Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 367/878, 102/963, 562/660 quickly i.e. 10518954 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 367/878, 102/963, 562/660 is 10518954.
LCM(367/878, 102/963, 562/660) = 10518954
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 367/878,102/963,562/660
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 367,102,562
Least Common Multiple of Numerators i.e. LCM of 367,102,562 is 10518954.
GCF of Denominators means GCF of 878,963,660 as per the given fractions.
GCF of 878,963,660 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 367,102,562
2 | 367, 102, 562 |
367, 51, 281 |
∴ So the LCM of the given numbers is 2 x 367 x 51 x 281 = 10518954
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 367,102,562 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(367,102,562) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(367,102,562) x common factors =1 x 2 = 2
LCM(367,102,562) = ( 367 × 102 × 562 ) / 2
LCM(367,102,562) = 21037908 / 2
LCM(367,102,562) = 10518954
Lets's calculate GCF of 878,963,660
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10518954/1
Therefore the LCM of Fractions 367/878,102/963,562/660 is 10518954
Factors of 878
List of positive integer factors of 878 that divides 878 without a remainder.
1,2,439,878
Factors of 963
List of positive integer factors of 963 that divides 963 without a remainder.
1,3,9,107,321,963
Factors of 660
List of positive integer factors of 660 that divides 660 without a remainder.
1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660
Greatest Common Factor
We found the factors 878,963,660 . The biggest common factor number is the GCF number.
So the greatest common factor 878,963,660 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 367/878, 102/963, 562/660?
Answer: LCM of Numerators as per given numbers 367/878, 102/963, 562/660 is
LCM of Numerators i.e. for 367,102,562 is 10518954
GCF of denominators i.e. for 878,963,660 is 1.
Thus, LCM of Fractions is 10518954.Finally, LCM of Fractions for 367/878, 102/963, 562/660 is 10518954.