Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 95/753, 88/275, 811/459 quickly i.e. 6779960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 95/753, 88/275, 811/459 is 6779960.
LCM(95/753, 88/275, 811/459) = 6779960
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 95/753,88/275,811/459
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 95,88,811
Least Common Multiple of Numerators i.e. LCM of 95,88,811 is 6779960.
GCF of Denominators means GCF of 753,275,459 as per the given fractions.
GCF of 753,275,459 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 95,88,811
Given numbers has no common factors except 1. So, there LCM is their product i.e 6779960
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 95,88,811 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(95,88,811) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(95,88,811) x common factors =1 x 1 = 1
LCM(95,88,811) = ( 95 × 88 × 811 ) / 1
LCM(95,88,811) = 6779960 / 1
LCM(95,88,811) = 6779960
Lets's calculate GCF of 753,275,459
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6779960/1
Therefore the LCM of Fractions 95/753,88/275,811/459 is 6779960
Factors of 753
List of positive integer factors of 753 that divides 753 without a remainder.
1,3,251,753
Factors of 275
List of positive integer factors of 275 that divides 275 without a remainder.
1,5,11,25,55,275
Factors of 459
List of positive integer factors of 459 that divides 459 without a remainder.
1,3,9,17,27,51,153,459
Greatest Common Factor
We found the factors 753,275,459 . The biggest common factor number is the GCF number.
So the greatest common factor 753,275,459 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 95/753, 88/275, 811/459?
Answer: LCM of Numerators as per given numbers 95/753, 88/275, 811/459 is
LCM of Numerators i.e. for 95,88,811 is 6779960
GCF of denominators i.e. for 753,275,459 is 1.
Thus, LCM of Fractions is 6779960.Finally, LCM of Fractions for 95/753, 88/275, 811/459 is 6779960.