Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 86/273, 31/367, 280/106 quickly i.e. 373240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 86/273, 31/367, 280/106 is 373240.
LCM(86/273, 31/367, 280/106) = 373240
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 86/273,31/367,280/106
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 86,31,280
Least Common Multiple of Numerators i.e. LCM of 86,31,280 is 373240.
GCF of Denominators means GCF of 273,367,106 as per the given fractions.
GCF of 273,367,106 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 86,31,280
2 | 86, 31, 280 |
43, 31, 140 |
∴ So the LCM of the given numbers is 2 x 43 x 31 x 140 = 373240
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 86,31,280 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(86,31,280) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(86,31,280) x common factors =1 x 2 = 2
LCM(86,31,280) = ( 86 × 31 × 280 ) / 2
LCM(86,31,280) = 746480 / 2
LCM(86,31,280) = 373240
Lets's calculate GCF of 273,367,106
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 373240/1
Therefore the LCM of Fractions 86/273,31/367,280/106 is 373240
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 367
List of positive integer factors of 367 that divides 367 without a remainder.
1,367
Factors of 106
List of positive integer factors of 106 that divides 106 without a remainder.
1,2,53,106
Greatest Common Factor
We found the factors 273,367,106 . The biggest common factor number is the GCF number.
So the greatest common factor 273,367,106 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 86/273, 31/367, 280/106?
Answer: LCM of Numerators as per given numbers 86/273, 31/367, 280/106 is
LCM of Numerators i.e. for 86,31,280 is 373240
GCF of denominators i.e. for 273,367,106 is 1.
Thus, LCM of Fractions is 373240.Finally, LCM of Fractions for 86/273, 31/367, 280/106 is 373240.