Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 950/722, 226/761, 710/329 quickly i.e. 7621850 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 950/722, 226/761, 710/329 is 7621850.
LCM(950/722, 226/761, 710/329) = 7621850
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 950/722,226/761,710/329
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 950,226,710
Least Common Multiple of Numerators i.e. LCM of 950,226,710 is 7621850.
GCF of Denominators means GCF of 722,761,329 as per the given fractions.
GCF of 722,761,329 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 950,226,710
2 | 950, 226, 710 |
5 | 475, 113, 355 |
95, 113, 71 |
∴ So the LCM of the given numbers is 2 x 5 x 95 x 113 x 71 = 7621850
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 950,226,710 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(950,226,710) = 2
common factors(in case of two or more numbers have common factors) = 10
GCF(950,226,710) x common factors =2 x 10 = 20
LCM(950,226,710) = ( 950 × 226 × 710 ) / 20
LCM(950,226,710) = 152437000 / 20
LCM(950,226,710) = 7621850
Lets's calculate GCF of 722,761,329
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7621850/1
Therefore the LCM of Fractions 950/722,226/761,710/329 is 7621850
Factors of 722
List of positive integer factors of 722 that divides 722 without a remainder.
1,2,19,38,361,722
Factors of 761
List of positive integer factors of 761 that divides 761 without a remainder.
1,761
Factors of 329
List of positive integer factors of 329 that divides 329 without a remainder.
1,7,47,329
Greatest Common Factor
We found the factors 722,761,329 . The biggest common factor number is the GCF number.
So the greatest common factor 722,761,329 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 950/722, 226/761, 710/329?
Answer: LCM of Numerators as per given numbers 950/722, 226/761, 710/329 is
LCM of Numerators i.e. for 950,226,710 is 7621850
GCF of denominators i.e. for 722,761,329 is 1.
Thus, LCM of Fractions is 7621850.Finally, LCM of Fractions for 950/722, 226/761, 710/329 is 7621850.