Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 98/920, 8787/9897 quickly i.e. 861126 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 98/920, 8787/9897 is 861126.
LCM(98/920, 8787/9897) = 861126
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 98/920,8787/9897
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 98,8787
Least Common Multiple of Numerators i.e. LCM of 98,8787 is 861126.
GCF of Denominators means GCF of 920,9897 as per the given fractions.
GCF of 920,9897 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 98,8787
Given numbers has no common factors except 1. So, there LCM is their product i.e 861126
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 98,8787 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(98,8787) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(98,8787) x common factors =1 x 1 = 1
LCM(98,8787) = ( 98 × 8787 ) / 1
LCM(98,8787) = 861126 / 1
LCM(98,8787) = 861126
Lets's calculate GCF of 920,9897
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 861126/1
Therefore the LCM of Fractions 98/920,8787/9897 is 861126
Factors of 920
List of positive integer factors of 920 that divides 920 without a remainder.
1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920
Factors of 9897
List of positive integer factors of 9897 that divides 9897 without a remainder.
1,3,3299,9897
Greatest Common Factor
We found the factors 920,9897 . The biggest common factor number is the GCF number.
So the greatest common factor 920,9897 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 98/920, 8787/9897?
Answer: LCM of Numerators as per given numbers 98/920, 8787/9897 is
LCM of Numerators i.e. for 98,8787 is 861126
GCF of denominators i.e. for 920,9897 is 1.
Thus, LCM of Fractions is 861126.Finally, LCM of Fractions for 98/920, 8787/9897 is 861126.