Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 55/860, 209/289, 836/468 quickly i.e. 4180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 55/860, 209/289, 836/468 is 4180.
LCM(55/860, 209/289, 836/468) = 4180
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 55/860,209/289,836/468
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 55,209,836
Least Common Multiple of Numerators i.e. LCM of 55,209,836 is 4180.
GCF of Denominators means GCF of 860,289,468 as per the given fractions.
GCF of 860,289,468 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 55,209,836
11 | 55, 209, 836 |
19 | 5, 19, 76 |
5, 1, 4 |
∴ So the LCM of the given numbers is 11 x 19 x 5 x 1 x 4 = 4180
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 55,209,836 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,209,836) = 11
common factors(in case of two or more numbers have common factors) = 209
GCF(55,209,836) x common factors =11 x 209 = 2299
LCM(55,209,836) = ( 55 × 209 × 836 ) / 2299
LCM(55,209,836) = 9609820 / 2299
LCM(55,209,836) = 4180
Lets's calculate GCF of 860,289,468
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4180/1
Therefore the LCM of Fractions 55/860,209/289,836/468 is 4180
Factors of 860
List of positive integer factors of 860 that divides 860 without a remainder.
1,2,4,5,10,20,43,86,172,215,430,860
Factors of 289
List of positive integer factors of 289 that divides 289 without a remainder.
1,17,289
Factors of 468
List of positive integer factors of 468 that divides 468 without a remainder.
1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468
Greatest Common Factor
We found the factors 860,289,468 . The biggest common factor number is the GCF number.
So the greatest common factor 860,289,468 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 55/860, 209/289, 836/468?
Answer: LCM of Numerators as per given numbers 55/860, 209/289, 836/468 is
LCM of Numerators i.e. for 55,209,836 is 4180
GCF of denominators i.e. for 860,289,468 is 1.
Thus, LCM of Fractions is 4180.Finally, LCM of Fractions for 55/860, 209/289, 836/468 is 4180.