Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 371/86, 205/77, 621/870 quickly i.e. 47230155 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 371/86, 205/77, 621/870 is 47230155.
LCM(371/86, 205/77, 621/870) = 47230155
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 371/86,205/77,621/870
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 371,205,621
Least Common Multiple of Numerators i.e. LCM of 371,205,621 is 47230155.
GCF of Denominators means GCF of 86,77,870 as per the given fractions.
GCF of 86,77,870 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 371,205,621
Given numbers has no common factors except 1. So, there LCM is their product i.e 47230155
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 371,205,621 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(371,205,621) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(371,205,621) x common factors =1 x 1 = 1
LCM(371,205,621) = ( 371 × 205 × 621 ) / 1
LCM(371,205,621) = 47230155 / 1
LCM(371,205,621) = 47230155
Lets's calculate GCF of 86,77,870
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47230155/1
Therefore the LCM of Fractions 371/86,205/77,621/870 is 47230155
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Factors of 77
List of positive integer factors of 77 that divides 77 without a remainder.
1,7,11,77
Factors of 870
List of positive integer factors of 870 that divides 870 without a remainder.
1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870
Greatest Common Factor
We found the factors 86,77,870 . The biggest common factor number is the GCF number.
So the greatest common factor 86,77,870 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 371/86, 205/77, 621/870?
Answer: LCM of Numerators as per given numbers 371/86, 205/77, 621/870 is
LCM of Numerators i.e. for 371,205,621 is 47230155
GCF of denominators i.e. for 86,77,870 is 1.
Thus, LCM of Fractions is 47230155.Finally, LCM of Fractions for 371/86, 205/77, 621/870 is 47230155.