Least Common Multiple of 784/95, 336/92, 729/585

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 784/95, 336/92, 729/585 quickly i.e. 571536 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 784/95, 336/92, 729/585 is 571536.

LCM(784/95, 336/92, 729/585) = 571536

LCM of 784/95, 336/92, 729/585

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 784/95,336/92,729/585

Given numbers are 784/95,336/92,729/585

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 784,336,729

Least Common Multiple of Numerators i.e. LCM of 784,336,729 is 571536.

GCF of Denominators means GCF of 95,92,585 as per the given fractions.

GCF of 95,92,585 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 784,336,729

LCM of Fractions 784/95,336/92,729/585 is 571536

2 784, 336, 729
2 392, 168, 729
2 196, 84, 729
2 98, 42, 729
3 49, 21, 729
7 49, 7, 243
1, 7, 243

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 7 x 1 x 7 x 243 = 571536

Least Common Multiple of 784,336,729 with GCF Formula

Least Common Multiple of 784,336,729 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 784,336,729 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(784,336,729) = 1

common factors(in case of two or more numbers have common factors) = 336

GCF(784,336,729) x common factors =1 x 336 = 336

LCM(784,336,729) = ( 784 × 336 × 729 ) / 336

LCM(784,336,729) = 192036096 / 336

LCM(784,336,729) = 571536


Lets's calculate GCF of 95,92,585

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 571536/1

Therefore the LCM of Fractions 784/95,336/92,729/585 is 571536

Greatest Common Factor of 95,92,585 By Matching Biggest Common Factor Method

Greatest Common Factor of 95,92,585 By Matching Biggest Common Factor Method

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 585

List of positive integer factors of 585 that divides 585 without a remainder.

1,3,5,9,13,15,39,45,65,117,195,585

Greatest Common Factor

We found the factors 95,92,585 . The biggest common factor number is the GCF number.
So the greatest common factor 95,92,585 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 784/95, 336/92, 729/585

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 784/95, 336/92, 729/585?

Answer: LCM of Numerators as per given numbers 784/95, 336/92, 729/585 is

LCM of Numerators i.e. for 784,336,729 is 571536

GCF of denominators i.e. for 95,92,585 is 1.

Thus, LCM of Fractions is 571536.Finally, LCM of Fractions for 784/95, 336/92, 729/585 is 571536.