Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 958/706, 965/499, 444/139 quickly i.e. 205232340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 958/706, 965/499, 444/139 is 205232340.
LCM(958/706, 965/499, 444/139) = 205232340
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 958/706,965/499,444/139
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 958,965,444
Least Common Multiple of Numerators i.e. LCM of 958,965,444 is 205232340.
GCF of Denominators means GCF of 706,499,139 as per the given fractions.
GCF of 706,499,139 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 958,965,444
2 | 958, 965, 444 |
479, 965, 222 |
∴ So the LCM of the given numbers is 2 x 479 x 965 x 222 = 205232340
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 958,965,444 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(958,965,444) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(958,965,444) x common factors =1 x 2 = 2
LCM(958,965,444) = ( 958 × 965 × 444 ) / 2
LCM(958,965,444) = 410464680 / 2
LCM(958,965,444) = 205232340
Lets's calculate GCF of 706,499,139
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 205232340/1
Therefore the LCM of Fractions 958/706,965/499,444/139 is 205232340
Factors of 706
List of positive integer factors of 706 that divides 706 without a remainder.
1,2,353,706
Factors of 499
List of positive integer factors of 499 that divides 499 without a remainder.
1,499
Factors of 139
List of positive integer factors of 139 that divides 139 without a remainder.
1,139
Greatest Common Factor
We found the factors 706,499,139 . The biggest common factor number is the GCF number.
So the greatest common factor 706,499,139 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 958/706, 965/499, 444/139?
Answer: LCM of Numerators as per given numbers 958/706, 965/499, 444/139 is
LCM of Numerators i.e. for 958,965,444 is 205232340
GCF of denominators i.e. for 706,499,139 is 1.
Thus, LCM of Fractions is 205232340.Finally, LCM of Fractions for 958/706, 965/499, 444/139 is 205232340.