Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 591/979, 948/423, 175/386 quickly i.e. 32682300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 591/979, 948/423, 175/386 is 32682300.
LCM(591/979, 948/423, 175/386) = 32682300
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 591/979,948/423,175/386
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 591,948,175
Least Common Multiple of Numerators i.e. LCM of 591,948,175 is 32682300.
GCF of Denominators means GCF of 979,423,386 as per the given fractions.
GCF of 979,423,386 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 591,948,175
3 | 591, 948, 175 |
197, 316, 175 |
∴ So the LCM of the given numbers is 3 x 197 x 316 x 175 = 32682300
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 591,948,175 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(591,948,175) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(591,948,175) x common factors =1 x 3 = 3
LCM(591,948,175) = ( 591 × 948 × 175 ) / 3
LCM(591,948,175) = 98046900 / 3
LCM(591,948,175) = 32682300
Lets's calculate GCF of 979,423,386
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32682300/1
Therefore the LCM of Fractions 591/979,948/423,175/386 is 32682300
Factors of 979
List of positive integer factors of 979 that divides 979 without a remainder.
1,11,89,979
Factors of 423
List of positive integer factors of 423 that divides 423 without a remainder.
1,3,9,47,141,423
Factors of 386
List of positive integer factors of 386 that divides 386 without a remainder.
1,2,193,386
Greatest Common Factor
We found the factors 979,423,386 . The biggest common factor number is the GCF number.
So the greatest common factor 979,423,386 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 591/979, 948/423, 175/386?
Answer: LCM of Numerators as per given numbers 591/979, 948/423, 175/386 is
LCM of Numerators i.e. for 591,948,175 is 32682300
GCF of denominators i.e. for 979,423,386 is 1.
Thus, LCM of Fractions is 32682300.Finally, LCM of Fractions for 591/979, 948/423, 175/386 is 32682300.