Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 94/61, 861/39, 957/698 quickly i.e. 25817946 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 94/61, 861/39, 957/698 is 25817946.
LCM(94/61, 861/39, 957/698) = 25817946
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 94/61,861/39,957/698
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 94,861,957
Least Common Multiple of Numerators i.e. LCM of 94,861,957 is 25817946.
GCF of Denominators means GCF of 61,39,698 as per the given fractions.
GCF of 61,39,698 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 94,861,957
3 | 94, 861, 957 |
94, 287, 319 |
∴ So the LCM of the given numbers is 3 x 94 x 287 x 319 = 25817946
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 94,861,957 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(94,861,957) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(94,861,957) x common factors =1 x 3 = 3
LCM(94,861,957) = ( 94 × 861 × 957 ) / 3
LCM(94,861,957) = 77453838 / 3
LCM(94,861,957) = 25817946
Lets's calculate GCF of 61,39,698
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25817946/1
Therefore the LCM of Fractions 94/61,861/39,957/698 is 25817946
Factors of 61
List of positive integer factors of 61 that divides 61 without a remainder.
1,61
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Factors of 698
List of positive integer factors of 698 that divides 698 without a remainder.
1,2,349,698
Greatest Common Factor
We found the factors 61,39,698 . The biggest common factor number is the GCF number.
So the greatest common factor 61,39,698 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 94/61, 861/39, 957/698?
Answer: LCM of Numerators as per given numbers 94/61, 861/39, 957/698 is
LCM of Numerators i.e. for 94,861,957 is 25817946
GCF of denominators i.e. for 61,39,698 is 1.
Thus, LCM of Fractions is 25817946.Finally, LCM of Fractions for 94/61, 861/39, 957/698 is 25817946.