Least Common Multiple of 585/614, 8952/768

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 585/614, 8952/768 quickly i.e. 872820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 585/614, 8952/768 is 872820.

LCM(585/614, 8952/768) = 872820

LCM of 585/614, 8952/768

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 585/614,8952/768

Given numbers are 585/614,8952/768

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 585,8952

Least Common Multiple of Numerators i.e. LCM of 585,8952 is 1745640.

GCF of Denominators means GCF of 614,768 as per the given fractions.

GCF of 614,768 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 585,8952

LCM of Fractions 585/614,8952/768 is 872820

3 585, 8952
195, 2984

∴ So the LCM of the given numbers is 3 x 195 x 2984 = 1745640

Least Common Multiple of 585,8952 with GCF Formula

Least Common Multiple of 585,8952 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 585,8952 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(585,8952) = 3

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

GCF(585,8952) x common factors =3 x 1 = 3

LCM(585,8952) = ( 585 × 8952 ) / 3

LCM(585,8952) = 5236920 / 3

LCM(585,8952) = 1745640


Lets's calculate GCF of 614,768

2 614, 768
307, 384

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1745640/2

Therefore the LCM of Fractions 585/614,8952/768 is 872820

Greatest Common Factor of 614,768 By Matching Biggest Common Factor Method

Greatest Common Factor of 614,768 By Matching Biggest Common Factor Method

Factors of 614

List of positive integer factors of 614 that divides 614 without a remainder.

1,2,307,614

Factors of 768

List of positive integer factors of 768 that divides 768 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768

Greatest Common Factor

We found the factors 614,768 . The biggest common factor number is the GCF number.
So the greatest common factor 614,768 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 585/614, 8952/768

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 585/614, 8952/768?

Answer: LCM of Numerators as per given numbers 585/614, 8952/768 is

LCM of Numerators i.e. for 585,8952 is 1745640

GCF of denominators i.e. for 614,768 is 2.

Thus, LCM of Fractions is 872820.Finally, LCM of Fractions for 585/614, 8952/768 is 872820.