Least Common Multiple of 809/94, 987/14, 462/886

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 809/94, 987/14, 462/886 quickly i.e. 8783313 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 809/94, 987/14, 462/886 is 8783313.

LCM(809/94, 987/14, 462/886) = 8783313

LCM of 809/94, 987/14, 462/886

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 809/94,987/14,462/886

Given numbers are 809/94,987/14,462/886

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 809,987,462

Least Common Multiple of Numerators i.e. LCM of 809,987,462 is 17566626.

GCF of Denominators means GCF of 94,14,886 as per the given fractions.

GCF of 94,14,886 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 809,987,462

LCM of Fractions 809/94,987/14,462/886 is 8783313

3 809, 987, 462
7 809, 329, 154
809, 47, 22

∴ So the LCM of the given numbers is 3 x 7 x 809 x 47 x 22 = 17566626

Least Common Multiple of 809,987,462 with GCF Formula

Least Common Multiple of 809,987,462 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 809,987,462 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(809,987,462) = 1

common factors(in case of two or more numbers have common factors) = 21

GCF(809,987,462) x common factors =1 x 21 = 21

LCM(809,987,462) = ( 809 × 987 × 462 ) / 21

LCM(809,987,462) = 368899146 / 21

LCM(809,987,462) = 17566626


Lets's calculate GCF of 94,14,886

2 94, 14, 886
47, 7, 443

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17566626/2

Therefore the LCM of Fractions 809/94,987/14,462/886 is 8783313

Greatest Common Factor of 94,14,886 By Matching Biggest Common Factor Method

Greatest Common Factor of 94,14,886 By Matching Biggest Common Factor Method

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 886

List of positive integer factors of 886 that divides 886 without a remainder.

1,2,443,886

Greatest Common Factor

We found the factors 94,14,886 . The biggest common factor number is the GCF number.
So the greatest common factor 94,14,886 is 2.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 809/94, 987/14, 462/886

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 809/94, 987/14, 462/886?

Answer: LCM of Numerators as per given numbers 809/94, 987/14, 462/886 is

LCM of Numerators i.e. for 809,987,462 is 17566626

GCF of denominators i.e. for 94,14,886 is 2.

Thus, LCM of Fractions is 8783313.Finally, LCM of Fractions for 809/94, 987/14, 462/886 is 8783313.