Least Common Multiple of 64/45, 326/39, 389/358

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 64/45, 326/39, 389/358 quickly i.e. 4058048 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/45, 326/39, 389/358 is 4058048.

LCM(64/45, 326/39, 389/358) = 4058048

LCM of 64/45, 326/39, 389/358

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 64/45,326/39,389/358

Given numbers are 64/45,326/39,389/358

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 64,326,389

Least Common Multiple of Numerators i.e. LCM of 64,326,389 is 4058048.

GCF of Denominators means GCF of 45,39,358 as per the given fractions.

GCF of 45,39,358 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,326,389

LCM of Fractions 64/45,326/39,389/358 is 4058048

2 64, 326, 389
32, 163, 389

∴ So the LCM of the given numbers is 2 x 32 x 163 x 389 = 4058048

Least Common Multiple of 64,326,389 with GCF Formula

Least Common Multiple of 64,326,389 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 64,326,389 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,326,389) = 1

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

GCF(64,326,389) x common factors =1 x 2 = 2

LCM(64,326,389) = ( 64 × 326 × 389 ) / 2

LCM(64,326,389) = 8116096 / 2

LCM(64,326,389) = 4058048


Lets's calculate GCF of 45,39,358

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4058048/1

Therefore the LCM of Fractions 64/45,326/39,389/358 is 4058048

Greatest Common Factor of 45,39,358 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,39,358 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 358

List of positive integer factors of 358 that divides 358 without a remainder.

1,2,179,358

Greatest Common Factor

We found the factors 45,39,358 . The biggest common factor number is the GCF number.
So the greatest common factor 45,39,358 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 64/45, 326/39, 389/358

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 64/45, 326/39, 389/358?

Answer: LCM of Numerators as per given numbers 64/45, 326/39, 389/358 is

LCM of Numerators i.e. for 64,326,389 is 4058048

GCF of denominators i.e. for 45,39,358 is 1.

Thus, LCM of Fractions is 4058048.Finally, LCM of Fractions for 64/45, 326/39, 389/358 is 4058048.