Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 12/671, 60/254, 620/867 quickly i.e. 1860 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 12/671, 60/254, 620/867 is 1860.
LCM(12/671, 60/254, 620/867) = 1860
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 12/671,60/254,620/867
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 12,60,620
Least Common Multiple of Numerators i.e. LCM of 12,60,620 is 1860.
GCF of Denominators means GCF of 671,254,867 as per the given fractions.
GCF of 671,254,867 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 12,60,620
2 | 12, 60, 620 |
2 | 6, 30, 310 |
3 | 3, 15, 155 |
5 | 1, 5, 155 |
1, 1, 31 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 1 x 1 x 31 = 1860
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 12,60,620 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,60,620) = 4
common factors(in case of two or more numbers have common factors) = 60
GCF(12,60,620) x common factors =4 x 60 = 240
LCM(12,60,620) = ( 12 × 60 × 620 ) / 240
LCM(12,60,620) = 446400 / 240
LCM(12,60,620) = 1860
Lets's calculate GCF of 671,254,867
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1860/1
Therefore the LCM of Fractions 12/671,60/254,620/867 is 1860
Factors of 671
List of positive integer factors of 671 that divides 671 without a remainder.
1,11,61,671
Factors of 254
List of positive integer factors of 254 that divides 254 without a remainder.
1,2,127,254
Factors of 867
List of positive integer factors of 867 that divides 867 without a remainder.
1,3,17,51,289,867
Greatest Common Factor
We found the factors 671,254,867 . The biggest common factor number is the GCF number.
So the greatest common factor 671,254,867 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 12/671, 60/254, 620/867?
Answer: LCM of Numerators as per given numbers 12/671, 60/254, 620/867 is
LCM of Numerators i.e. for 12,60,620 is 1860
GCF of denominators i.e. for 671,254,867 is 1.
Thus, LCM of Fractions is 1860.Finally, LCM of Fractions for 12/671, 60/254, 620/867 is 1860.