Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 31/273, 314/784, 460/952 quickly i.e. 2238820/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 31/273, 314/784, 460/952 is 2238820/7.
LCM(31/273, 314/784, 460/952) = 2238820/7
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 31/273,314/784,460/952
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 31,314,460
Least Common Multiple of Numerators i.e. LCM of 31,314,460 is 2238820.
GCF of Denominators means GCF of 273,784,952 as per the given fractions.
GCF of 273,784,952 is 7 as it is the largest common factor for these numbers.
Lets's calculate LCM of 31,314,460
2 | 31, 314, 460 |
31, 157, 230 |
∴ So the LCM of the given numbers is 2 x 31 x 157 x 230 = 2238820
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 31,314,460 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,314,460) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(31,314,460) x common factors =1 x 2 = 2
LCM(31,314,460) = ( 31 × 314 × 460 ) / 2
LCM(31,314,460) = 4477640 / 2
LCM(31,314,460) = 2238820
Lets's calculate GCF of 273,784,952
7 | 273, 784, 952 |
39, 112, 136 |
∴ So the GCF of the given numbers is 7 = 7
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2238820/7
Therefore the LCM of Fractions 31/273,314/784,460/952 is 2238820/7
Factors of 273
List of positive integer factors of 273 that divides 273 without a remainder.
1,3,7,13,21,39,91,273
Factors of 784
List of positive integer factors of 784 that divides 784 without a remainder.
1,2,4,7,8,14,16,28,49,56,98,112,196,392,784
Factors of 952
List of positive integer factors of 952 that divides 952 without a remainder.
1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952
Greatest Common Factor
We found the factors 273,784,952 . The biggest common factor number is the GCF number.
So the greatest common factor 273,784,952 is 7.
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 31/273, 314/784, 460/952?
Answer: LCM of Numerators as per given numbers 31/273, 314/784, 460/952 is
LCM of Numerators i.e. for 31,314,460 is 2238820
GCF of denominators i.e. for 273,784,952 is 7.
Thus, LCM of Fractions is 2238820/7.Finally, LCM of Fractions for 31/273, 314/784, 460/952 is 2238820/7.