Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 89/70, 56/70, 99/34, 22/346 quickly i.e. 246708 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 89/70, 56/70, 99/34, 22/346 is 246708.
LCM(89/70, 56/70, 99/34, 22/346) = 246708
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 89/70,56/70,99/34,22/346
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 89,56,99,22
Least Common Multiple of Numerators i.e. LCM of 89,56,99,22 is 493416.
GCF of Denominators means GCF of 70,70,34,346 as per the given fractions.
GCF of 70,70,34,346 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 89,56,99,22
2 | 89, 56, 99, 22 |
11 | 89, 28, 99, 11 |
89, 28, 9, 1 |
∴ So the LCM of the given numbers is 2 x 11 x 89 x 28 x 9 x 1 = 493416
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 89,56,99,22 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(89,56,99,22) = 1
common factors(in case of two or more numbers have common factors) = 22
GCF(89,56,99,22) x common factors =1 x 22 = 22
LCM(89,56,99,22) = ( 89 × 56 × 99 × 22 ) / 22
LCM(89,56,99,22) = 10855152 / 22
LCM(89,56,99,22) = 493416
Lets's calculate GCF of 70,70,34,346
2 | 70, 70, 34, 346 |
35, 35, 17, 173 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 493416/2
Therefore the LCM of Fractions 89/70,56/70,99/34,22/346 is 246708
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 70
List of positive integer factors of 70 that divides 70 without a remainder.
1,2,5,7,10,14,35,70
Factors of 34
List of positive integer factors of 34 that divides 34 without a remainder.
1,2,17,34
Factors of 346
List of positive integer factors of 346 that divides 346 without a remainder.
1,2,173,346
Greatest Common Factor
We found the factors 70,70,34,346 . The biggest common factor number is the GCF number.
So the greatest common factor 70,70,34,346 is 2.
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 89/70, 56/70, 99/34, 22/346?
Answer: LCM of Numerators as per given numbers 89/70, 56/70, 99/34, 22/346 is
LCM of Numerators i.e. for 89,56,99,22 is 493416
GCF of denominators i.e. for 70,70,34,346 is 2.
Thus, LCM of Fractions is 246708.Finally, LCM of Fractions for 89/70, 56/70, 99/34, 22/346 is 246708.