Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4/537, 83/335, 98/264 quickly i.e. 16268 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4/537, 83/335, 98/264 is 16268.
LCM(4/537, 83/335, 98/264) = 16268
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4/537,83/335,98/264
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 4,83,98
Least Common Multiple of Numerators i.e. LCM of 4,83,98 is 16268.
GCF of Denominators means GCF of 537,335,264 as per the given fractions.
GCF of 537,335,264 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4,83,98
2 | 4, 83, 98 |
2, 83, 49 |
∴ So the LCM of the given numbers is 2 x 2 x 83 x 49 = 16268
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 4,83,98 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4,83,98) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(4,83,98) x common factors =1 x 2 = 2
LCM(4,83,98) = ( 4 × 83 × 98 ) / 2
LCM(4,83,98) = 32536 / 2
LCM(4,83,98) = 16268
Lets's calculate GCF of 537,335,264
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16268/1
Therefore the LCM of Fractions 4/537,83/335,98/264 is 16268
Factors of 537
List of positive integer factors of 537 that divides 537 without a remainder.
1,3,179,537
Factors of 335
List of positive integer factors of 335 that divides 335 without a remainder.
1,5,67,335
Factors of 264
List of positive integer factors of 264 that divides 264 without a remainder.
1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264
Greatest Common Factor
We found the factors 537,335,264 . The biggest common factor number is the GCF number.
So the greatest common factor 537,335,264 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 4/537, 83/335, 98/264?
Answer: LCM of Numerators as per given numbers 4/537, 83/335, 98/264 is
LCM of Numerators i.e. for 4,83,98 is 16268
GCF of denominators i.e. for 537,335,264 is 1.
Thus, LCM of Fractions is 16268.Finally, LCM of Fractions for 4/537, 83/335, 98/264 is 16268.