Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 459/937, 925/616, 301/734 quickly i.e. 127797075 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 459/937, 925/616, 301/734 is 127797075.
LCM(459/937, 925/616, 301/734) = 127797075
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 459/937,925/616,301/734
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 459,925,301
Least Common Multiple of Numerators i.e. LCM of 459,925,301 is 127797075.
GCF of Denominators means GCF of 937,616,734 as per the given fractions.
GCF of 937,616,734 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 459,925,301
Given numbers has no common factors except 1. So, there LCM is their product i.e 127797075
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 459,925,301 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(459,925,301) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(459,925,301) x common factors =1 x 1 = 1
LCM(459,925,301) = ( 459 × 925 × 301 ) / 1
LCM(459,925,301) = 127797075 / 1
LCM(459,925,301) = 127797075
Lets's calculate GCF of 937,616,734
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 127797075/1
Therefore the LCM of Fractions 459/937,925/616,301/734 is 127797075
Factors of 937
List of positive integer factors of 937 that divides 937 without a remainder.
1,937
Factors of 616
List of positive integer factors of 616 that divides 616 without a remainder.
1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616
Factors of 734
List of positive integer factors of 734 that divides 734 without a remainder.
1,2,367,734
Greatest Common Factor
We found the factors 937,616,734 . The biggest common factor number is the GCF number.
So the greatest common factor 937,616,734 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 459/937, 925/616, 301/734?
Answer: LCM of Numerators as per given numbers 459/937, 925/616, 301/734 is
LCM of Numerators i.e. for 459,925,301 is 127797075
GCF of denominators i.e. for 937,616,734 is 1.
Thus, LCM of Fractions is 127797075.Finally, LCM of Fractions for 459/937, 925/616, 301/734 is 127797075.