Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 757/243, 810/550, 781/352 quickly i.e. 478885770 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 757/243, 810/550, 781/352 is 478885770.
LCM(757/243, 810/550, 781/352) = 478885770
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 757/243,810/550,781/352
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 757,810,781
Least Common Multiple of Numerators i.e. LCM of 757,810,781 is 478885770.
GCF of Denominators means GCF of 243,550,352 as per the given fractions.
GCF of 243,550,352 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 757,810,781
Given numbers has no common factors except 1. So, there LCM is their product i.e 478885770
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 757,810,781 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(757,810,781) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(757,810,781) x common factors =1 x 1 = 1
LCM(757,810,781) = ( 757 × 810 × 781 ) / 1
LCM(757,810,781) = 478885770 / 1
LCM(757,810,781) = 478885770
Lets's calculate GCF of 243,550,352
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 478885770/1
Therefore the LCM of Fractions 757/243,810/550,781/352 is 478885770
Factors of 243
List of positive integer factors of 243 that divides 243 without a remainder.
1,3,9,27,81,243
Factors of 550
List of positive integer factors of 550 that divides 550 without a remainder.
1,2,5,10,11,22,25,50,55,110,275,550
Factors of 352
List of positive integer factors of 352 that divides 352 without a remainder.
1,2,4,8,11,16,22,32,44,88,176,352
Greatest Common Factor
We found the factors 243,550,352 . The biggest common factor number is the GCF number.
So the greatest common factor 243,550,352 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 757/243, 810/550, 781/352?
Answer: LCM of Numerators as per given numbers 757/243, 810/550, 781/352 is
LCM of Numerators i.e. for 757,810,781 is 478885770
GCF of denominators i.e. for 243,550,352 is 1.
Thus, LCM of Fractions is 478885770.Finally, LCM of Fractions for 757/243, 810/550, 781/352 is 478885770.