Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 88/60, 17/42, 52/29, 26/170 quickly i.e. 19448 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 88/60, 17/42, 52/29, 26/170 is 19448.
LCM(88/60, 17/42, 52/29, 26/170) = 19448
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 88/60,17/42,52/29,26/170
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 88,17,52,26
Least Common Multiple of Numerators i.e. LCM of 88,17,52,26 is 19448.
GCF of Denominators means GCF of 60,42,29,170 as per the given fractions.
GCF of 60,42,29,170 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 88,17,52,26
2 | 88, 17, 52, 26 |
2 | 44, 17, 26, 13 |
13 | 22, 17, 13, 13 |
22, 17, 1, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 13 x 22 x 17 x 1 x 1 = 19448
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 88,17,52,26 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(88,17,52,26) = 1
common factors(in case of two or more numbers have common factors) = 104
GCF(88,17,52,26) x common factors =1 x 104 = 104
LCM(88,17,52,26) = ( 88 × 17 × 52 × 26 ) / 104
LCM(88,17,52,26) = 2022592 / 104
LCM(88,17,52,26) = 19448
Lets's calculate GCF of 60,42,29,170
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19448/1
Therefore the LCM of Fractions 88/60,17/42,52/29,26/170 is 19448
Factors of 60
List of positive integer factors of 60 that divides 60 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60
Factors of 42
List of positive integer factors of 42 that divides 42 without a remainder.
1,2,3,6,7,14,21,42
Factors of 29
List of positive integer factors of 29 that divides 29 without a remainder.
1,29
Factors of 170
List of positive integer factors of 170 that divides 170 without a remainder.
1,2,5,10,17,34,85,170
Greatest Common Factor
We found the factors 60,42,29,170 . The biggest common factor number is the GCF number.
So the greatest common factor 60,42,29,170 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 88/60, 17/42, 52/29, 26/170?
Answer: LCM of Numerators as per given numbers 88/60, 17/42, 52/29, 26/170 is
LCM of Numerators i.e. for 88,17,52,26 is 19448
GCF of denominators i.e. for 60,42,29,170 is 1.
Thus, LCM of Fractions is 19448.Finally, LCM of Fractions for 88/60, 17/42, 52/29, 26/170 is 19448.