Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 87/487, 62/935, 535/624 quickly i.e. 2885790 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 87/487, 62/935, 535/624 is 2885790.
LCM(87/487, 62/935, 535/624) = 2885790
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 87/487,62/935,535/624
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 87,62,535
Least Common Multiple of Numerators i.e. LCM of 87,62,535 is 2885790.
GCF of Denominators means GCF of 487,935,624 as per the given fractions.
GCF of 487,935,624 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 87,62,535
Given numbers has no common factors except 1. So, there LCM is their product i.e 2885790
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 87,62,535 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,62,535) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(87,62,535) x common factors =1 x 1 = 1
LCM(87,62,535) = ( 87 × 62 × 535 ) / 1
LCM(87,62,535) = 2885790 / 1
LCM(87,62,535) = 2885790
Lets's calculate GCF of 487,935,624
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2885790/1
Therefore the LCM of Fractions 87/487,62/935,535/624 is 2885790
Factors of 487
List of positive integer factors of 487 that divides 487 without a remainder.
1,487
Factors of 935
List of positive integer factors of 935 that divides 935 without a remainder.
1,5,11,17,55,85,187,935
Factors of 624
List of positive integer factors of 624 that divides 624 without a remainder.
1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,208,312,624
Greatest Common Factor
We found the factors 487,935,624 . The biggest common factor number is the GCF number.
So the greatest common factor 487,935,624 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 87/487, 62/935, 535/624?
Answer: LCM of Numerators as per given numbers 87/487, 62/935, 535/624 is
LCM of Numerators i.e. for 87,62,535 is 2885790
GCF of denominators i.e. for 487,935,624 is 1.
Thus, LCM of Fractions is 2885790.Finally, LCM of Fractions for 87/487, 62/935, 535/624 is 2885790.