Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 29/342, 64/837, 635/516 quickly i.e. 1178560/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 29/342, 64/837, 635/516 is 1178560/3.
LCM(29/342, 64/837, 635/516) = 1178560/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 29/342,64/837,635/516
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 29,64,635
Least Common Multiple of Numerators i.e. LCM of 29,64,635 is 1178560.
GCF of Denominators means GCF of 342,837,516 as per the given fractions.
GCF of 342,837,516 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 29,64,635
Given numbers has no common factors except 1. So, there LCM is their product i.e 1178560
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 29,64,635 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,64,635) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(29,64,635) x common factors =1 x 1 = 1
LCM(29,64,635) = ( 29 × 64 × 635 ) / 1
LCM(29,64,635) = 1178560 / 1
LCM(29,64,635) = 1178560
Lets's calculate GCF of 342,837,516
3 | 342, 837, 516 |
114, 279, 172 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1178560/3
Therefore the LCM of Fractions 29/342,64/837,635/516 is 1178560/3
Factors of 342
List of positive integer factors of 342 that divides 342 without a remainder.
1,2,3,6,9,18,19,38,57,114,171,342
Factors of 837
List of positive integer factors of 837 that divides 837 without a remainder.
1,3,9,27,31,93,279,837
Factors of 516
List of positive integer factors of 516 that divides 516 without a remainder.
1,2,3,4,6,12,43,86,129,172,258,516
Greatest Common Factor
We found the factors 342,837,516 . The biggest common factor number is the GCF number.
So the greatest common factor 342,837,516 is 3.
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 29/342, 64/837, 635/516?
Answer: LCM of Numerators as per given numbers 29/342, 64/837, 635/516 is
LCM of Numerators i.e. for 29,64,635 is 1178560
GCF of denominators i.e. for 342,837,516 is 3.
Thus, LCM of Fractions is 1178560/3.Finally, LCM of Fractions for 29/342, 64/837, 635/516 is 1178560/3.