Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 501/206, 988/102, 721/888 quickly i.e. 178443174 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 501/206, 988/102, 721/888 is 178443174.
LCM(501/206, 988/102, 721/888) = 178443174
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 501/206,988/102,721/888
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 501,988,721
Least Common Multiple of Numerators i.e. LCM of 501,988,721 is 356886348.
GCF of Denominators means GCF of 206,102,888 as per the given fractions.
GCF of 206,102,888 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 501,988,721
Given numbers has no common factors except 1. So, there LCM is their product i.e 356886348
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 501,988,721 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(501,988,721) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(501,988,721) x common factors =1 x 1 = 1
LCM(501,988,721) = ( 501 × 988 × 721 ) / 1
LCM(501,988,721) = 356886348 / 1
LCM(501,988,721) = 356886348
Lets's calculate GCF of 206,102,888
2 | 206, 102, 888 |
103, 51, 444 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 356886348/2
Therefore the LCM of Fractions 501/206,988/102,721/888 is 178443174
Factors of 206
List of positive integer factors of 206 that divides 206 without a remainder.
1,2,103,206
Factors of 102
List of positive integer factors of 102 that divides 102 without a remainder.
1,2,3,6,17,34,51,102
Factors of 888
List of positive integer factors of 888 that divides 888 without a remainder.
1,2,3,4,6,8,12,24,37,74,111,148,222,296,444,888
Greatest Common Factor
We found the factors 206,102,888 . The biggest common factor number is the GCF number.
So the greatest common factor 206,102,888 is 2.
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 501/206, 988/102, 721/888?
Answer: LCM of Numerators as per given numbers 501/206, 988/102, 721/888 is
LCM of Numerators i.e. for 501,988,721 is 356886348
GCF of denominators i.e. for 206,102,888 is 2.
Thus, LCM of Fractions is 178443174.Finally, LCM of Fractions for 501/206, 988/102, 721/888 is 178443174.