Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 94/835, 78/372, 886/495 quickly i.e. 1624038 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 94/835, 78/372, 886/495 is 1624038.
LCM(94/835, 78/372, 886/495) = 1624038
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 94/835,78/372,886/495
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 94,78,886
Least Common Multiple of Numerators i.e. LCM of 94,78,886 is 1624038.
GCF of Denominators means GCF of 835,372,495 as per the given fractions.
GCF of 835,372,495 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 94,78,886
2 | 94, 78, 886 |
47, 39, 443 |
∴ So the LCM of the given numbers is 2 x 47 x 39 x 443 = 1624038
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 94,78,886 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(94,78,886) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(94,78,886) x common factors =2 x 2 = 4
LCM(94,78,886) = ( 94 × 78 × 886 ) / 4
LCM(94,78,886) = 6496152 / 4
LCM(94,78,886) = 1624038
Lets's calculate GCF of 835,372,495
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1624038/1
Therefore the LCM of Fractions 94/835,78/372,886/495 is 1624038
Factors of 835
List of positive integer factors of 835 that divides 835 without a remainder.
1,5,167,835
Factors of 372
List of positive integer factors of 372 that divides 372 without a remainder.
1,2,3,4,6,12,31,62,93,124,186,372
Factors of 495
List of positive integer factors of 495 that divides 495 without a remainder.
1,3,5,9,11,15,33,45,55,99,165,495
Greatest Common Factor
We found the factors 835,372,495 . The biggest common factor number is the GCF number.
So the greatest common factor 835,372,495 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 94/835, 78/372, 886/495?
Answer: LCM of Numerators as per given numbers 94/835, 78/372, 886/495 is
LCM of Numerators i.e. for 94,78,886 is 1624038
GCF of denominators i.e. for 835,372,495 is 1.
Thus, LCM of Fractions is 1624038.Finally, LCM of Fractions for 94/835, 78/372, 886/495 is 1624038.