Least Common Multiple of 586/70, 660/722

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 586/70, 660/722 quickly i.e. 96690 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 586/70, 660/722 is 96690.

LCM(586/70, 660/722) = 96690

LCM of 586/70, 660/722

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 586/70,660/722

Given numbers are 586/70,660/722

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 586,660

Least Common Multiple of Numerators i.e. LCM of 586,660 is 193380.

GCF of Denominators means GCF of 70,722 as per the given fractions.

GCF of 70,722 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 586,660

LCM of Fractions 586/70,660/722 is 96690

2 586, 660
293, 330

∴ So the LCM of the given numbers is 2 x 293 x 330 = 193380

Least Common Multiple of 586,660 with GCF Formula

Least Common Multiple of 586,660 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 586,660 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(586,660) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(586,660) x common factors =2 x 1 = 2

LCM(586,660) = ( 586 × 660 ) / 2

LCM(586,660) = 386760 / 2

LCM(586,660) = 193380


Lets's calculate GCF of 70,722

2 70, 722
35, 361

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 193380/2

Therefore the LCM of Fractions 586/70,660/722 is 96690

Greatest Common Factor of 70,722 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,722 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 722

List of positive integer factors of 722 that divides 722 without a remainder.

1,2,19,38,361,722

Greatest Common Factor

We found the factors 70,722 . The biggest common factor number is the GCF number.
So the greatest common factor 70,722 is 2.


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 586/70, 660/722

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 586/70, 660/722?

Answer: LCM of Numerators as per given numbers 586/70, 660/722 is

LCM of Numerators i.e. for 586,660 is 193380

GCF of denominators i.e. for 70,722 is 2.

Thus, LCM of Fractions is 96690.Finally, LCM of Fractions for 586/70, 660/722 is 96690.