Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 94/89, 75/91, 94/70, 34/824 quickly i.e. 119850 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 94/89, 75/91, 94/70, 34/824 is 119850.
LCM(94/89, 75/91, 94/70, 34/824) = 119850
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 94/89,75/91,94/70,34/824
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 94,75,94,34
Least Common Multiple of Numerators i.e. LCM of 94,75,94,34 is 119850.
GCF of Denominators means GCF of 89,91,70,824 as per the given fractions.
GCF of 89,91,70,824 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 94,75,94,34
2 | 94, 75, 94, 34 |
47 | 47, 75, 47, 17 |
1, 75, 1, 17 |
∴ So the LCM of the given numbers is 2 x 47 x 1 x 75 x 1 x 17 = 119850
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 94,75,94,34 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(94,75,94,34) = 1
common factors(in case of two or more numbers have common factors) = 188
GCF(94,75,94,34) x common factors =1 x 188 = 188
LCM(94,75,94,34) = ( 94 × 75 × 94 × 34 ) / 188
LCM(94,75,94,34) = 22531800 / 188
LCM(94,75,94,34) = 119850
Lets's calculate GCF of 89,91,70,824
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 119850/1
Therefore the LCM of Fractions 94/89,75/91,94/70,34/824 is 119850
Factors of 89
List of positive integer factors of 89 that divides 89 without a remainder.
1,89
Factors of 91
List of positive integer factors of 91 that divides 91 without a remainder.
1,7,13,91
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 824
List of positive integer factors of 824 that divides 824 without a remainder.
1,2,4,8,103,206,412,824
Greatest Common Factor
We found the factors 89,91,70,824 . The biggest common factor number is the GCF number.
So the greatest common factor 89,91,70,824 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 94/89, 75/91, 94/70, 34/824?
Answer: LCM of Numerators as per given numbers 94/89, 75/91, 94/70, 34/824 is
LCM of Numerators i.e. for 94,75,94,34 is 119850
GCF of denominators i.e. for 89,91,70,824 is 1.
Thus, LCM of Fractions is 119850.Finally, LCM of Fractions for 94/89, 75/91, 94/70, 34/824 is 119850.