Least Common Multiple of 38/774, 593/808, 240/956

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/774, 593/808, 240/956 quickly i.e. 1352040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/774, 593/808, 240/956 is 1352040.

LCM(38/774, 593/808, 240/956) = 1352040

LCM of 38/774, 593/808, 240/956

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 38/774,593/808,240/956

Given numbers are 38/774,593/808,240/956

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 38,593,240

Least Common Multiple of Numerators i.e. LCM of 38,593,240 is 2704080.

GCF of Denominators means GCF of 774,808,956 as per the given fractions.

GCF of 774,808,956 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,593,240

LCM of Fractions 38/774,593/808,240/956 is 1352040

2 38, 593, 240
19, 593, 120

∴ So the LCM of the given numbers is 2 x 19 x 593 x 120 = 2704080

Least Common Multiple of 38,593,240 with GCF Formula

Least Common Multiple of 38,593,240 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 38,593,240 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,593,240) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(38,593,240) x common factors =1 x 2 = 2

LCM(38,593,240) = ( 38 × 593 × 240 ) / 2

LCM(38,593,240) = 5408160 / 2

LCM(38,593,240) = 2704080


Lets's calculate GCF of 774,808,956

2 774, 808, 956
387, 404, 478

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2704080/2

Therefore the LCM of Fractions 38/774,593/808,240/956 is 1352040

Greatest Common Factor of 774,808,956 By Matching Biggest Common Factor Method

Greatest Common Factor of 774,808,956 By Matching Biggest Common Factor Method

Factors of 774

List of positive integer factors of 774 that divides 774 without a remainder.

1,2,3,6,9,18,43,86,129,258,387,774

Factors of 808

List of positive integer factors of 808 that divides 808 without a remainder.

1,2,4,8,101,202,404,808

Factors of 956

List of positive integer factors of 956 that divides 956 without a remainder.

1,2,4,239,478,956

Greatest Common Factor

We found the factors 774,808,956 . The biggest common factor number is the GCF number.
So the greatest common factor 774,808,956 is 2.


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 38/774, 593/808, 240/956

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 38/774, 593/808, 240/956?

Answer: LCM of Numerators as per given numbers 38/774, 593/808, 240/956 is

LCM of Numerators i.e. for 38,593,240 is 2704080

GCF of denominators i.e. for 774,808,956 is 2.

Thus, LCM of Fractions is 1352040.Finally, LCM of Fractions for 38/774, 593/808, 240/956 is 1352040.