Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 33/248, 10/774, 934/606 quickly i.e. 77055 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 33/248, 10/774, 934/606 is 77055.
LCM(33/248, 10/774, 934/606) = 77055
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 33/248,10/774,934/606
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 33,10,934
Least Common Multiple of Numerators i.e. LCM of 33,10,934 is 154110.
GCF of Denominators means GCF of 248,774,606 as per the given fractions.
GCF of 248,774,606 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 33,10,934
2 | 33, 10, 934 |
33, 5, 467 |
∴ So the LCM of the given numbers is 2 x 33 x 5 x 467 = 154110
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 33,10,934 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(33,10,934) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(33,10,934) x common factors =1 x 2 = 2
LCM(33,10,934) = ( 33 × 10 × 934 ) / 2
LCM(33,10,934) = 308220 / 2
LCM(33,10,934) = 154110
Lets's calculate GCF of 248,774,606
2 | 248, 774, 606 |
124, 387, 303 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 154110/2
Therefore the LCM of Fractions 33/248,10/774,934/606 is 77055
Factors of 248
List of positive integer factors of 248 that divides 248 without a remainder.
1,2,4,8,31,62,124,248
Factors of 774
List of positive integer factors of 774 that divides 774 without a remainder.
1,2,3,6,9,18,43,86,129,258,387,774
Factors of 606
List of positive integer factors of 606 that divides 606 without a remainder.
1,2,3,6,101,202,303,606
Greatest Common Factor
We found the factors 248,774,606 . The biggest common factor number is the GCF number.
So the greatest common factor 248,774,606 is 2.
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 33/248, 10/774, 934/606?
Answer: LCM of Numerators as per given numbers 33/248, 10/774, 934/606 is
LCM of Numerators i.e. for 33,10,934 is 154110
GCF of denominators i.e. for 248,774,606 is 2.
Thus, LCM of Fractions is 77055.Finally, LCM of Fractions for 33/248, 10/774, 934/606 is 77055.