Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 61/94, 642/94, 846/574 quickly i.e. 2760921 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 61/94, 642/94, 846/574 is 2760921.
LCM(61/94, 642/94, 846/574) = 2760921
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 61/94,642/94,846/574
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 61,642,846
Least Common Multiple of Numerators i.e. LCM of 61,642,846 is 5521842.
GCF of Denominators means GCF of 94,94,574 as per the given fractions.
GCF of 94,94,574 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 61,642,846
2 | 61, 642, 846 |
3 | 61, 321, 423 |
61, 107, 141 |
∴ So the LCM of the given numbers is 2 x 3 x 61 x 107 x 141 = 5521842
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 61,642,846 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(61,642,846) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(61,642,846) x common factors =1 x 6 = 6
LCM(61,642,846) = ( 61 × 642 × 846 ) / 6
LCM(61,642,846) = 33131052 / 6
LCM(61,642,846) = 5521842
Lets's calculate GCF of 94,94,574
2 | 94, 94, 574 |
47, 47, 287 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5521842/2
Therefore the LCM of Fractions 61/94,642/94,846/574 is 2760921
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Factors of 574
List of positive integer factors of 574 that divides 574 without a remainder.
1,2,7,14,41,82,287,574
Greatest Common Factor
We found the factors 94,94,574 . The biggest common factor number is the GCF number.
So the greatest common factor 94,94,574 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 61/94, 642/94, 846/574?
Answer: LCM of Numerators as per given numbers 61/94, 642/94, 846/574 is
LCM of Numerators i.e. for 61,642,846 is 5521842
GCF of denominators i.e. for 94,94,574 is 2.
Thus, LCM of Fractions is 2760921.Finally, LCM of Fractions for 61/94, 642/94, 846/574 is 2760921.