Least Common Multiple of 41/924, 79/579, 320/409

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 41/924, 79/579, 320/409 quickly i.e. 1036480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 41/924, 79/579, 320/409 is 1036480.

LCM(41/924, 79/579, 320/409) = 1036480

LCM of 41/924, 79/579, 320/409

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 41/924,79/579,320/409

Given numbers are 41/924,79/579,320/409

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 41,79,320

Least Common Multiple of Numerators i.e. LCM of 41,79,320 is 1036480.

GCF of Denominators means GCF of 924,579,409 as per the given fractions.

GCF of 924,579,409 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 41,79,320

LCM of Fractions 41/924,79/579,320/409 is 1036480

Given numbers has no common factors except 1. So, there LCM is their product i.e 1036480

Least Common Multiple of 41,79,320 with GCF Formula

Least Common Multiple of 41,79,320 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 41,79,320 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,79,320) = 1

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

GCF(41,79,320) x common factors =1 x 1 = 1

LCM(41,79,320) = ( 41 × 79 × 320 ) / 1

LCM(41,79,320) = 1036480 / 1

LCM(41,79,320) = 1036480


Lets's calculate GCF of 924,579,409

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1036480/1

Therefore the LCM of Fractions 41/924,79/579,320/409 is 1036480

Greatest Common Factor of 924,579,409 By Matching Biggest Common Factor Method

Greatest Common Factor of 924,579,409 By Matching Biggest Common Factor Method

Factors of 924

List of positive integer factors of 924 that divides 924 without a remainder.

1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924

Factors of 579

List of positive integer factors of 579 that divides 579 without a remainder.

1,3,193,579

Factors of 409

List of positive integer factors of 409 that divides 409 without a remainder.

1,409

Greatest Common Factor

We found the factors 924,579,409 . The biggest common factor number is the GCF number.
So the greatest common factor 924,579,409 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 41/924, 79/579, 320/409

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 41/924, 79/579, 320/409?

Answer: LCM of Numerators as per given numbers 41/924, 79/579, 320/409 is

LCM of Numerators i.e. for 41,79,320 is 1036480

GCF of denominators i.e. for 924,579,409 is 1.

Thus, LCM of Fractions is 1036480.Finally, LCM of Fractions for 41/924, 79/579, 320/409 is 1036480.