Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 68/226, 60/685, 749/466 quickly i.e. 763980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 68/226, 60/685, 749/466 is 763980.
LCM(68/226, 60/685, 749/466) = 763980
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 68/226,60/685,749/466
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 68,60,749
Least Common Multiple of Numerators i.e. LCM of 68,60,749 is 763980.
GCF of Denominators means GCF of 226,685,466 as per the given fractions.
GCF of 226,685,466 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 68,60,749
2 | 68, 60, 749 |
2 | 34, 30, 749 |
17, 15, 749 |
∴ So the LCM of the given numbers is 2 x 2 x 17 x 15 x 749 = 763980
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 68,60,749 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(68,60,749) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(68,60,749) x common factors =1 x 4 = 4
LCM(68,60,749) = ( 68 × 60 × 749 ) / 4
LCM(68,60,749) = 3055920 / 4
LCM(68,60,749) = 763980
Lets's calculate GCF of 226,685,466
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 763980/1
Therefore the LCM of Fractions 68/226,60/685,749/466 is 763980
Factors of 226
List of positive integer factors of 226 that divides 226 without a remainder.
1,2,113,226
Factors of 685
List of positive integer factors of 685 that divides 685 without a remainder.
1,5,137,685
Factors of 466
List of positive integer factors of 466 that divides 466 without a remainder.
1,2,233,466
Greatest Common Factor
We found the factors 226,685,466 . The biggest common factor number is the GCF number.
So the greatest common factor 226,685,466 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 68/226, 60/685, 749/466?
Answer: LCM of Numerators as per given numbers 68/226, 60/685, 749/466 is
LCM of Numerators i.e. for 68,60,749 is 763980
GCF of denominators i.e. for 226,685,466 is 1.
Thus, LCM of Fractions is 763980.Finally, LCM of Fractions for 68/226, 60/685, 749/466 is 763980.