Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 27/265, 402/519, 134/822 quickly i.e. 3618 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 27/265, 402/519, 134/822 is 3618.
LCM(27/265, 402/519, 134/822) = 3618
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 27/265,402/519,134/822
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 27,402,134
Least Common Multiple of Numerators i.e. LCM of 27,402,134 is 3618.
GCF of Denominators means GCF of 265,519,822 as per the given fractions.
GCF of 265,519,822 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 27,402,134
2 | 27, 402, 134 |
3 | 27, 201, 67 |
67 | 9, 67, 67 |
9, 1, 1 |
∴ So the LCM of the given numbers is 2 x 3 x 67 x 9 x 1 x 1 = 3618
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 27,402,134 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(27,402,134) = 1
common factors(in case of two or more numbers have common factors) = 402
GCF(27,402,134) x common factors =1 x 402 = 402
LCM(27,402,134) = ( 27 × 402 × 134 ) / 402
LCM(27,402,134) = 1454436 / 402
LCM(27,402,134) = 3618
Lets's calculate GCF of 265,519,822
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3618/1
Therefore the LCM of Fractions 27/265,402/519,134/822 is 3618
Factors of 265
List of positive integer factors of 265 that divides 265 without a remainder.
1,5,53,265
Factors of 519
List of positive integer factors of 519 that divides 519 without a remainder.
1,3,173,519
Factors of 822
List of positive integer factors of 822 that divides 822 without a remainder.
1,2,3,6,137,274,411,822
Greatest Common Factor
We found the factors 265,519,822 . The biggest common factor number is the GCF number.
So the greatest common factor 265,519,822 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 27/265, 402/519, 134/822?
Answer: LCM of Numerators as per given numbers 27/265, 402/519, 134/822 is
LCM of Numerators i.e. for 27,402,134 is 3618
GCF of denominators i.e. for 265,519,822 is 1.
Thus, LCM of Fractions is 3618.Finally, LCM of Fractions for 27/265, 402/519, 134/822 is 3618.