Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 14/77, 29/80, 59/26, 19/149 quickly i.e. 455126 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 14/77, 29/80, 59/26, 19/149 is 455126.
LCM(14/77, 29/80, 59/26, 19/149) = 455126
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 14/77,29/80,59/26,19/149
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 14,29,59,19
Least Common Multiple of Numerators i.e. LCM of 14,29,59,19 is 455126.
GCF of Denominators means GCF of 77,80,26,149 as per the given fractions.
GCF of 77,80,26,149 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 14,29,59,19
Given numbers has no common factors except 1. So, there LCM is their product i.e 455126
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 14,29,59,19 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(14,29,59,19) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(14,29,59,19) x common factors =1 x 1 = 1
LCM(14,29,59,19) = ( 14 × 29 × 59 × 19 ) / 1
LCM(14,29,59,19) = 455126 / 1
LCM(14,29,59,19) = 455126
Lets's calculate GCF of 77,80,26,149
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 455126/1
Therefore the LCM of Fractions 14/77,29/80,59/26,19/149 is 455126
Factors of 77
List of positive integer factors of 77 that divides 77 without a remainder.
1,7,11,77
Factors of 80
List of positive integer factors of 80 that divides 80 without a remainder.
1,2,4,5,8,10,16,20,40,80
Factors of 26
List of positive integer factors of 26 that divides 26 without a remainder.
1,2,13,26
Factors of 149
List of positive integer factors of 149 that divides 149 without a remainder.
1,149
Greatest Common Factor
We found the factors 77,80,26,149 . The biggest common factor number is the GCF number.
So the greatest common factor 77,80,26,149 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 14/77, 29/80, 59/26, 19/149?
Answer: LCM of Numerators as per given numbers 14/77, 29/80, 59/26, 19/149 is
LCM of Numerators i.e. for 14,29,59,19 is 455126
GCF of denominators i.e. for 77,80,26,149 is 1.
Thus, LCM of Fractions is 455126.Finally, LCM of Fractions for 14/77, 29/80, 59/26, 19/149 is 455126.