Least Common Multiple of 63/900, 318/259, 459/976

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 63/900, 318/259, 459/976 quickly i.e. 340578 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 63/900, 318/259, 459/976 is 340578.

LCM(63/900, 318/259, 459/976) = 340578

LCM of 63/900, 318/259, 459/976

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 63/900,318/259,459/976

Given numbers are 63/900,318/259,459/976

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 63,318,459

Least Common Multiple of Numerators i.e. LCM of 63,318,459 is 340578.

GCF of Denominators means GCF of 900,259,976 as per the given fractions.

GCF of 900,259,976 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 63,318,459

LCM of Fractions 63/900,318/259,459/976 is 340578

3 63, 318, 459
3 21, 106, 153
7, 106, 51

∴ So the LCM of the given numbers is 3 x 3 x 7 x 106 x 51 = 340578

Least Common Multiple of 63,318,459 with GCF Formula

Least Common Multiple of 63,318,459 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 63,318,459 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,318,459) = 3

common factors(in case of two or more numbers have common factors) = 9

GCF(63,318,459) x common factors =3 x 9 = 27

LCM(63,318,459) = ( 63 × 318 × 459 ) / 27

LCM(63,318,459) = 9195606 / 27

LCM(63,318,459) = 340578


Lets's calculate GCF of 900,259,976

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 340578/1

Therefore the LCM of Fractions 63/900,318/259,459/976 is 340578

Greatest Common Factor of 900,259,976 By Matching Biggest Common Factor Method

Greatest Common Factor of 900,259,976 By Matching Biggest Common Factor Method

Factors of 900

List of positive integer factors of 900 that divides 900 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900

Factors of 259

List of positive integer factors of 259 that divides 259 without a remainder.

1,7,37,259

Factors of 976

List of positive integer factors of 976 that divides 976 without a remainder.

1,2,4,8,16,61,122,244,488,976

Greatest Common Factor

We found the factors 900,259,976 . The biggest common factor number is the GCF number.
So the greatest common factor 900,259,976 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 63/900, 318/259, 459/976

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 63/900, 318/259, 459/976?

Answer: LCM of Numerators as per given numbers 63/900, 318/259, 459/976 is

LCM of Numerators i.e. for 63,318,459 is 340578

GCF of denominators i.e. for 900,259,976 is 1.

Thus, LCM of Fractions is 340578.Finally, LCM of Fractions for 63/900, 318/259, 459/976 is 340578.