Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 55/70, 75/32, 701/989 quickly i.e. 578325 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 55/70, 75/32, 701/989 is 578325.
LCM(55/70, 75/32, 701/989) = 578325
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 55/70,75/32,701/989
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 55,75,701
Least Common Multiple of Numerators i.e. LCM of 55,75,701 is 578325.
GCF of Denominators means GCF of 70,32,989 as per the given fractions.
GCF of 70,32,989 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 55,75,701
5 | 55, 75, 701 |
11, 15, 701 |
∴ So the LCM of the given numbers is 5 x 11 x 15 x 701 = 578325
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 55,75,701 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,75,701) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(55,75,701) x common factors =1 x 5 = 5
LCM(55,75,701) = ( 55 × 75 × 701 ) / 5
LCM(55,75,701) = 2891625 / 5
LCM(55,75,701) = 578325
Lets's calculate GCF of 70,32,989
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 578325/1
Therefore the LCM of Fractions 55/70,75/32,701/989 is 578325
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 32
List of positive integer factors of 32 that divides 32 without a remainder.
1,2,4,8,16,32
Factors of 989
List of positive integer factors of 989 that divides 989 without a remainder.
1,23,43,989
Greatest Common Factor
We found the factors 70,32,989 . The biggest common factor number is the GCF number.
So the greatest common factor 70,32,989 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 55/70, 75/32, 701/989?
Answer: LCM of Numerators as per given numbers 55/70, 75/32, 701/989 is
LCM of Numerators i.e. for 55,75,701 is 578325
GCF of denominators i.e. for 70,32,989 is 1.
Thus, LCM of Fractions is 578325.Finally, LCM of Fractions for 55/70, 75/32, 701/989 is 578325.