Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 779/847, 222/714, 581/687 quickly i.e. 100476978 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 779/847, 222/714, 581/687 is 100476978.
LCM(779/847, 222/714, 581/687) = 100476978
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 779/847,222/714,581/687
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 779,222,581
Least Common Multiple of Numerators i.e. LCM of 779,222,581 is 100476978.
GCF of Denominators means GCF of 847,714,687 as per the given fractions.
GCF of 847,714,687 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 779,222,581
Given numbers has no common factors except 1. So, there LCM is their product i.e 100476978
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 779,222,581 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(779,222,581) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(779,222,581) x common factors =1 x 1 = 1
LCM(779,222,581) = ( 779 × 222 × 581 ) / 1
LCM(779,222,581) = 100476978 / 1
LCM(779,222,581) = 100476978
Lets's calculate GCF of 847,714,687
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 100476978/1
Therefore the LCM of Fractions 779/847,222/714,581/687 is 100476978
Factors of 847
List of positive integer factors of 847 that divides 847 without a remainder.
1,7,11,77,121,847
Factors of 714
List of positive integer factors of 714 that divides 714 without a remainder.
1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714
Factors of 687
List of positive integer factors of 687 that divides 687 without a remainder.
1,3,229,687
Greatest Common Factor
We found the factors 847,714,687 . The biggest common factor number is the GCF number.
So the greatest common factor 847,714,687 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 779/847, 222/714, 581/687?
Answer: LCM of Numerators as per given numbers 779/847, 222/714, 581/687 is
LCM of Numerators i.e. for 779,222,581 is 100476978
GCF of denominators i.e. for 847,714,687 is 1.
Thus, LCM of Fractions is 100476978.Finally, LCM of Fractions for 779/847, 222/714, 581/687 is 100476978.