Least Common Multiple of 67/915, 96/357, 871/365

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/915, 96/357, 871/365 quickly i.e. 83616 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/915, 96/357, 871/365 is 83616.

LCM(67/915, 96/357, 871/365) = 83616

LCM of 67/915, 96/357, 871/365

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 67/915,96/357,871/365

Given numbers are 67/915,96/357,871/365

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 67,96,871

Least Common Multiple of Numerators i.e. LCM of 67,96,871 is 83616.

GCF of Denominators means GCF of 915,357,365 as per the given fractions.

GCF of 915,357,365 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,96,871

LCM of Fractions 67/915,96/357,871/365 is 83616

67 67, 96, 871
1, 96, 13

∴ So the LCM of the given numbers is 67 x 1 x 96 x 13 = 83616

Least Common Multiple of 67,96,871 with GCF Formula

Least Common Multiple of 67,96,871 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 67,96,871 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,96,871) = 1

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

GCF(67,96,871) x common factors =1 x 67 = 67

LCM(67,96,871) = ( 67 × 96 × 871 ) / 67

LCM(67,96,871) = 5602272 / 67

LCM(67,96,871) = 83616


Lets's calculate GCF of 915,357,365

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 83616/1

Therefore the LCM of Fractions 67/915,96/357,871/365 is 83616

Greatest Common Factor of 915,357,365 By Matching Biggest Common Factor Method

Greatest Common Factor of 915,357,365 By Matching Biggest Common Factor Method

Factors of 915

List of positive integer factors of 915 that divides 915 without a remainder.

1,3,5,15,61,183,305,915

Factors of 357

List of positive integer factors of 357 that divides 357 without a remainder.

1,3,7,17,21,51,119,357

Factors of 365

List of positive integer factors of 365 that divides 365 without a remainder.

1,5,73,365

Greatest Common Factor

We found the factors 915,357,365 . The biggest common factor number is the GCF number.
So the greatest common factor 915,357,365 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 67/915, 96/357, 871/365

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 67/915, 96/357, 871/365?

Answer: LCM of Numerators as per given numbers 67/915, 96/357, 871/365 is

LCM of Numerators i.e. for 67,96,871 is 83616

GCF of denominators i.e. for 915,357,365 is 1.

Thus, LCM of Fractions is 83616.Finally, LCM of Fractions for 67/915, 96/357, 871/365 is 83616.