Least Common Multiple of 32/709, 590/774, 742/384

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 32/709, 590/774, 742/384 quickly i.e. 3502240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/709, 590/774, 742/384 is 3502240.

LCM(32/709, 590/774, 742/384) = 3502240

LCM of 32/709, 590/774, 742/384

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 32/709,590/774,742/384

Given numbers are 32/709,590/774,742/384

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 32,590,742

Least Common Multiple of Numerators i.e. LCM of 32,590,742 is 3502240.

GCF of Denominators means GCF of 709,774,384 as per the given fractions.

GCF of 709,774,384 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,590,742

LCM of Fractions 32/709,590/774,742/384 is 3502240

2 32, 590, 742
16, 295, 371

∴ So the LCM of the given numbers is 2 x 16 x 295 x 371 = 3502240

Least Common Multiple of 32,590,742 with GCF Formula

Least Common Multiple of 32,590,742 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 32,590,742 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,590,742) = 2

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

GCF(32,590,742) x common factors =2 x 2 = 4

LCM(32,590,742) = ( 32 × 590 × 742 ) / 4

LCM(32,590,742) = 14008960 / 4

LCM(32,590,742) = 3502240


Lets's calculate GCF of 709,774,384

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3502240/1

Therefore the LCM of Fractions 32/709,590/774,742/384 is 3502240

Greatest Common Factor of 709,774,384 By Matching Biggest Common Factor Method

Greatest Common Factor of 709,774,384 By Matching Biggest Common Factor Method

Factors of 709

List of positive integer factors of 709 that divides 709 without a remainder.

1,709

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 384

List of positive integer factors of 384 that divides 384 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384

Greatest Common Factor

We found the factors 709,774,384 . The biggest common factor number is the GCF number.
So the greatest common factor 709,774,384 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 32/709, 590/774, 742/384

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 32/709, 590/774, 742/384?

Answer: LCM of Numerators as per given numbers 32/709, 590/774, 742/384 is

LCM of Numerators i.e. for 32,590,742 is 3502240

GCF of denominators i.e. for 709,774,384 is 1.

Thus, LCM of Fractions is 3502240.Finally, LCM of Fractions for 32/709, 590/774, 742/384 is 3502240.