Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 79/656, 882/758, 123/395 quickly i.e. 2856798 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 79/656, 882/758, 123/395 is 2856798.
LCM(79/656, 882/758, 123/395) = 2856798
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 79/656,882/758,123/395
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 79,882,123
Least Common Multiple of Numerators i.e. LCM of 79,882,123 is 2856798.
GCF of Denominators means GCF of 656,758,395 as per the given fractions.
GCF of 656,758,395 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 79,882,123
3 | 79, 882, 123 |
79, 294, 41 |
∴ So the LCM of the given numbers is 3 x 79 x 294 x 41 = 2856798
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 79,882,123 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,882,123) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(79,882,123) x common factors =1 x 3 = 3
LCM(79,882,123) = ( 79 × 882 × 123 ) / 3
LCM(79,882,123) = 8570394 / 3
LCM(79,882,123) = 2856798
Lets's calculate GCF of 656,758,395
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2856798/1
Therefore the LCM of Fractions 79/656,882/758,123/395 is 2856798
Factors of 656
List of positive integer factors of 656 that divides 656 without a remainder.
1,2,4,8,16,41,82,164,328,656
Factors of 758
List of positive integer factors of 758 that divides 758 without a remainder.
1,2,379,758
Factors of 395
List of positive integer factors of 395 that divides 395 without a remainder.
1,5,79,395
Greatest Common Factor
We found the factors 656,758,395 . The biggest common factor number is the GCF number.
So the greatest common factor 656,758,395 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 79/656, 882/758, 123/395?
Answer: LCM of Numerators as per given numbers 79/656, 882/758, 123/395 is
LCM of Numerators i.e. for 79,882,123 is 2856798
GCF of denominators i.e. for 656,758,395 is 1.
Thus, LCM of Fractions is 2856798.Finally, LCM of Fractions for 79/656, 882/758, 123/395 is 2856798.