Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6/29, 53/304, 50/839 quickly i.e. 7950 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6/29, 53/304, 50/839 is 7950.
LCM(6/29, 53/304, 50/839) = 7950
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6/29,53/304,50/839
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 6,53,50
Least Common Multiple of Numerators i.e. LCM of 6,53,50 is 7950.
GCF of Denominators means GCF of 29,304,839 as per the given fractions.
GCF of 29,304,839 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6,53,50
2 | 6, 53, 50 |
3, 53, 25 |
∴ So the LCM of the given numbers is 2 x 3 x 53 x 25 = 7950
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 6,53,50 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6,53,50) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(6,53,50) x common factors =1 x 2 = 2
LCM(6,53,50) = ( 6 × 53 × 50 ) / 2
LCM(6,53,50) = 15900 / 2
LCM(6,53,50) = 7950
Lets's calculate GCF of 29,304,839
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7950/1
Therefore the LCM of Fractions 6/29,53/304,50/839 is 7950
Factors of 29
List of positive integer factors of 29 that divides 29 without a remainder.
1,29
Factors of 304
List of positive integer factors of 304 that divides 304 without a remainder.
1,2,4,8,16,19,38,76,152,304
Factors of 839
List of positive integer factors of 839 that divides 839 without a remainder.
1,839
Greatest Common Factor
We found the factors 29,304,839 . The biggest common factor number is the GCF number.
So the greatest common factor 29,304,839 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 6/29, 53/304, 50/839?
Answer: LCM of Numerators as per given numbers 6/29, 53/304, 50/839 is
LCM of Numerators i.e. for 6,53,50 is 7950
GCF of denominators i.e. for 29,304,839 is 1.
Thus, LCM of Fractions is 7950.Finally, LCM of Fractions for 6/29, 53/304, 50/839 is 7950.