Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 775/666, 314/302, 182/844 quickly i.e. 11072425 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 775/666, 314/302, 182/844 is 11072425.
LCM(775/666, 314/302, 182/844) = 11072425
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 775/666,314/302,182/844
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 775,314,182
Least Common Multiple of Numerators i.e. LCM of 775,314,182 is 22144850.
GCF of Denominators means GCF of 666,302,844 as per the given fractions.
GCF of 666,302,844 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 775,314,182
2 | 775, 314, 182 |
775, 157, 91 |
∴ So the LCM of the given numbers is 2 x 775 x 157 x 91 = 22144850
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 775,314,182 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(775,314,182) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(775,314,182) x common factors =1 x 2 = 2
LCM(775,314,182) = ( 775 × 314 × 182 ) / 2
LCM(775,314,182) = 44289700 / 2
LCM(775,314,182) = 22144850
Lets's calculate GCF of 666,302,844
2 | 666, 302, 844 |
333, 151, 422 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22144850/2
Therefore the LCM of Fractions 775/666,314/302,182/844 is 11072425
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 302
List of positive integer factors of 302 that divides 302 without a remainder.
1,2,151,302
Factors of 844
List of positive integer factors of 844 that divides 844 without a remainder.
1,2,4,211,422,844
Greatest Common Factor
We found the factors 666,302,844 . The biggest common factor number is the GCF number.
So the greatest common factor 666,302,844 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 775/666, 314/302, 182/844?
Answer: LCM of Numerators as per given numbers 775/666, 314/302, 182/844 is
LCM of Numerators i.e. for 775,314,182 is 22144850
GCF of denominators i.e. for 666,302,844 is 2.
Thus, LCM of Fractions is 11072425.Finally, LCM of Fractions for 775/666, 314/302, 182/844 is 11072425.