Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 92/568, 60/979, 933/343 quickly i.e. 429180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 92/568, 60/979, 933/343 is 429180.
LCM(92/568, 60/979, 933/343) = 429180
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 92/568,60/979,933/343
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 92,60,933
Least Common Multiple of Numerators i.e. LCM of 92,60,933 is 429180.
GCF of Denominators means GCF of 568,979,343 as per the given fractions.
GCF of 568,979,343 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 92,60,933
2 | 92, 60, 933 |
2 | 46, 30, 933 |
3 | 23, 15, 933 |
23, 5, 311 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 23 x 5 x 311 = 429180
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 92,60,933 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(92,60,933) = 1
common factors(in case of two or more numbers have common factors) = 12
GCF(92,60,933) x common factors =1 x 12 = 12
LCM(92,60,933) = ( 92 × 60 × 933 ) / 12
LCM(92,60,933) = 5150160 / 12
LCM(92,60,933) = 429180
Lets's calculate GCF of 568,979,343
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 429180/1
Therefore the LCM of Fractions 92/568,60/979,933/343 is 429180
Factors of 568
List of positive integer factors of 568 that divides 568 without a remainder.
1,2,4,8,71,142,284,568
Factors of 979
List of positive integer factors of 979 that divides 979 without a remainder.
1,11,89,979
Factors of 343
List of positive integer factors of 343 that divides 343 without a remainder.
1,7,49,343
Greatest Common Factor
We found the factors 568,979,343 . The biggest common factor number is the GCF number.
So the greatest common factor 568,979,343 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 92/568, 60/979, 933/343?
Answer: LCM of Numerators as per given numbers 92/568, 60/979, 933/343 is
LCM of Numerators i.e. for 92,60,933 is 429180
GCF of denominators i.e. for 568,979,343 is 1.
Thus, LCM of Fractions is 429180.Finally, LCM of Fractions for 92/568, 60/979, 933/343 is 429180.