Least Common Multiple of 706/81, 803/852

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 706/81, 803/852 quickly i.e. 566918/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 706/81, 803/852 is 566918/3.

LCM(706/81, 803/852) = 566918/3

LCM of 706/81, 803/852

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 706/81,803/852

Given numbers are 706/81,803/852

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 706,803

Least Common Multiple of Numerators i.e. LCM of 706,803 is 566918.

GCF of Denominators means GCF of 81,852 as per the given fractions.

GCF of 81,852 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 706,803

LCM of Fractions 706/81,803/852 is 566918/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 566918

Least Common Multiple of 706,803 with GCF Formula

Least Common Multiple of 706,803 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 706,803 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(706,803) = 1

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

GCF(706,803) x common factors =1 x 1 = 1

LCM(706,803) = ( 706 × 803 ) / 1

LCM(706,803) = 566918 / 1

LCM(706,803) = 566918


Lets's calculate GCF of 81,852

3 81, 852
27, 284

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 566918/3

Therefore the LCM of Fractions 706/81,803/852 is 566918/3

Greatest Common Factor of 81,852 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,852 By Matching Biggest Common Factor Method

Factors of 81

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

1,3,9,27,81

Factors of 852

List of positive integer factors of 852 that divides 852 without a remainder.

1,2,3,4,6,12,71,142,213,284,426,852

Greatest Common Factor

We found the factors 81,852 . The biggest common factor number is the GCF number.
So the greatest common factor 81,852 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 706/81, 803/852

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 706/81, 803/852?

Answer: LCM of Numerators as per given numbers 706/81, 803/852 is

LCM of Numerators i.e. for 706,803 is 566918

GCF of denominators i.e. for 81,852 is 3.

Thus, LCM of Fractions is 566918/3.Finally, LCM of Fractions for 706/81, 803/852 is 566918/3.