Least Common Multiple of 809/78, 588/44, 672/411

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 809/78, 588/44, 672/411 quickly i.e. 3805536 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 809/78, 588/44, 672/411 is 3805536.

LCM(809/78, 588/44, 672/411) = 3805536

LCM of 809/78, 588/44, 672/411

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 809/78,588/44,672/411

Given numbers are 809/78,588/44,672/411

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 809,588,672

Least Common Multiple of Numerators i.e. LCM of 809,588,672 is 3805536.

GCF of Denominators means GCF of 78,44,411 as per the given fractions.

GCF of 78,44,411 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 809,588,672

LCM of Fractions 809/78,588/44,672/411 is 3805536

2 809, 588, 672
2 809, 294, 336
3 809, 147, 168
7 809, 49, 56
809, 7, 8

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 809 x 7 x 8 = 3805536

Least Common Multiple of 809,588,672 with GCF Formula

Least Common Multiple of 809,588,672 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 809,588,672 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(809,588,672) = 1

common factors(in case of two or more numbers have common factors) = 84

GCF(809,588,672) x common factors =1 x 84 = 84

LCM(809,588,672) = ( 809 × 588 × 672 ) / 84

LCM(809,588,672) = 319665024 / 84

LCM(809,588,672) = 3805536


Lets's calculate GCF of 78,44,411

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3805536/1

Therefore the LCM of Fractions 809/78,588/44,672/411 is 3805536

Greatest Common Factor of 78,44,411 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,44,411 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 411

List of positive integer factors of 411 that divides 411 without a remainder.

1,3,137,411

Greatest Common Factor

We found the factors 78,44,411 . The biggest common factor number is the GCF number.
So the greatest common factor 78,44,411 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 809/78, 588/44, 672/411

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 809/78, 588/44, 672/411?

Answer: LCM of Numerators as per given numbers 809/78, 588/44, 672/411 is

LCM of Numerators i.e. for 809,588,672 is 3805536

GCF of denominators i.e. for 78,44,411 is 1.

Thus, LCM of Fractions is 3805536.Finally, LCM of Fractions for 809/78, 588/44, 672/411 is 3805536.