Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 30/266, 662/815, 986/660 quickly i.e. 4895490 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 30/266, 662/815, 986/660 is 4895490.
LCM(30/266, 662/815, 986/660) = 4895490
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 30/266,662/815,986/660
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 30,662,986
Least Common Multiple of Numerators i.e. LCM of 30,662,986 is 4895490.
GCF of Denominators means GCF of 266,815,660 as per the given fractions.
GCF of 266,815,660 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 30,662,986
2 | 30, 662, 986 |
15, 331, 493 |
∴ So the LCM of the given numbers is 2 x 15 x 331 x 493 = 4895490
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 30,662,986 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(30,662,986) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(30,662,986) x common factors =2 x 2 = 4
LCM(30,662,986) = ( 30 × 662 × 986 ) / 4
LCM(30,662,986) = 19581960 / 4
LCM(30,662,986) = 4895490
Lets's calculate GCF of 266,815,660
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4895490/1
Therefore the LCM of Fractions 30/266,662/815,986/660 is 4895490
Factors of 266
List of positive integer factors of 266 that divides 266 without a remainder.
1,2,7,14,19,38,133,266
Factors of 815
List of positive integer factors of 815 that divides 815 without a remainder.
1,5,163,815
Factors of 660
List of positive integer factors of 660 that divides 660 without a remainder.
1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660
Greatest Common Factor
We found the factors 266,815,660 . The biggest common factor number is the GCF number.
So the greatest common factor 266,815,660 is 1.
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 30/266, 662/815, 986/660?
Answer: LCM of Numerators as per given numbers 30/266, 662/815, 986/660 is
LCM of Numerators i.e. for 30,662,986 is 4895490
GCF of denominators i.e. for 266,815,660 is 1.
Thus, LCM of Fractions is 4895490.Finally, LCM of Fractions for 30/266, 662/815, 986/660 is 4895490.