Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 957/26, 854/28, 860/78 quickly i.e. 175714770 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 957/26, 854/28, 860/78 is 175714770.
LCM(957/26, 854/28, 860/78) = 175714770
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 957/26,854/28,860/78
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 957,854,860
Least Common Multiple of Numerators i.e. LCM of 957,854,860 is 351429540.
GCF of Denominators means GCF of 26,28,78 as per the given fractions.
GCF of 26,28,78 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 957,854,860
2 | 957, 854, 860 |
957, 427, 430 |
∴ So the LCM of the given numbers is 2 x 957 x 427 x 430 = 351429540
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 957,854,860 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(957,854,860) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(957,854,860) x common factors =1 x 2 = 2
LCM(957,854,860) = ( 957 × 854 × 860 ) / 2
LCM(957,854,860) = 702859080 / 2
LCM(957,854,860) = 351429540
Lets's calculate GCF of 26,28,78
2 | 26, 28, 78 |
13, 14, 39 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 351429540/2
Therefore the LCM of Fractions 957/26,854/28,860/78 is 175714770
Factors of 26
List of positive integer factors of 26 that divides 26 without a remainder.
1,2,13,26
Factors of 28
List of positive integer factors of 28 that divides 28 without a remainder.
1,2,4,7,14,28
Factors of 78
List of positive integer factors of 78 that divides 78 without a remainder.
1,2,3,6,13,26,39,78
Greatest Common Factor
We found the factors 26,28,78 . The biggest common factor number is the GCF number.
So the greatest common factor 26,28,78 is 2.
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 957/26, 854/28, 860/78?
Answer: LCM of Numerators as per given numbers 957/26, 854/28, 860/78 is
LCM of Numerators i.e. for 957,854,860 is 351429540
GCF of denominators i.e. for 26,28,78 is 2.
Thus, LCM of Fractions is 175714770.Finally, LCM of Fractions for 957/26, 854/28, 860/78 is 175714770.