Least Common Multiple of 488/412, 534/510, 697/666

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 488/412, 534/510, 697/666 quickly i.e. 45408156 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 488/412, 534/510, 697/666 is 45408156.

LCM(488/412, 534/510, 697/666) = 45408156

LCM of 488/412, 534/510, 697/666

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 488/412,534/510,697/666

Given numbers are 488/412,534/510,697/666

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 488,534,697

Least Common Multiple of Numerators i.e. LCM of 488,534,697 is 90816312.

GCF of Denominators means GCF of 412,510,666 as per the given fractions.

GCF of 412,510,666 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 488,534,697

LCM of Fractions 488/412,534/510,697/666 is 45408156

2 488, 534, 697
244, 267, 697

∴ So the LCM of the given numbers is 2 x 244 x 267 x 697 = 90816312

Least Common Multiple of 488,534,697 with GCF Formula

Least Common Multiple of 488,534,697 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 488,534,697 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(488,534,697) = 1

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

GCF(488,534,697) x common factors =1 x 2 = 2

LCM(488,534,697) = ( 488 × 534 × 697 ) / 2

LCM(488,534,697) = 181632624 / 2

LCM(488,534,697) = 90816312


Lets's calculate GCF of 412,510,666

2 412, 510, 666
206, 255, 333

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 90816312/2

Therefore the LCM of Fractions 488/412,534/510,697/666 is 45408156

Greatest Common Factor of 412,510,666 By Matching Biggest Common Factor Method

Greatest Common Factor of 412,510,666 By Matching Biggest Common Factor Method

Factors of 412

List of positive integer factors of 412 that divides 412 without a remainder.

1,2,4,103,206,412

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 666

List of positive integer factors of 666 that divides 666 without a remainder.

1,2,3,6,9,18,37,74,111,222,333,666

Greatest Common Factor

We found the factors 412,510,666 . The biggest common factor number is the GCF number.
So the greatest common factor 412,510,666 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 488/412, 534/510, 697/666

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 488/412, 534/510, 697/666?

Answer: LCM of Numerators as per given numbers 488/412, 534/510, 697/666 is

LCM of Numerators i.e. for 488,534,697 is 90816312

GCF of denominators i.e. for 412,510,666 is 2.

Thus, LCM of Fractions is 45408156.Finally, LCM of Fractions for 488/412, 534/510, 697/666 is 45408156.