Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 185/17, 254/70, 802/481 quickly i.e. 18842990 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 185/17, 254/70, 802/481 is 18842990.
LCM(185/17, 254/70, 802/481) = 18842990
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 185/17,254/70,802/481
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 185,254,802
Least Common Multiple of Numerators i.e. LCM of 185,254,802 is 18842990.
GCF of Denominators means GCF of 17,70,481 as per the given fractions.
GCF of 17,70,481 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 185,254,802
2 | 185, 254, 802 |
185, 127, 401 |
∴ So the LCM of the given numbers is 2 x 185 x 127 x 401 = 18842990
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 185,254,802 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(185,254,802) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(185,254,802) x common factors =1 x 2 = 2
LCM(185,254,802) = ( 185 × 254 × 802 ) / 2
LCM(185,254,802) = 37685980 / 2
LCM(185,254,802) = 18842990
Lets's calculate GCF of 17,70,481
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18842990/1
Therefore the LCM of Fractions 185/17,254/70,802/481 is 18842990
Factors of 17
List of positive integer factors of 17 that divides 17 without a remainder.
1,17
Factors of 70
List of positive integer factors of 70 that divides 70 without a remainder.
1,2,5,7,10,14,35,70
Factors of 481
List of positive integer factors of 481 that divides 481 without a remainder.
1,13,37,481
Greatest Common Factor
We found the factors 17,70,481 . The biggest common factor number is the GCF number.
So the greatest common factor 17,70,481 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 185/17, 254/70, 802/481?
Answer: LCM of Numerators as per given numbers 185/17, 254/70, 802/481 is
LCM of Numerators i.e. for 185,254,802 is 18842990
GCF of denominators i.e. for 17,70,481 is 1.
Thus, LCM of Fractions is 18842990.Finally, LCM of Fractions for 185/17, 254/70, 802/481 is 18842990.