Least Common Multiple of 717/828, 734/816, 315/562

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 717/828, 734/816, 315/562 quickly i.e. 27629595 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 717/828, 734/816, 315/562 is 27629595.

LCM(717/828, 734/816, 315/562) = 27629595

LCM of 717/828, 734/816, 315/562

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 717/828,734/816,315/562

Given numbers are 717/828,734/816,315/562

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 717,734,315

Least Common Multiple of Numerators i.e. LCM of 717,734,315 is 55259190.

GCF of Denominators means GCF of 828,816,562 as per the given fractions.

GCF of 828,816,562 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 717,734,315

LCM of Fractions 717/828,734/816,315/562 is 27629595

3 717, 734, 315
239, 734, 105

∴ So the LCM of the given numbers is 3 x 239 x 734 x 105 = 55259190

Least Common Multiple of 717,734,315 with GCF Formula

Least Common Multiple of 717,734,315 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 717,734,315 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(717,734,315) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(717,734,315) x common factors =1 x 3 = 3

LCM(717,734,315) = ( 717 × 734 × 315 ) / 3

LCM(717,734,315) = 165777570 / 3

LCM(717,734,315) = 55259190


Lets's calculate GCF of 828,816,562

2 828, 816, 562
414, 408, 281

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 55259190/2

Therefore the LCM of Fractions 717/828,734/816,315/562 is 27629595

Greatest Common Factor of 828,816,562 By Matching Biggest Common Factor Method

Greatest Common Factor of 828,816,562 By Matching Biggest Common Factor Method

Factors of 828

List of positive integer factors of 828 that divides 828 without a remainder.

1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828

Factors of 816

List of positive integer factors of 816 that divides 816 without a remainder.

1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816

Factors of 562

List of positive integer factors of 562 that divides 562 without a remainder.

1,2,281,562

Greatest Common Factor

We found the factors 828,816,562 . The biggest common factor number is the GCF number.
So the greatest common factor 828,816,562 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 717/828, 734/816, 315/562

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 717/828, 734/816, 315/562?

Answer: LCM of Numerators as per given numbers 717/828, 734/816, 315/562 is

LCM of Numerators i.e. for 717,734,315 is 55259190

GCF of denominators i.e. for 828,816,562 is 2.

Thus, LCM of Fractions is 27629595.Finally, LCM of Fractions for 717/828, 734/816, 315/562 is 27629595.