Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8/466, 68/875, 21/624 quickly i.e. 2856 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8/466, 68/875, 21/624 is 2856.
LCM(8/466, 68/875, 21/624) = 2856
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8/466,68/875,21/624
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 8,68,21
Least Common Multiple of Numerators i.e. LCM of 8,68,21 is 2856.
GCF of Denominators means GCF of 466,875,624 as per the given fractions.
GCF of 466,875,624 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8,68,21
2 | 8, 68, 21 |
2 | 4, 34, 21 |
2, 17, 21 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 17 x 21 = 2856
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 8,68,21 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8,68,21) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(8,68,21) x common factors =1 x 4 = 4
LCM(8,68,21) = ( 8 × 68 × 21 ) / 4
LCM(8,68,21) = 11424 / 4
LCM(8,68,21) = 2856
Lets's calculate GCF of 466,875,624
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2856/1
Therefore the LCM of Fractions 8/466,68/875,21/624 is 2856
Factors of 466
List of positive integer factors of 466 that divides 466 without a remainder.
1,2,233,466
Factors of 875
List of positive integer factors of 875 that divides 875 without a remainder.
1,5,7,25,35,125,175,875
Factors of 624
List of positive integer factors of 624 that divides 624 without a remainder.
1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,208,312,624
Greatest Common Factor
We found the factors 466,875,624 . The biggest common factor number is the GCF number.
So the greatest common factor 466,875,624 is 1.
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 8/466, 68/875, 21/624?
Answer: LCM of Numerators as per given numbers 8/466, 68/875, 21/624 is
LCM of Numerators i.e. for 8,68,21 is 2856
GCF of denominators i.e. for 466,875,624 is 1.
Thus, LCM of Fractions is 2856.Finally, LCM of Fractions for 8/466, 68/875, 21/624 is 2856.