Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 86/110, 37/351, 480/811 quickly i.e. 763680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 86/110, 37/351, 480/811 is 763680.
LCM(86/110, 37/351, 480/811) = 763680
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 86/110,37/351,480/811
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 86,37,480
Least Common Multiple of Numerators i.e. LCM of 86,37,480 is 763680.
GCF of Denominators means GCF of 110,351,811 as per the given fractions.
GCF of 110,351,811 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 86,37,480
2 | 86, 37, 480 |
43, 37, 240 |
∴ So the LCM of the given numbers is 2 x 43 x 37 x 240 = 763680
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 86,37,480 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(86,37,480) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(86,37,480) x common factors =1 x 2 = 2
LCM(86,37,480) = ( 86 × 37 × 480 ) / 2
LCM(86,37,480) = 1527360 / 2
LCM(86,37,480) = 763680
Lets's calculate GCF of 110,351,811
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 763680/1
Therefore the LCM of Fractions 86/110,37/351,480/811 is 763680
Factors of 110
List of positive integer factors of 110 that divides 110 without a remainder.
1,2,5,10,11,22,55,110
Factors of 351
List of positive integer factors of 351 that divides 351 without a remainder.
1,3,9,13,27,39,117,351
Factors of 811
List of positive integer factors of 811 that divides 811 without a remainder.
1,811
Greatest Common Factor
We found the factors 110,351,811 . The biggest common factor number is the GCF number.
So the greatest common factor 110,351,811 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 86/110, 37/351, 480/811?
Answer: LCM of Numerators as per given numbers 86/110, 37/351, 480/811 is
LCM of Numerators i.e. for 86,37,480 is 763680
GCF of denominators i.e. for 110,351,811 is 1.
Thus, LCM of Fractions is 763680.Finally, LCM of Fractions for 86/110, 37/351, 480/811 is 763680.