Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2/468, 17/714, 78/341 quickly i.e. 1326 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2/468, 17/714, 78/341 is 1326.
LCM(2/468, 17/714, 78/341) = 1326
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2/468,17/714,78/341
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 2,17,78
Least Common Multiple of Numerators i.e. LCM of 2,17,78 is 1326.
GCF of Denominators means GCF of 468,714,341 as per the given fractions.
GCF of 468,714,341 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2,17,78
2 | 2, 17, 78 |
1, 17, 39 |
∴ So the LCM of the given numbers is 2 x 1 x 17 x 39 = 1326
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 2,17,78 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2,17,78) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(2,17,78) x common factors =1 x 2 = 2
LCM(2,17,78) = ( 2 × 17 × 78 ) / 2
LCM(2,17,78) = 2652 / 2
LCM(2,17,78) = 1326
Lets's calculate GCF of 468,714,341
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1326/1
Therefore the LCM of Fractions 2/468,17/714,78/341 is 1326
Factors of 468
List of positive integer factors of 468 that divides 468 without a remainder.
1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468
Factors of 714
List of positive integer factors of 714 that divides 714 without a remainder.
1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714
Factors of 341
List of positive integer factors of 341 that divides 341 without a remainder.
1,11,31,341
Greatest Common Factor
We found the factors 468,714,341 . The biggest common factor number is the GCF number.
So the greatest common factor 468,714,341 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 2/468, 17/714, 78/341?
Answer: LCM of Numerators as per given numbers 2/468, 17/714, 78/341 is
LCM of Numerators i.e. for 2,17,78 is 1326
GCF of denominators i.e. for 468,714,341 is 1.
Thus, LCM of Fractions is 1326.Finally, LCM of Fractions for 2/468, 17/714, 78/341 is 1326.