Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 666/906, 5008/8736 quickly i.e. 277944 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 666/906, 5008/8736 is 277944.
LCM(666/906, 5008/8736) = 277944
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 666/906,5008/8736
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 666,5008
Least Common Multiple of Numerators i.e. LCM of 666,5008 is 1667664.
GCF of Denominators means GCF of 906,8736 as per the given fractions.
GCF of 906,8736 is 6 as it is the largest common factor for these numbers.
Lets's calculate LCM of 666,5008
2 | 666, 5008 |
333, 2504 |
∴ So the LCM of the given numbers is 2 x 333 x 2504 = 1667664
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 666,5008 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(666,5008) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(666,5008) x common factors =2 x 1 = 2
LCM(666,5008) = ( 666 × 5008 ) / 2
LCM(666,5008) = 3335328 / 2
LCM(666,5008) = 1667664
Lets's calculate GCF of 906,8736
2 | 906, 8736 |
3 | 453, 4368 |
151, 1456 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1667664/6
Therefore the LCM of Fractions 666/906,5008/8736 is 277944
Factors of 906
List of positive integer factors of 906 that divides 906 without a remainder.
1,2,3,6,151,302,453,906
Factors of 8736
List of positive integer factors of 8736 that divides 8736 without a remainder.
1,2,3,4,6,7,8,12,13,14,16,21,24,26,28,32,39,42,48,52,56,78,84,91,96,104,112,156,168,182,208,224,273,312,336,364,416,546,624,672,728,1092,1248,1456,2184,2912,4368,8736
Greatest Common Factor
We found the factors 906,8736 . The biggest common factor number is the GCF number.
So the greatest common factor 906,8736 is 6.
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 666/906, 5008/8736?
Answer: LCM of Numerators as per given numbers 666/906, 5008/8736 is
LCM of Numerators i.e. for 666,5008 is 1667664
GCF of denominators i.e. for 906,8736 is 6.
Thus, LCM of Fractions is 277944.Finally, LCM of Fractions for 666/906, 5008/8736 is 277944.