Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 976/153, 1212/616 quickly i.e. 295728 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 976/153, 1212/616 is 295728.
LCM(976/153, 1212/616) = 295728
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 976/153,1212/616
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 976,1212
Least Common Multiple of Numerators i.e. LCM of 976,1212 is 295728.
GCF of Denominators means GCF of 153,616 as per the given fractions.
GCF of 153,616 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 976,1212
2 | 976, 1212 |
2 | 488, 606 |
244, 303 |
∴ So the LCM of the given numbers is 2 x 2 x 244 x 303 = 295728
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 976,1212 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(976,1212) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(976,1212) x common factors =4 x 1 = 4
LCM(976,1212) = ( 976 × 1212 ) / 4
LCM(976,1212) = 1182912 / 4
LCM(976,1212) = 295728
Lets's calculate GCF of 153,616
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 295728/1
Therefore the LCM of Fractions 976/153,1212/616 is 295728
Factors of 153
List of positive integer factors of 153 that divides 153 without a remainder.
1,3,9,17,51,153
Factors of 616
List of positive integer factors of 616 that divides 616 without a remainder.
1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616
Greatest Common Factor
We found the factors 153,616 . The biggest common factor number is the GCF number.
So the greatest common factor 153,616 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 976/153, 1212/616?
Answer: LCM of Numerators as per given numbers 976/153, 1212/616 is
LCM of Numerators i.e. for 976,1212 is 295728
GCF of denominators i.e. for 153,616 is 1.
Thus, LCM of Fractions is 295728.Finally, LCM of Fractions for 976/153, 1212/616 is 295728.