Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 27/678, 255/232, 265/953 quickly i.e. 121635 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 27/678, 255/232, 265/953 is 121635.
LCM(27/678, 255/232, 265/953) = 121635
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 27/678,255/232,265/953
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 27,255,265
Least Common Multiple of Numerators i.e. LCM of 27,255,265 is 121635.
GCF of Denominators means GCF of 678,232,953 as per the given fractions.
GCF of 678,232,953 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 27,255,265
3 | 27, 255, 265 |
5 | 9, 85, 265 |
9, 17, 53 |
∴ So the LCM of the given numbers is 3 x 5 x 9 x 17 x 53 = 121635
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 27,255,265 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(27,255,265) = 1
common factors(in case of two or more numbers have common factors) = 15
GCF(27,255,265) x common factors =1 x 15 = 15
LCM(27,255,265) = ( 27 × 255 × 265 ) / 15
LCM(27,255,265) = 1824525 / 15
LCM(27,255,265) = 121635
Lets's calculate GCF of 678,232,953
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 121635/1
Therefore the LCM of Fractions 27/678,255/232,265/953 is 121635
Factors of 678
List of positive integer factors of 678 that divides 678 without a remainder.
1,2,3,6,113,226,339,678
Factors of 232
List of positive integer factors of 232 that divides 232 without a remainder.
1,2,4,8,29,58,116,232
Factors of 953
List of positive integer factors of 953 that divides 953 without a remainder.
1,953
Greatest Common Factor
We found the factors 678,232,953 . The biggest common factor number is the GCF number.
So the greatest common factor 678,232,953 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 27/678, 255/232, 265/953?
Answer: LCM of Numerators as per given numbers 27/678, 255/232, 265/953 is
LCM of Numerators i.e. for 27,255,265 is 121635
GCF of denominators i.e. for 678,232,953 is 1.
Thus, LCM of Fractions is 121635.Finally, LCM of Fractions for 27/678, 255/232, 265/953 is 121635.