Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 734/86, 8508/472 quickly i.e. 1561218 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 734/86, 8508/472 is 1561218.
LCM(734/86, 8508/472) = 1561218
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 734/86,8508/472
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 734,8508
Least Common Multiple of Numerators i.e. LCM of 734,8508 is 3122436.
GCF of Denominators means GCF of 86,472 as per the given fractions.
GCF of 86,472 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 734,8508
2 | 734, 8508 |
367, 4254 |
∴ So the LCM of the given numbers is 2 x 367 x 4254 = 3122436
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 734,8508 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(734,8508) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(734,8508) x common factors =2 x 1 = 2
LCM(734,8508) = ( 734 × 8508 ) / 2
LCM(734,8508) = 6244872 / 2
LCM(734,8508) = 3122436
Lets's calculate GCF of 86,472
2 | 86, 472 |
43, 236 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3122436/2
Therefore the LCM of Fractions 734/86,8508/472 is 1561218
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Factors of 472
List of positive integer factors of 472 that divides 472 without a remainder.
1,2,4,8,59,118,236,472
Greatest Common Factor
We found the factors 86,472 . The biggest common factor number is the GCF number.
So the greatest common factor 86,472 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 734/86, 8508/472?
Answer: LCM of Numerators as per given numbers 734/86, 8508/472 is
LCM of Numerators i.e. for 734,8508 is 3122436
GCF of denominators i.e. for 86,472 is 2.
Thus, LCM of Fractions is 1561218.Finally, LCM of Fractions for 734/86, 8508/472 is 1561218.