Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 14/52, 780/32, 850/488 quickly i.e. 116025 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 14/52, 780/32, 850/488 is 116025.
LCM(14/52, 780/32, 850/488) = 116025
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 14/52,780/32,850/488
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 14,780,850
Least Common Multiple of Numerators i.e. LCM of 14,780,850 is 464100.
GCF of Denominators means GCF of 52,32,488 as per the given fractions.
GCF of 52,32,488 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 14,780,850
2 | 14, 780, 850 |
5 | 7, 390, 425 |
7, 78, 85 |
∴ So the LCM of the given numbers is 2 x 5 x 7 x 78 x 85 = 464100
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 14,780,850 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(14,780,850) = 2
common factors(in case of two or more numbers have common factors) = 10
GCF(14,780,850) x common factors =2 x 10 = 20
LCM(14,780,850) = ( 14 × 780 × 850 ) / 20
LCM(14,780,850) = 9282000 / 20
LCM(14,780,850) = 464100
Lets's calculate GCF of 52,32,488
2 | 52, 32, 488 |
2 | 26, 16, 244 |
13, 8, 122 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 464100/4
Therefore the LCM of Fractions 14/52,780/32,850/488 is 116025
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Factors of 32
List of positive integer factors of 32 that divides 32 without a remainder.
1,2,4,8,16,32
Factors of 488
List of positive integer factors of 488 that divides 488 without a remainder.
1,2,4,8,61,122,244,488
Greatest Common Factor
We found the factors 52,32,488 . The biggest common factor number is the GCF number.
So the greatest common factor 52,32,488 is 4.
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 14/52, 780/32, 850/488?
Answer: LCM of Numerators as per given numbers 14/52, 780/32, 850/488 is
LCM of Numerators i.e. for 14,780,850 is 464100
GCF of denominators i.e. for 52,32,488 is 4.
Thus, LCM of Fractions is 116025.Finally, LCM of Fractions for 14/52, 780/32, 850/488 is 116025.