Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 308/12, 364/71, 990/634 quickly i.e. 180180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 308/12, 364/71, 990/634 is 180180.
LCM(308/12, 364/71, 990/634) = 180180
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 308/12,364/71,990/634
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 308,364,990
Least Common Multiple of Numerators i.e. LCM of 308,364,990 is 180180.
GCF of Denominators means GCF of 12,71,634 as per the given fractions.
GCF of 12,71,634 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 308,364,990
2 | 308, 364, 990 |
2 | 154, 182, 495 |
7 | 77, 91, 495 |
11 | 11, 13, 495 |
1, 13, 45 |
∴ So the LCM of the given numbers is 2 x 2 x 7 x 11 x 1 x 13 x 45 = 180180
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 308,364,990 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(308,364,990) = 2
common factors(in case of two or more numbers have common factors) = 308
GCF(308,364,990) x common factors =2 x 308 = 616
LCM(308,364,990) = ( 308 × 364 × 990 ) / 616
LCM(308,364,990) = 110990880 / 616
LCM(308,364,990) = 180180
Lets's calculate GCF of 12,71,634
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 180180/1
Therefore the LCM of Fractions 308/12,364/71,990/634 is 180180
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 71
List of positive integer factors of 71 that divides 71 without a remainder.
1,71
Factors of 634
List of positive integer factors of 634 that divides 634 without a remainder.
1,2,317,634
Greatest Common Factor
We found the factors 12,71,634 . The biggest common factor number is the GCF number.
So the greatest common factor 12,71,634 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 308/12, 364/71, 990/634?
Answer: LCM of Numerators as per given numbers 308/12, 364/71, 990/634 is
LCM of Numerators i.e. for 308,364,990 is 180180
GCF of denominators i.e. for 12,71,634 is 1.
Thus, LCM of Fractions is 180180.Finally, LCM of Fractions for 308/12, 364/71, 990/634 is 180180.