Least Common Multiple of 58/805, 30/395, 844/889

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 58/805, 30/395, 844/889 quickly i.e. 367140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/805, 30/395, 844/889 is 367140.

LCM(58/805, 30/395, 844/889) = 367140

LCM of 58/805, 30/395, 844/889

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 58/805,30/395,844/889

Given numbers are 58/805,30/395,844/889

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 58,30,844

Least Common Multiple of Numerators i.e. LCM of 58,30,844 is 367140.

GCF of Denominators means GCF of 805,395,889 as per the given fractions.

GCF of 805,395,889 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,30,844

LCM of Fractions 58/805,30/395,844/889 is 367140

2 58, 30, 844
29, 15, 422

∴ So the LCM of the given numbers is 2 x 29 x 15 x 422 = 367140

Least Common Multiple of 58,30,844 with GCF Formula

Least Common Multiple of 58,30,844 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 58,30,844 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,30,844) = 2

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

GCF(58,30,844) x common factors =2 x 2 = 4

LCM(58,30,844) = ( 58 × 30 × 844 ) / 4

LCM(58,30,844) = 1468560 / 4

LCM(58,30,844) = 367140


Lets's calculate GCF of 805,395,889

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 367140/1

Therefore the LCM of Fractions 58/805,30/395,844/889 is 367140

Greatest Common Factor of 805,395,889 By Matching Biggest Common Factor Method

Greatest Common Factor of 805,395,889 By Matching Biggest Common Factor Method

Factors of 805

List of positive integer factors of 805 that divides 805 without a remainder.

1,5,7,23,35,115,161,805

Factors of 395

List of positive integer factors of 395 that divides 395 without a remainder.

1,5,79,395

Factors of 889

List of positive integer factors of 889 that divides 889 without a remainder.

1,7,127,889

Greatest Common Factor

We found the factors 805,395,889 . The biggest common factor number is the GCF number.
So the greatest common factor 805,395,889 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 58/805, 30/395, 844/889

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 58/805, 30/395, 844/889?

Answer: LCM of Numerators as per given numbers 58/805, 30/395, 844/889 is

LCM of Numerators i.e. for 58,30,844 is 367140

GCF of denominators i.e. for 805,395,889 is 1.

Thus, LCM of Fractions is 367140.Finally, LCM of Fractions for 58/805, 30/395, 844/889 is 367140.