Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 931/20, 126/1225 quickly i.e. 16758/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 931/20, 126/1225 is 16758/5.
LCM(931/20, 126/1225) = 16758/5
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 931/20,126/1225
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 931,126
Least Common Multiple of Numerators i.e. LCM of 931,126 is 16758.
GCF of Denominators means GCF of 20,1225 as per the given fractions.
GCF of 20,1225 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 931,126
7 | 931, 126 |
133, 18 |
∴ So the LCM of the given numbers is 7 x 133 x 18 = 16758
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 931,126 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(931,126) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(931,126) x common factors =7 x 1 = 7
LCM(931,126) = ( 931 × 126 ) / 7
LCM(931,126) = 117306 / 7
LCM(931,126) = 16758
Lets's calculate GCF of 20,1225
5 | 20, 1225 |
4, 245 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16758/5
Therefore the LCM of Fractions 931/20,126/1225 is 16758/5
Factors of 20
List of positive integer factors of 20 that divides 20 without a remainder.
1,2,4,5,10,20
Factors of 1225
List of positive integer factors of 1225 that divides 1225 without a remainder.
1,5,7,25,35,49,175,245,1225
Greatest Common Factor
We found the factors 20,1225 . The biggest common factor number is the GCF number.
So the greatest common factor 20,1225 is 5.
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 931/20, 126/1225?
Answer: LCM of Numerators as per given numbers 931/20, 126/1225 is
LCM of Numerators i.e. for 931,126 is 16758
GCF of denominators i.e. for 20,1225 is 5.
Thus, LCM of Fractions is 16758/5.Finally, LCM of Fractions for 931/20, 126/1225 is 16758/5.