Least Common Multiple of 4744/815, 9440/365

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4744/815, 9440/365 quickly i.e. 1119584 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4744/815, 9440/365 is 1119584.

LCM(4744/815, 9440/365) = 1119584

LCM of 4744/815, 9440/365

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 4744/815,9440/365

Given numbers are 4744/815,9440/365

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 4744,9440

Least Common Multiple of Numerators i.e. LCM of 4744,9440 is 5597920.

GCF of Denominators means GCF of 815,365 as per the given fractions.

GCF of 815,365 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4744,9440

LCM of Fractions 4744/815,9440/365 is 1119584

2 4744, 9440
2 2372, 4720
2 1186, 2360
593, 1180

∴ So the LCM of the given numbers is 2 x 2 x 2 x 593 x 1180 = 5597920

Least Common Multiple of 4744,9440 with GCF Formula

Least Common Multiple of 4744,9440 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 4744,9440 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4744,9440) = 8

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

GCF(4744,9440) x common factors =8 x 1 = 8

LCM(4744,9440) = ( 4744 × 9440 ) / 8

LCM(4744,9440) = 44783360 / 8

LCM(4744,9440) = 5597920


Lets's calculate GCF of 815,365

5 815, 365
163, 73

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5597920/5

Therefore the LCM of Fractions 4744/815,9440/365 is 1119584

Greatest Common Factor of 815,365 By Matching Biggest Common Factor Method

Greatest Common Factor of 815,365 By Matching Biggest Common Factor Method

Factors of 815

List of positive integer factors of 815 that divides 815 without a remainder.

1,5,163,815

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 815,365 . The biggest common factor number is the GCF number.
So the greatest common factor 815,365 is 5.


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 4744/815, 9440/365

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 4744/815, 9440/365?

Answer: LCM of Numerators as per given numbers 4744/815, 9440/365 is

LCM of Numerators i.e. for 4744,9440 is 5597920

GCF of denominators i.e. for 815,365 is 5.

Thus, LCM of Fractions is 1119584.Finally, LCM of Fractions for 4744/815, 9440/365 is 1119584.