Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 266/754, 4328/6646 quickly i.e. 287812 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 266/754, 4328/6646 is 287812.
LCM(266/754, 4328/6646) = 287812
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 266/754,4328/6646
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 266,4328
Least Common Multiple of Numerators i.e. LCM of 266,4328 is 575624.
GCF of Denominators means GCF of 754,6646 as per the given fractions.
GCF of 754,6646 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 266,4328
2 | 266, 4328 |
133, 2164 |
∴ So the LCM of the given numbers is 2 x 133 x 2164 = 575624
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 266,4328 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(266,4328) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(266,4328) x common factors =2 x 1 = 2
LCM(266,4328) = ( 266 × 4328 ) / 2
LCM(266,4328) = 1151248 / 2
LCM(266,4328) = 575624
Lets's calculate GCF of 754,6646
2 | 754, 6646 |
377, 3323 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 575624/2
Therefore the LCM of Fractions 266/754,4328/6646 is 287812
Factors of 754
List of positive integer factors of 754 that divides 754 without a remainder.
1,2,13,26,29,58,377,754
Factors of 6646
List of positive integer factors of 6646 that divides 6646 without a remainder.
1,2,3323,6646
Greatest Common Factor
We found the factors 754,6646 . The biggest common factor number is the GCF number.
So the greatest common factor 754,6646 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 266/754, 4328/6646?
Answer: LCM of Numerators as per given numbers 266/754, 4328/6646 is
LCM of Numerators i.e. for 266,4328 is 575624
GCF of denominators i.e. for 754,6646 is 2.
Thus, LCM of Fractions is 287812.Finally, LCM of Fractions for 266/754, 4328/6646 is 287812.