Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 725/414, 888/785, 491/277 quickly i.e. 316105800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 725/414, 888/785, 491/277 is 316105800.
LCM(725/414, 888/785, 491/277) = 316105800
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 725/414,888/785,491/277
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 725,888,491
Least Common Multiple of Numerators i.e. LCM of 725,888,491 is 316105800.
GCF of Denominators means GCF of 414,785,277 as per the given fractions.
GCF of 414,785,277 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 725,888,491
Given numbers has no common factors except 1. So, there LCM is their product i.e 316105800
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 725,888,491 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(725,888,491) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(725,888,491) x common factors =1 x 1 = 1
LCM(725,888,491) = ( 725 × 888 × 491 ) / 1
LCM(725,888,491) = 316105800 / 1
LCM(725,888,491) = 316105800
Lets's calculate GCF of 414,785,277
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 316105800/1
Therefore the LCM of Fractions 725/414,888/785,491/277 is 316105800
Factors of 414
List of positive integer factors of 414 that divides 414 without a remainder.
1,2,3,6,9,18,23,46,69,138,207,414
Factors of 785
List of positive integer factors of 785 that divides 785 without a remainder.
1,5,157,785
Factors of 277
List of positive integer factors of 277 that divides 277 without a remainder.
1,277
Greatest Common Factor
We found the factors 414,785,277 . The biggest common factor number is the GCF number.
So the greatest common factor 414,785,277 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 725/414, 888/785, 491/277?
Answer: LCM of Numerators as per given numbers 725/414, 888/785, 491/277 is
LCM of Numerators i.e. for 725,888,491 is 316105800
GCF of denominators i.e. for 414,785,277 is 1.
Thus, LCM of Fractions is 316105800.Finally, LCM of Fractions for 725/414, 888/785, 491/277 is 316105800.