Formula

Least Common Multiple of 371,927,812 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 371,927,812 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(371,927,812) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(371,927,812) x common factors =1 x 7 = 7

LCM(371,927,812) = ( 371 × 927 × 812 ) / 7

LCM(371,927,812) = 279260604 / 7

LCM(371,927,812) = 39894372


Lets's calculate GCF of 54,81,35

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39894372/1

Therefore the LCM of Fractions 371/54,927/81,812/35 is 39894372

Greatest Common Factor of 54,81,35 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,81,35 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Greatest Common Factor

We found the factors 54,81,35 . The biggest common factor number is the GCF number.
So the greatest common factor 54,81,35 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 371/54, 927/81, 812/35

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 371/54, 927/81, 812/35?

Answer: LCM of Numerators as per given numbers 371/54, 927/81, 812/35 is

LCM of Numerators i.e. for 371,927,812 is 39894372

GCF of denominators i.e. for 54,81,35 is 1.

Thus, LCM of Fractions is 39894372.Finally, LCM of Fractions for 371/54, 927/81, 812/35 is 39894372.