Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 52/970, 57/302, 649/922 quickly i.e. 961818 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 52/970, 57/302, 649/922 is 961818.
LCM(52/970, 57/302, 649/922) = 961818
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 52/970,57/302,649/922
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 52,57,649
Least Common Multiple of Numerators i.e. LCM of 52,57,649 is 1923636.
GCF of Denominators means GCF of 970,302,922 as per the given fractions.
GCF of 970,302,922 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 52,57,649
Given numbers has no common factors except 1. So, there LCM is their product i.e 1923636
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 52,57,649 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,57,649) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(52,57,649) x common factors =1 x 1 = 1
LCM(52,57,649) = ( 52 × 57 × 649 ) / 1
LCM(52,57,649) = 1923636 / 1
LCM(52,57,649) = 1923636
Lets's calculate GCF of 970,302,922
2 | 970, 302, 922 |
485, 151, 461 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1923636/2
Therefore the LCM of Fractions 52/970,57/302,649/922 is 961818
Factors of 970
List of positive integer factors of 970 that divides 970 without a remainder.
1,2,5,10,97,194,485,970
Factors of 302
List of positive integer factors of 302 that divides 302 without a remainder.
1,2,151,302
Factors of 922
List of positive integer factors of 922 that divides 922 without a remainder.
1,2,461,922
Greatest Common Factor
We found the factors 970,302,922 . The biggest common factor number is the GCF number.
So the greatest common factor 970,302,922 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 52/970, 57/302, 649/922?
Answer: LCM of Numerators as per given numbers 52/970, 57/302, 649/922 is
LCM of Numerators i.e. for 52,57,649 is 1923636
GCF of denominators i.e. for 970,302,922 is 2.
Thus, LCM of Fractions is 961818.Finally, LCM of Fractions for 52/970, 57/302, 649/922 is 961818.