Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 70/14, 61/81, 44/12, 152/89 quickly i.e. 3569720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 70/14, 61/81, 44/12, 152/89 is 3569720.
LCM(70/14, 61/81, 44/12, 152/89) = 3569720
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 70/14,61/81,44/12,152/89
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 70,61,44,152
Least Common Multiple of Numerators i.e. LCM of 70,61,44,152 is 3569720.
GCF of Denominators means GCF of 14,81,12,89 as per the given fractions.
GCF of 14,81,12,89 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 70,61,44,152
2 | 70, 61, 44, 152 |
2 | 35, 61, 22, 76 |
35, 61, 11, 38 |
∴ So the LCM of the given numbers is 2 x 2 x 35 x 61 x 11 x 38 = 3569720
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 70,61,44,152 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,61,44,152) = 1
common factors(in case of two or more numbers have common factors) = 8
GCF(70,61,44,152) x common factors =1 x 8 = 8
LCM(70,61,44,152) = ( 70 × 61 × 44 × 152 ) / 8
LCM(70,61,44,152) = 28557760 / 8
LCM(70,61,44,152) = 3569720
Lets's calculate GCF of 14,81,12,89
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3569720/1
Therefore the LCM of Fractions 70/14,61/81,44/12,152/89 is 3569720
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Factors of 81
List of positive integer factors of 81 that divides 81 without a remainder.
1,3,9,27,81
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 89
List of positive integer factors of 89 that divides 89 without a remainder.
1,89
Greatest Common Factor
We found the factors 14,81,12,89 . The biggest common factor number is the GCF number.
So the greatest common factor 14,81,12,89 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 70/14, 61/81, 44/12, 152/89?
Answer: LCM of Numerators as per given numbers 70/14, 61/81, 44/12, 152/89 is
LCM of Numerators i.e. for 70,61,44,152 is 3569720
GCF of denominators i.e. for 14,81,12,89 is 1.
Thus, LCM of Fractions is 3569720.Finally, LCM of Fractions for 70/14, 61/81, 44/12, 152/89 is 3569720.