Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 136/66, 976/48, 524/848 quickly i.e. 1086776 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 136/66, 976/48, 524/848 is 1086776.
LCM(136/66, 976/48, 524/848) = 1086776
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 136/66,976/48,524/848
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 136,976,524
Least Common Multiple of Numerators i.e. LCM of 136,976,524 is 2173552.
GCF of Denominators means GCF of 66,48,848 as per the given fractions.
GCF of 66,48,848 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 136,976,524
2 | 136, 976, 524 |
2 | 68, 488, 262 |
2 | 34, 244, 131 |
17, 122, 131 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 17 x 122 x 131 = 2173552
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 136,976,524 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(136,976,524) = 4
common factors(in case of two or more numbers have common factors) = 8
GCF(136,976,524) x common factors =4 x 8 = 32
LCM(136,976,524) = ( 136 × 976 × 524 ) / 32
LCM(136,976,524) = 69553664 / 32
LCM(136,976,524) = 2173552
Lets's calculate GCF of 66,48,848
2 | 66, 48, 848 |
33, 24, 424 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2173552/2
Therefore the LCM of Fractions 136/66,976/48,524/848 is 1086776
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 48
List of positive integer factors of 48 that divides 48 without a remainder.
1,2,3,4,6,8,12,16,24,48
Factors of 848
List of positive integer factors of 848 that divides 848 without a remainder.
1,2,4,8,16,53,106,212,424,848
Greatest Common Factor
We found the factors 66,48,848 . The biggest common factor number is the GCF number.
So the greatest common factor 66,48,848 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 136/66, 976/48, 524/848?
Answer: LCM of Numerators as per given numbers 136/66, 976/48, 524/848 is
LCM of Numerators i.e. for 136,976,524 is 2173552
GCF of denominators i.e. for 66,48,848 is 2.
Thus, LCM of Fractions is 1086776.Finally, LCM of Fractions for 136/66, 976/48, 524/848 is 1086776.