Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 51/667, 89/375, 985/953 quickly i.e. 4470915 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 51/667, 89/375, 985/953 is 4470915.
LCM(51/667, 89/375, 985/953) = 4470915
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 51/667,89/375,985/953
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 51,89,985
Least Common Multiple of Numerators i.e. LCM of 51,89,985 is 4470915.
GCF of Denominators means GCF of 667,375,953 as per the given fractions.
GCF of 667,375,953 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 51,89,985
Given numbers has no common factors except 1. So, there LCM is their product i.e 4470915
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 51,89,985 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,89,985) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(51,89,985) x common factors =1 x 1 = 1
LCM(51,89,985) = ( 51 × 89 × 985 ) / 1
LCM(51,89,985) = 4470915 / 1
LCM(51,89,985) = 4470915
Lets's calculate GCF of 667,375,953
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4470915/1
Therefore the LCM of Fractions 51/667,89/375,985/953 is 4470915
Factors of 667
List of positive integer factors of 667 that divides 667 without a remainder.
1,23,29,667
Factors of 375
List of positive integer factors of 375 that divides 375 without a remainder.
1,3,5,15,25,75,125,375
Factors of 953
List of positive integer factors of 953 that divides 953 without a remainder.
1,953
Greatest Common Factor
We found the factors 667,375,953 . The biggest common factor number is the GCF number.
So the greatest common factor 667,375,953 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 51/667, 89/375, 985/953?
Answer: LCM of Numerators as per given numbers 51/667, 89/375, 985/953 is
LCM of Numerators i.e. for 51,89,985 is 4470915
GCF of denominators i.e. for 667,375,953 is 1.
Thus, LCM of Fractions is 4470915.Finally, LCM of Fractions for 51/667, 89/375, 985/953 is 4470915.