Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8/251, 21/385, 16/765 quickly i.e. 336 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8/251, 21/385, 16/765 is 336.
LCM(8/251, 21/385, 16/765) = 336
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8/251,21/385,16/765
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 8,21,16
Least Common Multiple of Numerators i.e. LCM of 8,21,16 is 336.
GCF of Denominators means GCF of 251,385,765 as per the given fractions.
GCF of 251,385,765 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8,21,16
2 | 8, 21, 16 |
2 | 4, 21, 8 |
2 | 2, 21, 4 |
1, 21, 2 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 1 x 21 x 2 = 336
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 8,21,16 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8,21,16) = 1
common factors(in case of two or more numbers have common factors) = 8
GCF(8,21,16) x common factors =1 x 8 = 8
LCM(8,21,16) = ( 8 × 21 × 16 ) / 8
LCM(8,21,16) = 2688 / 8
LCM(8,21,16) = 336
Lets's calculate GCF of 251,385,765
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 336/1
Therefore the LCM of Fractions 8/251,21/385,16/765 is 336
Factors of 251
List of positive integer factors of 251 that divides 251 without a remainder.
1,251
Factors of 385
List of positive integer factors of 385 that divides 385 without a remainder.
1,5,7,11,35,55,77,385
Factors of 765
List of positive integer factors of 765 that divides 765 without a remainder.
1,3,5,9,15,17,45,51,85,153,255,765
Greatest Common Factor
We found the factors 251,385,765 . The biggest common factor number is the GCF number.
So the greatest common factor 251,385,765 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 8/251, 21/385, 16/765?
Answer: LCM of Numerators as per given numbers 8/251, 21/385, 16/765 is
LCM of Numerators i.e. for 8,21,16 is 336
GCF of denominators i.e. for 251,385,765 is 1.
Thus, LCM of Fractions is 336.Finally, LCM of Fractions for 8/251, 21/385, 16/765 is 336.