Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 152/666, 2213/627 quickly i.e. 336376/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 152/666, 2213/627 is 336376/3.
LCM(152/666, 2213/627) = 336376/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 152/666,2213/627
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 152,2213
Least Common Multiple of Numerators i.e. LCM of 152,2213 is 336376.
GCF of Denominators means GCF of 666,627 as per the given fractions.
GCF of 666,627 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 152,2213
Given numbers has no common factors except 1. So, there LCM is their product i.e 336376
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 152,2213 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(152,2213) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(152,2213) x common factors =1 x 1 = 1
LCM(152,2213) = ( 152 × 2213 ) / 1
LCM(152,2213) = 336376 / 1
LCM(152,2213) = 336376
Lets's calculate GCF of 666,627
3 | 666, 627 |
222, 209 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 336376/3
Therefore the LCM of Fractions 152/666,2213/627 is 336376/3
Factors of 666
List of positive integer factors of 666 that divides 666 without a remainder.
1,2,3,6,9,18,37,74,111,222,333,666
Factors of 627
List of positive integer factors of 627 that divides 627 without a remainder.
1,3,11,19,33,57,209,627
Greatest Common Factor
We found the factors 666,627 . The biggest common factor number is the GCF number.
So the greatest common factor 666,627 is 3.
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 152/666, 2213/627?
Answer: LCM of Numerators as per given numbers 152/666, 2213/627 is
LCM of Numerators i.e. for 152,2213 is 336376
GCF of denominators i.e. for 666,627 is 3.
Thus, LCM of Fractions is 336376/3.Finally, LCM of Fractions for 152/666, 2213/627 is 336376/3.