Least Common Multiple of 10/806, 471/541, 385/271

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 10/806, 471/541, 385/271 quickly i.e. 362670 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/806, 471/541, 385/271 is 362670.

LCM(10/806, 471/541, 385/271) = 362670

LCM of 10/806, 471/541, 385/271

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 10/806,471/541,385/271

Given numbers are 10/806,471/541,385/271

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 10,471,385

Least Common Multiple of Numerators i.e. LCM of 10,471,385 is 362670.

GCF of Denominators means GCF of 806,541,271 as per the given fractions.

GCF of 806,541,271 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,471,385

LCM of Fractions 10/806,471/541,385/271 is 362670

5 10, 471, 385
2, 471, 77

∴ So the LCM of the given numbers is 5 x 2 x 471 x 77 = 362670

Least Common Multiple of 10,471,385 with GCF Formula

Least Common Multiple of 10,471,385 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 10,471,385 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,471,385) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(10,471,385) x common factors =1 x 5 = 5

LCM(10,471,385) = ( 10 × 471 × 385 ) / 5

LCM(10,471,385) = 1813350 / 5

LCM(10,471,385) = 362670


Lets's calculate GCF of 806,541,271

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 362670/1

Therefore the LCM of Fractions 10/806,471/541,385/271 is 362670

Greatest Common Factor of 806,541,271 By Matching Biggest Common Factor Method

Greatest Common Factor of 806,541,271 By Matching Biggest Common Factor Method

Factors of 806

List of positive integer factors of 806 that divides 806 without a remainder.

1,2,13,26,31,62,403,806

Factors of 541

List of positive integer factors of 541 that divides 541 without a remainder.

1,541

Factors of 271

List of positive integer factors of 271 that divides 271 without a remainder.

1,271

Greatest Common Factor

We found the factors 806,541,271 . The biggest common factor number is the GCF number.
So the greatest common factor 806,541,271 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 10/806, 471/541, 385/271

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 10/806, 471/541, 385/271?

Answer: LCM of Numerators as per given numbers 10/806, 471/541, 385/271 is

LCM of Numerators i.e. for 10,471,385 is 362670

GCF of denominators i.e. for 806,541,271 is 1.

Thus, LCM of Fractions is 362670.Finally, LCM of Fractions for 10/806, 471/541, 385/271 is 362670.