Least Common Multiple of 71/469, 76/596, 869/324

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/469, 76/596, 869/324 quickly i.e. 4689124 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/469, 76/596, 869/324 is 4689124.

LCM(71/469, 76/596, 869/324) = 4689124

LCM of 71/469, 76/596, 869/324

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 71/469,76/596,869/324

Given numbers are 71/469,76/596,869/324

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 71,76,869

Least Common Multiple of Numerators i.e. LCM of 71,76,869 is 4689124.

GCF of Denominators means GCF of 469,596,324 as per the given fractions.

GCF of 469,596,324 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,76,869

LCM of Fractions 71/469,76/596,869/324 is 4689124

Given numbers has no common factors except 1. So, there LCM is their product i.e 4689124

Least Common Multiple of 71,76,869 with GCF Formula

Least Common Multiple of 71,76,869 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 71,76,869 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,76,869) = 1

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

GCF(71,76,869) x common factors =1 x 1 = 1

LCM(71,76,869) = ( 71 × 76 × 869 ) / 1

LCM(71,76,869) = 4689124 / 1

LCM(71,76,869) = 4689124


Lets's calculate GCF of 469,596,324

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4689124/1

Therefore the LCM of Fractions 71/469,76/596,869/324 is 4689124

Greatest Common Factor of 469,596,324 By Matching Biggest Common Factor Method

Greatest Common Factor of 469,596,324 By Matching Biggest Common Factor Method

Factors of 469

List of positive integer factors of 469 that divides 469 without a remainder.

1,7,67,469

Factors of 596

List of positive integer factors of 596 that divides 596 without a remainder.

1,2,4,149,298,596

Factors of 324

List of positive integer factors of 324 that divides 324 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,324

Greatest Common Factor

We found the factors 469,596,324 . The biggest common factor number is the GCF number.
So the greatest common factor 469,596,324 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 71/469, 76/596, 869/324

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 71/469, 76/596, 869/324?

Answer: LCM of Numerators as per given numbers 71/469, 76/596, 869/324 is

LCM of Numerators i.e. for 71,76,869 is 4689124

GCF of denominators i.e. for 469,596,324 is 1.

Thus, LCM of Fractions is 4689124.Finally, LCM of Fractions for 71/469, 76/596, 869/324 is 4689124.