Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7/28, 44/350, 89/962 quickly i.e. 13706 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7/28, 44/350, 89/962 is 13706.
LCM(7/28, 44/350, 89/962) = 13706
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7/28,44/350,89/962
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 7,44,89
Least Common Multiple of Numerators i.e. LCM of 7,44,89 is 27412.
GCF of Denominators means GCF of 28,350,962 as per the given fractions.
GCF of 28,350,962 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7,44,89
Given numbers has no common factors except 1. So, there LCM is their product i.e 27412
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 7,44,89 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7,44,89) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7,44,89) x common factors =1 x 1 = 1
LCM(7,44,89) = ( 7 × 44 × 89 ) / 1
LCM(7,44,89) = 27412 / 1
LCM(7,44,89) = 27412
Lets's calculate GCF of 28,350,962
2 | 28, 350, 962 |
14, 175, 481 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27412/2
Therefore the LCM of Fractions 7/28,44/350,89/962 is 13706
Factors of 28
List of positive integer factors of 28 that divides 28 without a remainder.
1,2,4,7,14,28
Factors of 350
List of positive integer factors of 350 that divides 350 without a remainder.
1,2,5,7,10,14,25,35,50,70,175,350
Factors of 962
List of positive integer factors of 962 that divides 962 without a remainder.
1,2,13,26,37,74,481,962
Greatest Common Factor
We found the factors 28,350,962 . The biggest common factor number is the GCF number.
So the greatest common factor 28,350,962 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 7/28, 44/350, 89/962?
Answer: LCM of Numerators as per given numbers 7/28, 44/350, 89/962 is
LCM of Numerators i.e. for 7,44,89 is 27412
GCF of denominators i.e. for 28,350,962 is 2.
Thus, LCM of Fractions is 13706.Finally, LCM of Fractions for 7/28, 44/350, 89/962 is 13706.