Least Common Multiple of 60/510, 81/915, 762/723

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/510, 81/915, 762/723 quickly i.e. 68580 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/510, 81/915, 762/723 is 68580.

LCM(60/510, 81/915, 762/723) = 68580

LCM of 60/510, 81/915, 762/723

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 60/510,81/915,762/723

Given numbers are 60/510,81/915,762/723

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 60,81,762

Least Common Multiple of Numerators i.e. LCM of 60,81,762 is 205740.

GCF of Denominators means GCF of 510,915,723 as per the given fractions.

GCF of 510,915,723 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,81,762

LCM of Fractions 60/510,81/915,762/723 is 68580

2 60, 81, 762
3 30, 81, 381
10, 27, 127

∴ So the LCM of the given numbers is 2 x 3 x 10 x 27 x 127 = 205740

Least Common Multiple of 60,81,762 with GCF Formula

Least Common Multiple of 60,81,762 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 60,81,762 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,81,762) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(60,81,762) x common factors =3 x 6 = 18

LCM(60,81,762) = ( 60 × 81 × 762 ) / 18

LCM(60,81,762) = 3703320 / 18

LCM(60,81,762) = 205740


Lets's calculate GCF of 510,915,723

3 510, 915, 723
170, 305, 241

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 205740/3

Therefore the LCM of Fractions 60/510,81/915,762/723 is 68580

Greatest Common Factor of 510,915,723 By Matching Biggest Common Factor Method

Greatest Common Factor of 510,915,723 By Matching Biggest Common Factor Method

Factors of 510

List of positive integer factors of 510 that divides 510 without a remainder.

1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510

Factors of 915

List of positive integer factors of 915 that divides 915 without a remainder.

1,3,5,15,61,183,305,915

Factors of 723

List of positive integer factors of 723 that divides 723 without a remainder.

1,3,241,723

Greatest Common Factor

We found the factors 510,915,723 . The biggest common factor number is the GCF number.
So the greatest common factor 510,915,723 is 3.


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 60/510, 81/915, 762/723

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 60/510, 81/915, 762/723?

Answer: LCM of Numerators as per given numbers 60/510, 81/915, 762/723 is

LCM of Numerators i.e. for 60,81,762 is 205740

GCF of denominators i.e. for 510,915,723 is 3.

Thus, LCM of Fractions is 68580.Finally, LCM of Fractions for 60/510, 81/915, 762/723 is 68580.