Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 776/36, 454/82, 121/572 quickly i.e. 10657196 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 776/36, 454/82, 121/572 is 10657196.
LCM(776/36, 454/82, 121/572) = 10657196
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 776/36,454/82,121/572
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 776,454,121
Least Common Multiple of Numerators i.e. LCM of 776,454,121 is 21314392.
GCF of Denominators means GCF of 36,82,572 as per the given fractions.
GCF of 36,82,572 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 776,454,121
2 | 776, 454, 121 |
388, 227, 121 |
∴ So the LCM of the given numbers is 2 x 388 x 227 x 121 = 21314392
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 776,454,121 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(776,454,121) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(776,454,121) x common factors =1 x 2 = 2
LCM(776,454,121) = ( 776 × 454 × 121 ) / 2
LCM(776,454,121) = 42628784 / 2
LCM(776,454,121) = 21314392
Lets's calculate GCF of 36,82,572
2 | 36, 82, 572 |
18, 41, 286 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21314392/2
Therefore the LCM of Fractions 776/36,454/82,121/572 is 10657196
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 572
List of positive integer factors of 572 that divides 572 without a remainder.
1,2,4,11,13,22,26,44,52,143,286,572
Greatest Common Factor
We found the factors 36,82,572 . The biggest common factor number is the GCF number.
So the greatest common factor 36,82,572 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 776/36, 454/82, 121/572?
Answer: LCM of Numerators as per given numbers 776/36, 454/82, 121/572 is
LCM of Numerators i.e. for 776,454,121 is 21314392
GCF of denominators i.e. for 36,82,572 is 2.
Thus, LCM of Fractions is 10657196.Finally, LCM of Fractions for 776/36, 454/82, 121/572 is 10657196.