Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 709/962, 4625/8271 quickly i.e. 3279125 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 709/962, 4625/8271 is 3279125.
LCM(709/962, 4625/8271) = 3279125
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 709/962,4625/8271
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 709,4625
Least Common Multiple of Numerators i.e. LCM of 709,4625 is 3279125.
GCF of Denominators means GCF of 962,8271 as per the given fractions.
GCF of 962,8271 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 709,4625
Given numbers has no common factors except 1. So, there LCM is their product i.e 3279125
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 709,4625 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(709,4625) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(709,4625) x common factors =1 x 1 = 1
LCM(709,4625) = ( 709 × 4625 ) / 1
LCM(709,4625) = 3279125 / 1
LCM(709,4625) = 3279125
Lets's calculate GCF of 962,8271
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3279125/1
Therefore the LCM of Fractions 709/962,4625/8271 is 3279125
Factors of 962
List of positive integer factors of 962 that divides 962 without a remainder.
1,2,13,26,37,74,481,962
Factors of 8271
List of positive integer factors of 8271 that divides 8271 without a remainder.
1,3,9,919,2757,8271
Greatest Common Factor
We found the factors 962,8271 . The biggest common factor number is the GCF number.
So the greatest common factor 962,8271 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 709/962, 4625/8271?
Answer: LCM of Numerators as per given numbers 709/962, 4625/8271 is
LCM of Numerators i.e. for 709,4625 is 3279125
GCF of denominators i.e. for 962,8271 is 1.
Thus, LCM of Fractions is 3279125.Finally, LCM of Fractions for 709/962, 4625/8271 is 3279125.