Least Common Multiple of 1395/884, 7285/4040

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1395/884, 7285/4040 quickly i.e. 65565/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1395/884, 7285/4040 is 65565/4.

LCM(1395/884, 7285/4040) = 65565/4

LCM of 1395/884, 7285/4040

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 1395/884,7285/4040

Given numbers are 1395/884,7285/4040

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 1395,7285

Least Common Multiple of Numerators i.e. LCM of 1395,7285 is 65565.

GCF of Denominators means GCF of 884,4040 as per the given fractions.

GCF of 884,4040 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1395,7285

LCM of Fractions 1395/884,7285/4040 is 65565/4

5 1395, 7285
31 279, 1457
9, 47

∴ So the LCM of the given numbers is 5 x 31 x 9 x 47 = 65565

Least Common Multiple of 1395,7285 with GCF Formula

Least Common Multiple of 1395,7285 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 1395,7285 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1395,7285) = 155

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

GCF(1395,7285) x common factors =155 x 1 = 155

LCM(1395,7285) = ( 1395 × 7285 ) / 155

LCM(1395,7285) = 10162575 / 155

LCM(1395,7285) = 65565


Lets's calculate GCF of 884,4040

2 884, 4040
2 442, 2020
221, 1010

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 65565/4

Therefore the LCM of Fractions 1395/884,7285/4040 is 65565/4

Greatest Common Factor of 884,4040 By Matching Biggest Common Factor Method

Greatest Common Factor of 884,4040 By Matching Biggest Common Factor Method

Factors of 884

List of positive integer factors of 884 that divides 884 without a remainder.

1,2,4,13,17,26,34,52,68,221,442,884

Factors of 4040

List of positive integer factors of 4040 that divides 4040 without a remainder.

1,2,4,5,8,10,20,40,101,202,404,505,808,1010,2020,4040

Greatest Common Factor

We found the factors 884,4040 . The biggest common factor number is the GCF number.
So the greatest common factor 884,4040 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 1395/884, 7285/4040

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 1395/884, 7285/4040?

Answer: LCM of Numerators as per given numbers 1395/884, 7285/4040 is

LCM of Numerators i.e. for 1395,7285 is 65565

GCF of denominators i.e. for 884,4040 is 4.

Thus, LCM of Fractions is 65565/4.Finally, LCM of Fractions for 1395/884, 7285/4040 is 65565/4.