Least Common Multiple of 58/990, 43/667, 598/315

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 58/990, 43/667, 598/315 quickly i.e. 745706 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/990, 43/667, 598/315 is 745706.

LCM(58/990, 43/667, 598/315) = 745706

LCM of 58/990, 43/667, 598/315

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 58/990,43/667,598/315

Given numbers are 58/990,43/667,598/315

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 58,43,598

Least Common Multiple of Numerators i.e. LCM of 58,43,598 is 745706.

GCF of Denominators means GCF of 990,667,315 as per the given fractions.

GCF of 990,667,315 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,43,598

LCM of Fractions 58/990,43/667,598/315 is 745706

2 58, 43, 598
29, 43, 299

∴ So the LCM of the given numbers is 2 x 29 x 43 x 299 = 745706

Least Common Multiple of 58,43,598 with GCF Formula

Least Common Multiple of 58,43,598 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 58,43,598 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,43,598) = 1

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

GCF(58,43,598) x common factors =1 x 2 = 2

LCM(58,43,598) = ( 58 × 43 × 598 ) / 2

LCM(58,43,598) = 1491412 / 2

LCM(58,43,598) = 745706


Lets's calculate GCF of 990,667,315

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 745706/1

Therefore the LCM of Fractions 58/990,43/667,598/315 is 745706

Greatest Common Factor of 990,667,315 By Matching Biggest Common Factor Method

Greatest Common Factor of 990,667,315 By Matching Biggest Common Factor Method

Factors of 990

List of positive integer factors of 990 that divides 990 without a remainder.

1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990

Factors of 667

List of positive integer factors of 667 that divides 667 without a remainder.

1,23,29,667

Factors of 315

List of positive integer factors of 315 that divides 315 without a remainder.

1,3,5,7,9,15,21,35,45,63,105,315

Greatest Common Factor

We found the factors 990,667,315 . The biggest common factor number is the GCF number.
So the greatest common factor 990,667,315 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 58/990, 43/667, 598/315

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 58/990, 43/667, 598/315?

Answer: LCM of Numerators as per given numbers 58/990, 43/667, 598/315 is

LCM of Numerators i.e. for 58,43,598 is 745706

GCF of denominators i.e. for 990,667,315 is 1.

Thus, LCM of Fractions is 745706.Finally, LCM of Fractions for 58/990, 43/667, 598/315 is 745706.