Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 559/399, 950/246, 654/884 quickly i.e. 173653350 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 559/399, 950/246, 654/884 is 173653350.
LCM(559/399, 950/246, 654/884) = 173653350
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 559/399,950/246,654/884
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 559,950,654
Least Common Multiple of Numerators i.e. LCM of 559,950,654 is 173653350.
GCF of Denominators means GCF of 399,246,884 as per the given fractions.
GCF of 399,246,884 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 559,950,654
2 | 559, 950, 654 |
559, 475, 327 |
∴ So the LCM of the given numbers is 2 x 559 x 475 x 327 = 173653350
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 559,950,654 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(559,950,654) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(559,950,654) x common factors =1 x 2 = 2
LCM(559,950,654) = ( 559 × 950 × 654 ) / 2
LCM(559,950,654) = 347306700 / 2
LCM(559,950,654) = 173653350
Lets's calculate GCF of 399,246,884
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 173653350/1
Therefore the LCM of Fractions 559/399,950/246,654/884 is 173653350
Factors of 399
List of positive integer factors of 399 that divides 399 without a remainder.
1,3,7,19,21,57,133,399
Factors of 246
List of positive integer factors of 246 that divides 246 without a remainder.
1,2,3,6,41,82,123,246
Factors of 884
List of positive integer factors of 884 that divides 884 without a remainder.
1,2,4,13,17,26,34,52,68,221,442,884
Greatest Common Factor
We found the factors 399,246,884 . The biggest common factor number is the GCF number.
So the greatest common factor 399,246,884 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 559/399, 950/246, 654/884?
Answer: LCM of Numerators as per given numbers 559/399, 950/246, 654/884 is
LCM of Numerators i.e. for 559,950,654 is 173653350
GCF of denominators i.e. for 399,246,884 is 1.
Thus, LCM of Fractions is 173653350.Finally, LCM of Fractions for 559/399, 950/246, 654/884 is 173653350.