Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 14/52, 80/58, 38/34, 186/62 quickly i.e. 494760 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, 80/58, 38/34, 186/62 is 494760.
LCM(14/52, 80/58, 38/34, 186/62) = 494760
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 14/52,80/58,38/34,186/62
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 14,80,38,186
Least Common Multiple of Numerators i.e. LCM of 14,80,38,186 is 989520.
GCF of Denominators means GCF of 52,58,34,62 as per the given fractions.
GCF of 52,58,34,62 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 14,80,38,186
2 | 14, 80, 38, 186 |
7, 40, 19, 93 |
∴ So the LCM of the given numbers is 2 x 7 x 40 x 19 x 93 = 989520
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 14,80,38,186 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(14,80,38,186) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(14,80,38,186) x common factors =2 x 4 = 8
LCM(14,80,38,186) = ( 14 × 80 × 38 × 186 ) / 8
LCM(14,80,38,186) = 7916160 / 8
LCM(14,80,38,186) = 989520
Lets's calculate GCF of 52,58,34,62
2 | 52, 58, 34, 62 |
26, 29, 17, 31 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 989520/2
Therefore the LCM of Fractions 14/52,80/58,38/34,186/62 is 494760
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Factors of 58
List of positive integer factors of 58 that divides 58 without a remainder.
1,2,29,58
Factors of 34
List of positive integer factors of 34 that divides 34 without a remainder.
1,2,17,34
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
Greatest Common Factor
We found the factors 52,58,34,62 . The biggest common factor number is the GCF number.
So the greatest common factor 52,58,34,62 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 14/52, 80/58, 38/34, 186/62?
Answer: LCM of Numerators as per given numbers 14/52, 80/58, 38/34, 186/62 is
LCM of Numerators i.e. for 14,80,38,186 is 989520
GCF of denominators i.e. for 52,58,34,62 is 2.
Thus, LCM of Fractions is 494760.Finally, LCM of Fractions for 14/52, 80/58, 38/34, 186/62 is 494760.