Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 90/536, 6759/6248 quickly i.e. 67590/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 90/536, 6759/6248 is 67590/8.
LCM(90/536, 6759/6248) = 67590/8
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 90/536,6759/6248
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 90,6759
Least Common Multiple of Numerators i.e. LCM of 90,6759 is 67590.
GCF of Denominators means GCF of 536,6248 as per the given fractions.
GCF of 536,6248 is 8 as it is the largest common factor for these numbers.
Lets's calculate LCM of 90,6759
3 | 90, 6759 |
3 | 30, 2253 |
10, 751 |
∴ So the LCM of the given numbers is 3 x 3 x 10 x 751 = 67590
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 90,6759 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(90,6759) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(90,6759) x common factors =9 x 1 = 9
LCM(90,6759) = ( 90 × 6759 ) / 9
LCM(90,6759) = 608310 / 9
LCM(90,6759) = 67590
Lets's calculate GCF of 536,6248
2 | 536, 6248 |
2 | 268, 3124 |
2 | 134, 1562 |
67, 781 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67590/8
Therefore the LCM of Fractions 90/536,6759/6248 is 67590/8
Factors of 536
List of positive integer factors of 536 that divides 536 without a remainder.
1,2,4,8,67,134,268,536
Factors of 6248
List of positive integer factors of 6248 that divides 6248 without a remainder.
1,2,4,8,11,22,44,71,88,142,284,568,781,1562,3124,6248
Greatest Common Factor
We found the factors 536,6248 . The biggest common factor number is the GCF number.
So the greatest common factor 536,6248 is 8.
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 90/536, 6759/6248?
Answer: LCM of Numerators as per given numbers 90/536, 6759/6248 is
LCM of Numerators i.e. for 90,6759 is 67590
GCF of denominators i.e. for 536,6248 is 8.
Thus, LCM of Fractions is 67590/8.Finally, LCM of Fractions for 90/536, 6759/6248 is 67590/8.