Least Common Multiple of 58/72, 67/96, 830/497

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 58/72, 67/96, 830/497 quickly i.e. 1612690 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/72, 67/96, 830/497 is 1612690.

LCM(58/72, 67/96, 830/497) = 1612690

LCM of 58/72, 67/96, 830/497

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 58/72,67/96,830/497

Given numbers are 58/72,67/96,830/497

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 58,67,830

Least Common Multiple of Numerators i.e. LCM of 58,67,830 is 1612690.

GCF of Denominators means GCF of 72,96,497 as per the given fractions.

GCF of 72,96,497 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,67,830

LCM of Fractions 58/72,67/96,830/497 is 1612690

2 58, 67, 830
29, 67, 415

∴ So the LCM of the given numbers is 2 x 29 x 67 x 415 = 1612690

Least Common Multiple of 58,67,830 with GCF Formula

Least Common Multiple of 58,67,830 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 58,67,830 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,67,830) = 1

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

GCF(58,67,830) x common factors =1 x 2 = 2

LCM(58,67,830) = ( 58 × 67 × 830 ) / 2

LCM(58,67,830) = 3225380 / 2

LCM(58,67,830) = 1612690


Lets's calculate GCF of 72,96,497

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1612690/1

Therefore the LCM of Fractions 58/72,67/96,830/497 is 1612690

Greatest Common Factor of 72,96,497 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,96,497 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 497

List of positive integer factors of 497 that divides 497 without a remainder.

1,7,71,497

Greatest Common Factor

We found the factors 72,96,497 . The biggest common factor number is the GCF number.
So the greatest common factor 72,96,497 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 58/72, 67/96, 830/497

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 58/72, 67/96, 830/497?

Answer: LCM of Numerators as per given numbers 58/72, 67/96, 830/497 is

LCM of Numerators i.e. for 58,67,830 is 1612690

GCF of denominators i.e. for 72,96,497 is 1.

Thus, LCM of Fractions is 1612690.Finally, LCM of Fractions for 58/72, 67/96, 830/497 is 1612690.