Least Common Multiple of 87/447, 69/997, 317/165

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/447, 69/997, 317/165 quickly i.e. 634317 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/447, 69/997, 317/165 is 634317.

LCM(87/447, 69/997, 317/165) = 634317

LCM of 87/447, 69/997, 317/165

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 87/447,69/997,317/165

Given numbers are 87/447,69/997,317/165

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 87,69,317

Least Common Multiple of Numerators i.e. LCM of 87,69,317 is 634317.

GCF of Denominators means GCF of 447,997,165 as per the given fractions.

GCF of 447,997,165 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,69,317

LCM of Fractions 87/447,69/997,317/165 is 634317

3 87, 69, 317
29, 23, 317

∴ So the LCM of the given numbers is 3 x 29 x 23 x 317 = 634317

Least Common Multiple of 87,69,317 with GCF Formula

Least Common Multiple of 87,69,317 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 87,69,317 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,69,317) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(87,69,317) x common factors =1 x 3 = 3

LCM(87,69,317) = ( 87 × 69 × 317 ) / 3

LCM(87,69,317) = 1902951 / 3

LCM(87,69,317) = 634317


Lets's calculate GCF of 447,997,165

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 634317/1

Therefore the LCM of Fractions 87/447,69/997,317/165 is 634317

Greatest Common Factor of 447,997,165 By Matching Biggest Common Factor Method

Greatest Common Factor of 447,997,165 By Matching Biggest Common Factor Method

Factors of 447

List of positive integer factors of 447 that divides 447 without a remainder.

1,3,149,447

Factors of 997

List of positive integer factors of 997 that divides 997 without a remainder.

1,997

Factors of 165

List of positive integer factors of 165 that divides 165 without a remainder.

1,3,5,11,15,33,55,165

Greatest Common Factor

We found the factors 447,997,165 . The biggest common factor number is the GCF number.
So the greatest common factor 447,997,165 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 87/447, 69/997, 317/165

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 87/447, 69/997, 317/165?

Answer: LCM of Numerators as per given numbers 87/447, 69/997, 317/165 is

LCM of Numerators i.e. for 87,69,317 is 634317

GCF of denominators i.e. for 447,997,165 is 1.

Thus, LCM of Fractions is 634317.Finally, LCM of Fractions for 87/447, 69/997, 317/165 is 634317.