Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6/66, 48/122, 95/786 quickly i.e. 2280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6/66, 48/122, 95/786 is 2280.
LCM(6/66, 48/122, 95/786) = 2280
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6/66,48/122,95/786
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 6,48,95
Least Common Multiple of Numerators i.e. LCM of 6,48,95 is 4560.
GCF of Denominators means GCF of 66,122,786 as per the given fractions.
GCF of 66,122,786 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6,48,95
2 | 6, 48, 95 |
3 | 3, 24, 95 |
1, 8, 95 |
∴ So the LCM of the given numbers is 2 x 3 x 1 x 8 x 95 = 4560
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 6,48,95 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6,48,95) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(6,48,95) x common factors =1 x 6 = 6
LCM(6,48,95) = ( 6 × 48 × 95 ) / 6
LCM(6,48,95) = 27360 / 6
LCM(6,48,95) = 4560
Lets's calculate GCF of 66,122,786
2 | 66, 122, 786 |
33, 61, 393 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4560/2
Therefore the LCM of Fractions 6/66,48/122,95/786 is 2280
Factors of 66
List of positive integer factors of 66 that divides 66 without a remainder.
1,2,3,6,11,22,33,66
Factors of 122
List of positive integer factors of 122 that divides 122 without a remainder.
1,2,61,122
Factors of 786
List of positive integer factors of 786 that divides 786 without a remainder.
1,2,3,6,131,262,393,786
Greatest Common Factor
We found the factors 66,122,786 . The biggest common factor number is the GCF number.
So the greatest common factor 66,122,786 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 6/66, 48/122, 95/786?
Answer: LCM of Numerators as per given numbers 6/66, 48/122, 95/786 is
LCM of Numerators i.e. for 6,48,95 is 4560
GCF of denominators i.e. for 66,122,786 is 2.
Thus, LCM of Fractions is 2280.Finally, LCM of Fractions for 6/66, 48/122, 95/786 is 2280.