Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 953/27, 579/62, 757/88 quickly i.e. 417702759 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 953/27, 579/62, 757/88 is 417702759.
LCM(953/27, 579/62, 757/88) = 417702759
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 953/27,579/62,757/88
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 953,579,757
Least Common Multiple of Numerators i.e. LCM of 953,579,757 is 417702759.
GCF of Denominators means GCF of 27,62,88 as per the given fractions.
GCF of 27,62,88 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 953,579,757
Given numbers has no common factors except 1. So, there LCM is their product i.e 417702759
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 953,579,757 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(953,579,757) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(953,579,757) x common factors =1 x 1 = 1
LCM(953,579,757) = ( 953 × 579 × 757 ) / 1
LCM(953,579,757) = 417702759 / 1
LCM(953,579,757) = 417702759
Lets's calculate GCF of 27,62,88
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 417702759/1
Therefore the LCM of Fractions 953/27,579/62,757/88 is 417702759
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
Factors of 88
List of positive integer factors of 88 that divides 88 without a remainder.
1,2,4,8,11,22,44,88
Greatest Common Factor
We found the factors 27,62,88 . The biggest common factor number is the GCF number.
So the greatest common factor 27,62,88 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 953/27, 579/62, 757/88?
Answer: LCM of Numerators as per given numbers 953/27, 579/62, 757/88 is
LCM of Numerators i.e. for 953,579,757 is 417702759
GCF of denominators i.e. for 27,62,88 is 1.
Thus, LCM of Fractions is 417702759.Finally, LCM of Fractions for 953/27, 579/62, 757/88 is 417702759.