Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 977/899, 207/860, 245/620 quickly i.e. 49548555 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 977/899, 207/860, 245/620 is 49548555.
LCM(977/899, 207/860, 245/620) = 49548555
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 977/899,207/860,245/620
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 977,207,245
Least Common Multiple of Numerators i.e. LCM of 977,207,245 is 49548555.
GCF of Denominators means GCF of 899,860,620 as per the given fractions.
GCF of 899,860,620 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 977,207,245
Given numbers has no common factors except 1. So, there LCM is their product i.e 49548555
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 977,207,245 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(977,207,245) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(977,207,245) x common factors =1 x 1 = 1
LCM(977,207,245) = ( 977 × 207 × 245 ) / 1
LCM(977,207,245) = 49548555 / 1
LCM(977,207,245) = 49548555
Lets's calculate GCF of 899,860,620
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49548555/1
Therefore the LCM of Fractions 977/899,207/860,245/620 is 49548555
Factors of 899
List of positive integer factors of 899 that divides 899 without a remainder.
1,29,31,899
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 620
List of positive integer factors of 620 that divides 620 without a remainder.
1,2,4,5,10,20,31,62,124,155,310,620
Greatest Common Factor
We found the factors 899,860,620 . The biggest common factor number is the GCF number.
So the greatest common factor 899,860,620 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 977/899, 207/860, 245/620?
Answer: LCM of Numerators as per given numbers 977/899, 207/860, 245/620 is
LCM of Numerators i.e. for 977,207,245 is 49548555
GCF of denominators i.e. for 899,860,620 is 1.
Thus, LCM of Fractions is 49548555.Finally, LCM of Fractions for 977/899, 207/860, 245/620 is 49548555.