Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 650/333, 303/126, 776/489 quickly i.e. 25472200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 650/333, 303/126, 776/489 is 25472200.
LCM(650/333, 303/126, 776/489) = 25472200
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 650/333,303/126,776/489
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 650,303,776
Least Common Multiple of Numerators i.e. LCM of 650,303,776 is 76416600.
GCF of Denominators means GCF of 333,126,489 as per the given fractions.
GCF of 333,126,489 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 650,303,776
2 | 650, 303, 776 |
325, 303, 388 |
∴ So the LCM of the given numbers is 2 x 325 x 303 x 388 = 76416600
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 650,303,776 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(650,303,776) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(650,303,776) x common factors =1 x 2 = 2
LCM(650,303,776) = ( 650 × 303 × 776 ) / 2
LCM(650,303,776) = 152833200 / 2
LCM(650,303,776) = 76416600
Lets's calculate GCF of 333,126,489
3 | 333, 126, 489 |
111, 42, 163 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 76416600/3
Therefore the LCM of Fractions 650/333,303/126,776/489 is 25472200
Factors of 333
List of positive integer factors of 333 that divides 333 without a remainder.
1,3,9,37,111,333
Factors of 126
List of positive integer factors of 126 that divides 126 without a remainder.
1,2,3,6,7,9,14,18,21,42,63,126
Factors of 489
List of positive integer factors of 489 that divides 489 without a remainder.
1,3,163,489
Greatest Common Factor
We found the factors 333,126,489 . The biggest common factor number is the GCF number.
So the greatest common factor 333,126,489 is 3.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
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 650/333, 303/126, 776/489?
Answer: LCM of Numerators as per given numbers 650/333, 303/126, 776/489 is
LCM of Numerators i.e. for 650,303,776 is 76416600
GCF of denominators i.e. for 333,126,489 is 3.
Thus, LCM of Fractions is 25472200.Finally, LCM of Fractions for 650/333, 303/126, 776/489 is 25472200.