Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 485/55, 836/83, 246/830 quickly i.e. 49871580 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 485/55, 836/83, 246/830 is 49871580.
LCM(485/55, 836/83, 246/830) = 49871580
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 485/55,836/83,246/830
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 485,836,246
Least Common Multiple of Numerators i.e. LCM of 485,836,246 is 49871580.
GCF of Denominators means GCF of 55,83,830 as per the given fractions.
GCF of 55,83,830 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 485,836,246
2 | 485, 836, 246 |
485, 418, 123 |
∴ So the LCM of the given numbers is 2 x 485 x 418 x 123 = 49871580
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 485,836,246 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(485,836,246) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(485,836,246) x common factors =1 x 2 = 2
LCM(485,836,246) = ( 485 × 836 × 246 ) / 2
LCM(485,836,246) = 99743160 / 2
LCM(485,836,246) = 49871580
Lets's calculate GCF of 55,83,830
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49871580/1
Therefore the LCM of Fractions 485/55,836/83,246/830 is 49871580
Factors of 55
List of positive integer factors of 55 that divides 55 without a remainder.
1,5,11,55
Factors of 83
List of positive integer factors of 83 that divides 83 without a remainder.
1,83
Factors of 830
List of positive integer factors of 830 that divides 830 without a remainder.
1,2,5,10,83,166,415,830
Greatest Common Factor
We found the factors 55,83,830 . The biggest common factor number is the GCF number.
So the greatest common factor 55,83,830 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 485/55, 836/83, 246/830?
Answer: LCM of Numerators as per given numbers 485/55, 836/83, 246/830 is
LCM of Numerators i.e. for 485,836,246 is 49871580
GCF of denominators i.e. for 55,83,830 is 1.
Thus, LCM of Fractions is 49871580.Finally, LCM of Fractions for 485/55, 836/83, 246/830 is 49871580.