Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 98/572, 37/945, 936/971 quickly i.e. 1696968 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 98/572, 37/945, 936/971 is 1696968.
LCM(98/572, 37/945, 936/971) = 1696968
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 98/572,37/945,936/971
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 98,37,936
Least Common Multiple of Numerators i.e. LCM of 98,37,936 is 1696968.
GCF of Denominators means GCF of 572,945,971 as per the given fractions.
GCF of 572,945,971 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 98,37,936
2 | 98, 37, 936 |
49, 37, 468 |
∴ So the LCM of the given numbers is 2 x 49 x 37 x 468 = 1696968
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 98,37,936 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(98,37,936) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(98,37,936) x common factors =1 x 2 = 2
LCM(98,37,936) = ( 98 × 37 × 936 ) / 2
LCM(98,37,936) = 3393936 / 2
LCM(98,37,936) = 1696968
Lets's calculate GCF of 572,945,971
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1696968/1
Therefore the LCM of Fractions 98/572,37/945,936/971 is 1696968
Factors of 572
List of positive integer factors of 572 that divides 572 without a remainder.
1,2,4,11,13,22,26,44,52,143,286,572
Factors of 945
List of positive integer factors of 945 that divides 945 without a remainder.
1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945
Factors of 971
List of positive integer factors of 971 that divides 971 without a remainder.
1,971
Greatest Common Factor
We found the factors 572,945,971 . The biggest common factor number is the GCF number.
So the greatest common factor 572,945,971 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 98/572, 37/945, 936/971?
Answer: LCM of Numerators as per given numbers 98/572, 37/945, 936/971 is
LCM of Numerators i.e. for 98,37,936 is 1696968
GCF of denominators i.e. for 572,945,971 is 1.
Thus, LCM of Fractions is 1696968.Finally, LCM of Fractions for 98/572, 37/945, 936/971 is 1696968.