Least Common Multiple of 58/941, 930/460, 512/729

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 58/941, 930/460, 512/729 quickly i.e. 6904320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/941, 930/460, 512/729 is 6904320.

LCM(58/941, 930/460, 512/729) = 6904320

LCM of 58/941, 930/460, 512/729

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 58/941,930/460,512/729

Given numbers are 58/941,930/460,512/729

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 58,930,512

Least Common Multiple of Numerators i.e. LCM of 58,930,512 is 6904320.

GCF of Denominators means GCF of 941,460,729 as per the given fractions.

GCF of 941,460,729 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,930,512

LCM of Fractions 58/941,930/460,512/729 is 6904320

2 58, 930, 512
29, 465, 256

∴ So the LCM of the given numbers is 2 x 29 x 465 x 256 = 6904320

Least Common Multiple of 58,930,512 with GCF Formula

Least Common Multiple of 58,930,512 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 58,930,512 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,930,512) = 2

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

GCF(58,930,512) x common factors =2 x 2 = 4

LCM(58,930,512) = ( 58 × 930 × 512 ) / 4

LCM(58,930,512) = 27617280 / 4

LCM(58,930,512) = 6904320


Lets's calculate GCF of 941,460,729

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6904320/1

Therefore the LCM of Fractions 58/941,930/460,512/729 is 6904320

Greatest Common Factor of 941,460,729 By Matching Biggest Common Factor Method

Greatest Common Factor of 941,460,729 By Matching Biggest Common Factor Method

Factors of 941

List of positive integer factors of 941 that divides 941 without a remainder.

1,941

Factors of 460

List of positive integer factors of 460 that divides 460 without a remainder.

1,2,4,5,10,20,23,46,92,115,230,460

Factors of 729

List of positive integer factors of 729 that divides 729 without a remainder.

1,3,9,27,81,243,729

Greatest Common Factor

We found the factors 941,460,729 . The biggest common factor number is the GCF number.
So the greatest common factor 941,460,729 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 58/941, 930/460, 512/729

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 58/941, 930/460, 512/729?

Answer: LCM of Numerators as per given numbers 58/941, 930/460, 512/729 is

LCM of Numerators i.e. for 58,930,512 is 6904320

GCF of denominators i.e. for 941,460,729 is 1.

Thus, LCM of Fractions is 6904320.Finally, LCM of Fractions for 58/941, 930/460, 512/729 is 6904320.