Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 910/284, 483/836, 805/257 quickly i.e. 62790 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 910/284, 483/836, 805/257 is 62790.
LCM(910/284, 483/836, 805/257) = 62790
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 910/284,483/836,805/257
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 910,483,805
Least Common Multiple of Numerators i.e. LCM of 910,483,805 is 62790.
GCF of Denominators means GCF of 284,836,257 as per the given fractions.
GCF of 284,836,257 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 910,483,805
5 | 910, 483, 805 |
7 | 182, 483, 161 |
23 | 26, 69, 23 |
26, 3, 1 |
∴ So the LCM of the given numbers is 5 x 7 x 23 x 26 x 3 x 1 = 62790
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 910,483,805 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(910,483,805) = 7
common factors(in case of two or more numbers have common factors) = 805
GCF(910,483,805) x common factors =7 x 805 = 5635
LCM(910,483,805) = ( 910 × 483 × 805 ) / 5635
LCM(910,483,805) = 353821650 / 5635
LCM(910,483,805) = 62790
Lets's calculate GCF of 284,836,257
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 62790/1
Therefore the LCM of Fractions 910/284,483/836,805/257 is 62790
Factors of 284
List of positive integer factors of 284 that divides 284 without a remainder.
1,2,4,71,142,284
Factors of 836
List of positive integer factors of 836 that divides 836 without a remainder.
1,2,4,11,19,22,38,44,76,209,418,836
Factors of 257
List of positive integer factors of 257 that divides 257 without a remainder.
1,257
Greatest Common Factor
We found the factors 284,836,257 . The biggest common factor number is the GCF number.
So the greatest common factor 284,836,257 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 910/284, 483/836, 805/257?
Answer: LCM of Numerators as per given numbers 910/284, 483/836, 805/257 is
LCM of Numerators i.e. for 910,483,805 is 62790
GCF of denominators i.e. for 284,836,257 is 1.
Thus, LCM of Fractions is 62790.Finally, LCM of Fractions for 910/284, 483/836, 805/257 is 62790.