Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 719/952, 4177/1534 quickly i.e. 3003263/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 719/952, 4177/1534 is 3003263/2.
LCM(719/952, 4177/1534) = 3003263/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 719/952,4177/1534
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 719,4177
Least Common Multiple of Numerators i.e. LCM of 719,4177 is 3003263.
GCF of Denominators means GCF of 952,1534 as per the given fractions.
GCF of 952,1534 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 719,4177
Given numbers has no common factors except 1. So, there LCM is their product i.e 3003263
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 719,4177 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(719,4177) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(719,4177) x common factors =1 x 1 = 1
LCM(719,4177) = ( 719 × 4177 ) / 1
LCM(719,4177) = 3003263 / 1
LCM(719,4177) = 3003263
Lets's calculate GCF of 952,1534
2 | 952, 1534 |
476, 767 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3003263/2
Therefore the LCM of Fractions 719/952,4177/1534 is 3003263/2
Factors of 952
List of positive integer factors of 952 that divides 952 without a remainder.
1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952
Factors of 1534
List of positive integer factors of 1534 that divides 1534 without a remainder.
1,2,13,26,59,118,767,1534
Greatest Common Factor
We found the factors 952,1534 . The biggest common factor number is the GCF number.
So the greatest common factor 952,1534 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 719/952, 4177/1534?
Answer: LCM of Numerators as per given numbers 719/952, 4177/1534 is
LCM of Numerators i.e. for 719,4177 is 3003263
GCF of denominators i.e. for 952,1534 is 2.
Thus, LCM of Fractions is 3003263/2.Finally, LCM of Fractions for 719/952, 4177/1534 is 3003263/2.