Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 218/987, 9180/917 quickly i.e. 1000620/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 218/987, 9180/917 is 1000620/7.
LCM(218/987, 9180/917) = 1000620/7
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 218/987,9180/917
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 218,9180
Least Common Multiple of Numerators i.e. LCM of 218,9180 is 1000620.
GCF of Denominators means GCF of 987,917 as per the given fractions.
GCF of 987,917 is 7 as it is the largest common factor for these numbers.
Lets's calculate LCM of 218,9180
2 | 218, 9180 |
109, 4590 |
∴ So the LCM of the given numbers is 2 x 109 x 4590 = 1000620
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 218,9180 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(218,9180) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(218,9180) x common factors =2 x 1 = 2
LCM(218,9180) = ( 218 × 9180 ) / 2
LCM(218,9180) = 2001240 / 2
LCM(218,9180) = 1000620
Lets's calculate GCF of 987,917
7 | 987, 917 |
141, 131 |
∴ So the GCF of the given numbers is 7 = 7
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1000620/7
Therefore the LCM of Fractions 218/987,9180/917 is 1000620/7
Factors of 987
List of positive integer factors of 987 that divides 987 without a remainder.
1,3,7,21,47,141,329,987
Factors of 917
List of positive integer factors of 917 that divides 917 without a remainder.
1,7,131,917
Greatest Common Factor
We found the factors 987,917 . The biggest common factor number is the GCF number.
So the greatest common factor 987,917 is 7.
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 218/987, 9180/917?
Answer: LCM of Numerators as per given numbers 218/987, 9180/917 is
LCM of Numerators i.e. for 218,9180 is 1000620
GCF of denominators i.e. for 987,917 is 7.
Thus, LCM of Fractions is 1000620/7.Finally, LCM of Fractions for 218/987, 9180/917 is 1000620/7.