Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 66/314, 62/475, 668/830 quickly i.e. 683364 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 66/314, 62/475, 668/830 is 683364.
LCM(66/314, 62/475, 668/830) = 683364
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 66/314,62/475,668/830
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 66,62,668
Least Common Multiple of Numerators i.e. LCM of 66,62,668 is 683364.
GCF of Denominators means GCF of 314,475,830 as per the given fractions.
GCF of 314,475,830 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 66,62,668
2 | 66, 62, 668 |
33, 31, 334 |
∴ So the LCM of the given numbers is 2 x 33 x 31 x 334 = 683364
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 66,62,668 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(66,62,668) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(66,62,668) x common factors =2 x 2 = 4
LCM(66,62,668) = ( 66 × 62 × 668 ) / 4
LCM(66,62,668) = 2733456 / 4
LCM(66,62,668) = 683364
Lets's calculate GCF of 314,475,830
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 683364/1
Therefore the LCM of Fractions 66/314,62/475,668/830 is 683364
Factors of 314
List of positive integer factors of 314 that divides 314 without a remainder.
1,2,157,314
Factors of 475
List of positive integer factors of 475 that divides 475 without a remainder.
1,5,19,25,95,475
Factors of 830
List of positive integer factors of 830 that divides 830 without a remainder.
1,2,5,10,83,166,415,830
Greatest Common Factor
We found the factors 314,475,830 . The biggest common factor number is the GCF number.
So the greatest common factor 314,475,830 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 66/314, 62/475, 668/830?
Answer: LCM of Numerators as per given numbers 66/314, 62/475, 668/830 is
LCM of Numerators i.e. for 66,62,668 is 683364
GCF of denominators i.e. for 314,475,830 is 1.
Thus, LCM of Fractions is 683364.Finally, LCM of Fractions for 66/314, 62/475, 668/830 is 683364.