Least Common Multiple of 71/475, 149/805, 865/575

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/475, 149/805, 865/575 quickly i.e. 1830167 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/475, 149/805, 865/575 is 1830167.

LCM(71/475, 149/805, 865/575) = 1830167

LCM of 71/475, 149/805, 865/575

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 71/475,149/805,865/575

Given numbers are 71/475,149/805,865/575

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 71,149,865

Least Common Multiple of Numerators i.e. LCM of 71,149,865 is 9150835.

GCF of Denominators means GCF of 475,805,575 as per the given fractions.

GCF of 475,805,575 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,149,865

LCM of Fractions 71/475,149/805,865/575 is 1830167

Given numbers has no common factors except 1. So, there LCM is their product i.e 9150835

Least Common Multiple of 71,149,865 with GCF Formula

Least Common Multiple of 71,149,865 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 71,149,865 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,149,865) = 1

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

GCF(71,149,865) x common factors =1 x 1 = 1

LCM(71,149,865) = ( 71 × 149 × 865 ) / 1

LCM(71,149,865) = 9150835 / 1

LCM(71,149,865) = 9150835


Lets's calculate GCF of 475,805,575

5 475, 805, 575
95, 161, 115

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9150835/5

Therefore the LCM of Fractions 71/475,149/805,865/575 is 1830167

Greatest Common Factor of 475,805,575 By Matching Biggest Common Factor Method

Greatest Common Factor of 475,805,575 By Matching Biggest Common Factor Method

Factors of 475

List of positive integer factors of 475 that divides 475 without a remainder.

1,5,19,25,95,475

Factors of 805

List of positive integer factors of 805 that divides 805 without a remainder.

1,5,7,23,35,115,161,805

Factors of 575

List of positive integer factors of 575 that divides 575 without a remainder.

1,5,23,25,115,575

Greatest Common Factor

We found the factors 475,805,575 . The biggest common factor number is the GCF number.
So the greatest common factor 475,805,575 is 5.


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 71/475, 149/805, 865/575

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 71/475, 149/805, 865/575?

Answer: LCM of Numerators as per given numbers 71/475, 149/805, 865/575 is

LCM of Numerators i.e. for 71,149,865 is 9150835

GCF of denominators i.e. for 475,805,575 is 5.

Thus, LCM of Fractions is 1830167.Finally, LCM of Fractions for 71/475, 149/805, 865/575 is 1830167.