Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 62/14, 536/45, 131/584 quickly i.e. 2176696 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 62/14, 536/45, 131/584 is 2176696.
LCM(62/14, 536/45, 131/584) = 2176696
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 62/14,536/45,131/584
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 62,536,131
Least Common Multiple of Numerators i.e. LCM of 62,536,131 is 2176696.
GCF of Denominators means GCF of 14,45,584 as per the given fractions.
GCF of 14,45,584 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 62,536,131
2 | 62, 536, 131 |
31, 268, 131 |
∴ So the LCM of the given numbers is 2 x 31 x 268 x 131 = 2176696
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 62,536,131 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,536,131) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(62,536,131) x common factors =1 x 2 = 2
LCM(62,536,131) = ( 62 × 536 × 131 ) / 2
LCM(62,536,131) = 4353392 / 2
LCM(62,536,131) = 2176696
Lets's calculate GCF of 14,45,584
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2176696/1
Therefore the LCM of Fractions 62/14,536/45,131/584 is 2176696
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Factors of 45
List of positive integer factors of 45 that divides 45 without a remainder.
1,3,5,9,15,45
Factors of 584
List of positive integer factors of 584 that divides 584 without a remainder.
1,2,4,8,73,146,292,584
Greatest Common Factor
We found the factors 14,45,584 . The biggest common factor number is the GCF number.
So the greatest common factor 14,45,584 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 62/14, 536/45, 131/584?
Answer: LCM of Numerators as per given numbers 62/14, 536/45, 131/584 is
LCM of Numerators i.e. for 62,536,131 is 2176696
GCF of denominators i.e. for 14,45,584 is 1.
Thus, LCM of Fractions is 2176696.Finally, LCM of Fractions for 62/14, 536/45, 131/584 is 2176696.