Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 185/117, 898/554, 970/437 quickly i.e. 16114610 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 185/117, 898/554, 970/437 is 16114610.
LCM(185/117, 898/554, 970/437) = 16114610
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 185/117,898/554,970/437
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 185,898,970
Least Common Multiple of Numerators i.e. LCM of 185,898,970 is 16114610.
GCF of Denominators means GCF of 117,554,437 as per the given fractions.
GCF of 117,554,437 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 185,898,970
2 | 185, 898, 970 |
5 | 185, 449, 485 |
37, 449, 97 |
∴ So the LCM of the given numbers is 2 x 5 x 37 x 449 x 97 = 16114610
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 185,898,970 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(185,898,970) = 1
common factors(in case of two or more numbers have common factors) = 10
GCF(185,898,970) x common factors =1 x 10 = 10
LCM(185,898,970) = ( 185 × 898 × 970 ) / 10
LCM(185,898,970) = 161146100 / 10
LCM(185,898,970) = 16114610
Lets's calculate GCF of 117,554,437
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16114610/1
Therefore the LCM of Fractions 185/117,898/554,970/437 is 16114610
Factors of 117
List of positive integer factors of 117 that divides 117 without a remainder.
1,3,9,13,39,117
Factors of 554
List of positive integer factors of 554 that divides 554 without a remainder.
1,2,277,554
Factors of 437
List of positive integer factors of 437 that divides 437 without a remainder.
1,19,23,437
Greatest Common Factor
We found the factors 117,554,437 . The biggest common factor number is the GCF number.
So the greatest common factor 117,554,437 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 185/117, 898/554, 970/437?
Answer: LCM of Numerators as per given numbers 185/117, 898/554, 970/437 is
LCM of Numerators i.e. for 185,898,970 is 16114610
GCF of denominators i.e. for 117,554,437 is 1.
Thus, LCM of Fractions is 16114610.Finally, LCM of Fractions for 185/117, 898/554, 970/437 is 16114610.