Least Common Multiple of 34/633, 62/306, 489/556

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/633, 62/306, 489/556 quickly i.e. 515406 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/633, 62/306, 489/556 is 515406.

LCM(34/633, 62/306, 489/556) = 515406

LCM of 34/633, 62/306, 489/556

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 34/633,62/306,489/556

Given numbers are 34/633,62/306,489/556

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 34,62,489

Least Common Multiple of Numerators i.e. LCM of 34,62,489 is 515406.

GCF of Denominators means GCF of 633,306,556 as per the given fractions.

GCF of 633,306,556 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,62,489

LCM of Fractions 34/633,62/306,489/556 is 515406

2 34, 62, 489
17, 31, 489

∴ So the LCM of the given numbers is 2 x 17 x 31 x 489 = 515406

Least Common Multiple of 34,62,489 with GCF Formula

Least Common Multiple of 34,62,489 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 34,62,489 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,62,489) = 1

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

GCF(34,62,489) x common factors =1 x 2 = 2

LCM(34,62,489) = ( 34 × 62 × 489 ) / 2

LCM(34,62,489) = 1030812 / 2

LCM(34,62,489) = 515406


Lets's calculate GCF of 633,306,556

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 515406/1

Therefore the LCM of Fractions 34/633,62/306,489/556 is 515406

Greatest Common Factor of 633,306,556 By Matching Biggest Common Factor Method

Greatest Common Factor of 633,306,556 By Matching Biggest Common Factor Method

Factors of 633

List of positive integer factors of 633 that divides 633 without a remainder.

1,3,211,633

Factors of 306

List of positive integer factors of 306 that divides 306 without a remainder.

1,2,3,6,9,17,18,34,51,102,153,306

Factors of 556

List of positive integer factors of 556 that divides 556 without a remainder.

1,2,4,139,278,556

Greatest Common Factor

We found the factors 633,306,556 . The biggest common factor number is the GCF number.
So the greatest common factor 633,306,556 is 1.


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 34/633, 62/306, 489/556

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 34/633, 62/306, 489/556?

Answer: LCM of Numerators as per given numbers 34/633, 62/306, 489/556 is

LCM of Numerators i.e. for 34,62,489 is 515406

GCF of denominators i.e. for 633,306,556 is 1.

Thus, LCM of Fractions is 515406.Finally, LCM of Fractions for 34/633, 62/306, 489/556 is 515406.