Least Common Multiple of 29/908, 469/221, 871/465

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 29/908, 469/221, 871/465 quickly i.e. 176813 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/908, 469/221, 871/465 is 176813.

LCM(29/908, 469/221, 871/465) = 176813

LCM of 29/908, 469/221, 871/465

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 29/908,469/221,871/465

Given numbers are 29/908,469/221,871/465

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 29,469,871

Least Common Multiple of Numerators i.e. LCM of 29,469,871 is 176813.

GCF of Denominators means GCF of 908,221,465 as per the given fractions.

GCF of 908,221,465 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,469,871

LCM of Fractions 29/908,469/221,871/465 is 176813

67 29, 469, 871
29, 7, 13

∴ So the LCM of the given numbers is 67 x 29 x 7 x 13 = 176813

Least Common Multiple of 29,469,871 with GCF Formula

Least Common Multiple of 29,469,871 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 29,469,871 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,469,871) = 1

common factors(in case of two or more numbers have common factors) = 67

GCF(29,469,871) x common factors =1 x 67 = 67

LCM(29,469,871) = ( 29 × 469 × 871 ) / 67

LCM(29,469,871) = 11846471 / 67

LCM(29,469,871) = 176813


Lets's calculate GCF of 908,221,465

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 176813/1

Therefore the LCM of Fractions 29/908,469/221,871/465 is 176813

Greatest Common Factor of 908,221,465 By Matching Biggest Common Factor Method

Greatest Common Factor of 908,221,465 By Matching Biggest Common Factor Method

Factors of 908

List of positive integer factors of 908 that divides 908 without a remainder.

1,2,4,227,454,908

Factors of 221

List of positive integer factors of 221 that divides 221 without a remainder.

1,13,17,221

Factors of 465

List of positive integer factors of 465 that divides 465 without a remainder.

1,3,5,15,31,93,155,465

Greatest Common Factor

We found the factors 908,221,465 . The biggest common factor number is the GCF number.
So the greatest common factor 908,221,465 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 29/908, 469/221, 871/465

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 29/908, 469/221, 871/465?

Answer: LCM of Numerators as per given numbers 29/908, 469/221, 871/465 is

LCM of Numerators i.e. for 29,469,871 is 176813

GCF of denominators i.e. for 908,221,465 is 1.

Thus, LCM of Fractions is 176813.Finally, LCM of Fractions for 29/908, 469/221, 871/465 is 176813.