Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 51/70, 17/17, 78/14 quickly i.e. 1326 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 51/70, 17/17, 78/14 is 1326.
LCM(51/70, 17/17, 78/14) = 1326
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 51/70,17/17,78/14
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 51,17,78
Least Common Multiple of Numerators i.e. LCM of 51,17,78 is 1326.
GCF of Denominators means GCF of 70,17,14 as per the given fractions.
GCF of 70,17,14 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 51,17,78
3 | 51, 17, 78 |
17 | 17, 17, 26 |
1, 1, 26 |
∴ So the LCM of the given numbers is 3 x 17 x 1 x 1 x 26 = 1326
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 51,17,78 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,17,78) = 1
common factors(in case of two or more numbers have common factors) = 51
GCF(51,17,78) x common factors =1 x 51 = 51
LCM(51,17,78) = ( 51 × 17 × 78 ) / 51
LCM(51,17,78) = 67626 / 51
LCM(51,17,78) = 1326
Lets's calculate GCF of 70,17,14
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1326/1
Therefore the LCM of Fractions 51/70,17/17,78/14 is 1326
Factors of 70
List of positive integer factors of 70 that divides 70 without a remainder.
1,2,5,7,10,14,35,70
Factors of 17
List of positive integer factors of 17 that divides 17 without a remainder.
1,17
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Greatest Common Factor
We found the factors 70,17,14 . The biggest common factor number is the GCF number.
So the greatest common factor 70,17,14 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 51/70, 17/17, 78/14?
Answer: LCM of Numerators as per given numbers 51/70, 17/17, 78/14 is
LCM of Numerators i.e. for 51,17,78 is 1326
GCF of denominators i.e. for 70,17,14 is 1.
Thus, LCM of Fractions is 1326.Finally, LCM of Fractions for 51/70, 17/17, 78/14 is 1326.