Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 777/75, 247/16, 106/240 quickly i.e. 20343414 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 777/75, 247/16, 106/240 is 20343414.
LCM(777/75, 247/16, 106/240) = 20343414
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 777/75,247/16,106/240
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 777,247,106
Least Common Multiple of Numerators i.e. LCM of 777,247,106 is 20343414.
GCF of Denominators means GCF of 75,16,240 as per the given fractions.
GCF of 75,16,240 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 777,247,106
Given numbers has no common factors except 1. So, there LCM is their product i.e 20343414
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 777,247,106 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(777,247,106) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(777,247,106) x common factors =1 x 1 = 1
LCM(777,247,106) = ( 777 × 247 × 106 ) / 1
LCM(777,247,106) = 20343414 / 1
LCM(777,247,106) = 20343414
Lets's calculate GCF of 75,16,240
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20343414/1
Therefore the LCM of Fractions 777/75,247/16,106/240 is 20343414
Factors of 75
List of positive integer factors of 75 that divides 75 without a remainder.
1,3,5,15,25,75
Factors of 16
List of positive integer factors of 16 that divides 16 without a remainder.
1,2,4,8,16
Factors of 240
List of positive integer factors of 240 that divides 240 without a remainder.
1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240
Greatest Common Factor
We found the factors 75,16,240 . The biggest common factor number is the GCF number.
So the greatest common factor 75,16,240 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 777/75, 247/16, 106/240?
Answer: LCM of Numerators as per given numbers 777/75, 247/16, 106/240 is
LCM of Numerators i.e. for 777,247,106 is 20343414
GCF of denominators i.e. for 75,16,240 is 1.
Thus, LCM of Fractions is 20343414.Finally, LCM of Fractions for 777/75, 247/16, 106/240 is 20343414.