Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 80/110, 47/790, 113/762 quickly i.e. 212440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 80/110, 47/790, 113/762 is 212440.
LCM(80/110, 47/790, 113/762) = 212440
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 80/110,47/790,113/762
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 80,47,113
Least Common Multiple of Numerators i.e. LCM of 80,47,113 is 424880.
GCF of Denominators means GCF of 110,790,762 as per the given fractions.
GCF of 110,790,762 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 80,47,113
Given numbers has no common factors except 1. So, there LCM is their product i.e 424880
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 80,47,113 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(80,47,113) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(80,47,113) x common factors =1 x 1 = 1
LCM(80,47,113) = ( 80 × 47 × 113 ) / 1
LCM(80,47,113) = 424880 / 1
LCM(80,47,113) = 424880
Lets's calculate GCF of 110,790,762
2 | 110, 790, 762 |
55, 395, 381 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 424880/2
Therefore the LCM of Fractions 80/110,47/790,113/762 is 212440
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 790
List of positive integer factors of 790 that divides 790 without a remainder.
1,2,5,10,79,158,395,790
Factors of 762
List of positive integer factors of 762 that divides 762 without a remainder.
1,2,3,6,127,254,381,762
Greatest Common Factor
We found the factors 110,790,762 . The biggest common factor number is the GCF number.
So the greatest common factor 110,790,762 is 2.
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 80/110, 47/790, 113/762?
Answer: LCM of Numerators as per given numbers 80/110, 47/790, 113/762 is
LCM of Numerators i.e. for 80,47,113 is 424880
GCF of denominators i.e. for 110,790,762 is 2.
Thus, LCM of Fractions is 212440.Finally, LCM of Fractions for 80/110, 47/790, 113/762 is 212440.