Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 860/30, 977/8042 quickly i.e. 420110 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 860/30, 977/8042 is 420110.
LCM(860/30, 977/8042) = 420110
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 860/30,977/8042
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 860,977
Least Common Multiple of Numerators i.e. LCM of 860,977 is 840220.
GCF of Denominators means GCF of 30,8042 as per the given fractions.
GCF of 30,8042 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 860,977
Given numbers has no common factors except 1. So, there LCM is their product i.e 840220
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 860,977 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(860,977) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(860,977) x common factors =1 x 1 = 1
LCM(860,977) = ( 860 × 977 ) / 1
LCM(860,977) = 840220 / 1
LCM(860,977) = 840220
Lets's calculate GCF of 30,8042
2 | 30, 8042 |
15, 4021 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 840220/2
Therefore the LCM of Fractions 860/30,977/8042 is 420110
Factors of 30
List of positive integer factors of 30 that divides 30 without a remainder.
1,2,3,5,6,10,15,30
Factors of 8042
List of positive integer factors of 8042 that divides 8042 without a remainder.
1,2,4021,8042
Greatest Common Factor
We found the factors 30,8042 . The biggest common factor number is the GCF number.
So the greatest common factor 30,8042 is 2.
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 860/30, 977/8042?
Answer: LCM of Numerators as per given numbers 860/30, 977/8042 is
LCM of Numerators i.e. for 860,977 is 840220
GCF of denominators i.e. for 30,8042 is 2.
Thus, LCM of Fractions is 420110.Finally, LCM of Fractions for 860/30, 977/8042 is 420110.