Least Common Multiple of 71/82, 571/51, 365/856

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 71/82, 571/51, 365/856 quickly i.e. 14797465 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/82, 571/51, 365/856 is 14797465.

LCM(71/82, 571/51, 365/856) = 14797465

LCM of 71/82, 571/51, 365/856

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 71/82,571/51,365/856

Given numbers are 71/82,571/51,365/856

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 71,571,365

Least Common Multiple of Numerators i.e. LCM of 71,571,365 is 14797465.

GCF of Denominators means GCF of 82,51,856 as per the given fractions.

GCF of 82,51,856 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,571,365

LCM of Fractions 71/82,571/51,365/856 is 14797465

Given numbers has no common factors except 1. So, there LCM is their product i.e 14797465

Least Common Multiple of 71,571,365 with GCF Formula

Least Common Multiple of 71,571,365 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 71,571,365 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,571,365) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(71,571,365) x common factors =1 x 1 = 1

LCM(71,571,365) = ( 71 × 571 × 365 ) / 1

LCM(71,571,365) = 14797465 / 1

LCM(71,571,365) = 14797465


Lets's calculate GCF of 82,51,856

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14797465/1

Therefore the LCM of Fractions 71/82,571/51,365/856 is 14797465

Greatest Common Factor of 82,51,856 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,51,856 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 856

List of positive integer factors of 856 that divides 856 without a remainder.

1,2,4,8,107,214,428,856

Greatest Common Factor

We found the factors 82,51,856 . The biggest common factor number is the GCF number.
So the greatest common factor 82,51,856 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 71/82, 571/51, 365/856

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 71/82, 571/51, 365/856?

Answer: LCM of Numerators as per given numbers 71/82, 571/51, 365/856 is

LCM of Numerators i.e. for 71,571,365 is 14797465

GCF of denominators i.e. for 82,51,856 is 1.

Thus, LCM of Fractions is 14797465.Finally, LCM of Fractions for 71/82, 571/51, 365/856 is 14797465.