Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 93/66, 716/10, 283/628 quickly i.e. 9422202 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 93/66, 716/10, 283/628 is 9422202.
LCM(93/66, 716/10, 283/628) = 9422202
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 93/66,716/10,283/628
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 93,716,283
Least Common Multiple of Numerators i.e. LCM of 93,716,283 is 18844404.
GCF of Denominators means GCF of 66,10,628 as per the given fractions.
GCF of 66,10,628 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 93,716,283
Given numbers has no common factors except 1. So, there LCM is their product i.e 18844404
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 93,716,283 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(93,716,283) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(93,716,283) x common factors =1 x 1 = 1
LCM(93,716,283) = ( 93 × 716 × 283 ) / 1
LCM(93,716,283) = 18844404 / 1
LCM(93,716,283) = 18844404
Lets's calculate GCF of 66,10,628
2 | 66, 10, 628 |
33, 5, 314 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18844404/2
Therefore the LCM of Fractions 93/66,716/10,283/628 is 9422202
Factors of 66
List of positive integer factors of 66 that divides 66 without a remainder.
1,2,3,6,11,22,33,66
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
Factors of 628
List of positive integer factors of 628 that divides 628 without a remainder.
1,2,4,157,314,628
Greatest Common Factor
We found the factors 66,10,628 . The biggest common factor number is the GCF number.
So the greatest common factor 66,10,628 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 93/66, 716/10, 283/628?
Answer: LCM of Numerators as per given numbers 93/66, 716/10, 283/628 is
LCM of Numerators i.e. for 93,716,283 is 18844404
GCF of denominators i.e. for 66,10,628 is 2.
Thus, LCM of Fractions is 9422202.Finally, LCM of Fractions for 93/66, 716/10, 283/628 is 9422202.