Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 68/47, 725/92, 521/719 quickly i.e. 25685300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 68/47, 725/92, 521/719 is 25685300.
LCM(68/47, 725/92, 521/719) = 25685300
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 68/47,725/92,521/719
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 68,725,521
Least Common Multiple of Numerators i.e. LCM of 68,725,521 is 25685300.
GCF of Denominators means GCF of 47,92,719 as per the given fractions.
GCF of 47,92,719 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 68,725,521
Given numbers has no common factors except 1. So, there LCM is their product i.e 25685300
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 68,725,521 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(68,725,521) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(68,725,521) x common factors =1 x 1 = 1
LCM(68,725,521) = ( 68 × 725 × 521 ) / 1
LCM(68,725,521) = 25685300 / 1
LCM(68,725,521) = 25685300
Lets's calculate GCF of 47,92,719
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25685300/1
Therefore the LCM of Fractions 68/47,725/92,521/719 is 25685300
Factors of 47
List of positive integer factors of 47 that divides 47 without a remainder.
1,47
Factors of 92
List of positive integer factors of 92 that divides 92 without a remainder.
1,2,4,23,46,92
Factors of 719
List of positive integer factors of 719 that divides 719 without a remainder.
1,719
Greatest Common Factor
We found the factors 47,92,719 . The biggest common factor number is the GCF number.
So the greatest common factor 47,92,719 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 68/47, 725/92, 521/719?
Answer: LCM of Numerators as per given numbers 68/47, 725/92, 521/719 is
LCM of Numerators i.e. for 68,725,521 is 25685300
GCF of denominators i.e. for 47,92,719 is 1.
Thus, LCM of Fractions is 25685300.Finally, LCM of Fractions for 68/47, 725/92, 521/719 is 25685300.