Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 74/264, 97/976, 509/266 quickly i.e. 1826801 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 74/264, 97/976, 509/266 is 1826801.
LCM(74/264, 97/976, 509/266) = 1826801
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 74/264,97/976,509/266
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 74,97,509
Least Common Multiple of Numerators i.e. LCM of 74,97,509 is 3653602.
GCF of Denominators means GCF of 264,976,266 as per the given fractions.
GCF of 264,976,266 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 74,97,509
Given numbers has no common factors except 1. So, there LCM is their product i.e 3653602
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 74,97,509 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,97,509) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(74,97,509) x common factors =1 x 1 = 1
LCM(74,97,509) = ( 74 × 97 × 509 ) / 1
LCM(74,97,509) = 3653602 / 1
LCM(74,97,509) = 3653602
Lets's calculate GCF of 264,976,266
2 | 264, 976, 266 |
132, 488, 133 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3653602/2
Therefore the LCM of Fractions 74/264,97/976,509/266 is 1826801
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
Factors of 976
List of positive integer factors of 976 that divides 976 without a remainder.
1,2,4,8,16,61,122,244,488,976
Factors of 266
List of positive integer factors of 266 that divides 266 without a remainder.
1,2,7,14,19,38,133,266
Greatest Common Factor
We found the factors 264,976,266 . The biggest common factor number is the GCF number.
So the greatest common factor 264,976,266 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 74/264, 97/976, 509/266?
Answer: LCM of Numerators as per given numbers 74/264, 97/976, 509/266 is
LCM of Numerators i.e. for 74,97,509 is 3653602
GCF of denominators i.e. for 264,976,266 is 2.
Thus, LCM of Fractions is 1826801.Finally, LCM of Fractions for 74/264, 97/976, 509/266 is 1826801.