Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 292/511, 563/185, 933/179 quickly i.e. 153381468 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 292/511, 563/185, 933/179 is 153381468.
LCM(292/511, 563/185, 933/179) = 153381468
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 292/511,563/185,933/179
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 292,563,933
Least Common Multiple of Numerators i.e. LCM of 292,563,933 is 153381468.
GCF of Denominators means GCF of 511,185,179 as per the given fractions.
GCF of 511,185,179 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 292,563,933
Given numbers has no common factors except 1. So, there LCM is their product i.e 153381468
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 292,563,933 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(292,563,933) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(292,563,933) x common factors =1 x 1 = 1
LCM(292,563,933) = ( 292 × 563 × 933 ) / 1
LCM(292,563,933) = 153381468 / 1
LCM(292,563,933) = 153381468
Lets's calculate GCF of 511,185,179
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 153381468/1
Therefore the LCM of Fractions 292/511,563/185,933/179 is 153381468
Factors of 511
List of positive integer factors of 511 that divides 511 without a remainder.
1,7,73,511
Factors of 185
List of positive integer factors of 185 that divides 185 without a remainder.
1,5,37,185
Factors of 179
List of positive integer factors of 179 that divides 179 without a remainder.
1,179
Greatest Common Factor
We found the factors 511,185,179 . The biggest common factor number is the GCF number.
So the greatest common factor 511,185,179 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 292/511, 563/185, 933/179?
Answer: LCM of Numerators as per given numbers 292/511, 563/185, 933/179 is
LCM of Numerators i.e. for 292,563,933 is 153381468
GCF of denominators i.e. for 511,185,179 is 1.
Thus, LCM of Fractions is 153381468.Finally, LCM of Fractions for 292/511, 563/185, 933/179 is 153381468.