Least Common Multiple of 17/824, 421/236, 752/320

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/824, 421/236, 752/320 quickly i.e. 1345516 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/824, 421/236, 752/320 is 1345516.

LCM(17/824, 421/236, 752/320) = 1345516

LCM of 17/824, 421/236, 752/320

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 17/824,421/236,752/320

Given numbers are 17/824,421/236,752/320

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 17,421,752

Least Common Multiple of Numerators i.e. LCM of 17,421,752 is 5382064.

GCF of Denominators means GCF of 824,236,320 as per the given fractions.

GCF of 824,236,320 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,421,752

LCM of Fractions 17/824,421/236,752/320 is 1345516

Given numbers has no common factors except 1. So, there LCM is their product i.e 5382064

Least Common Multiple of 17,421,752 with GCF Formula

Least Common Multiple of 17,421,752 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 17,421,752 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,421,752) = 1

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

GCF(17,421,752) x common factors =1 x 1 = 1

LCM(17,421,752) = ( 17 × 421 × 752 ) / 1

LCM(17,421,752) = 5382064 / 1

LCM(17,421,752) = 5382064


Lets's calculate GCF of 824,236,320

2 824, 236, 320
2 412, 118, 160
206, 59, 80

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5382064/4

Therefore the LCM of Fractions 17/824,421/236,752/320 is 1345516

Greatest Common Factor of 824,236,320 By Matching Biggest Common Factor Method

Greatest Common Factor of 824,236,320 By Matching Biggest Common Factor Method

Factors of 824

List of positive integer factors of 824 that divides 824 without a remainder.

1,2,4,8,103,206,412,824

Factors of 236

List of positive integer factors of 236 that divides 236 without a remainder.

1,2,4,59,118,236

Factors of 320

List of positive integer factors of 320 that divides 320 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,160,320

Greatest Common Factor

We found the factors 824,236,320 . The biggest common factor number is the GCF number.
So the greatest common factor 824,236,320 is 4.


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 17/824, 421/236, 752/320

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 17/824, 421/236, 752/320?

Answer: LCM of Numerators as per given numbers 17/824, 421/236, 752/320 is

LCM of Numerators i.e. for 17,421,752 is 5382064

GCF of denominators i.e. for 824,236,320 is 4.

Thus, LCM of Fractions is 1345516.Finally, LCM of Fractions for 17/824, 421/236, 752/320 is 1345516.