Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9845/67, 9676/544 quickly i.e. 95260220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9845/67, 9676/544 is 95260220.
LCM(9845/67, 9676/544) = 95260220
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9845/67,9676/544
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 9845,9676
Least Common Multiple of Numerators i.e. LCM of 9845,9676 is 95260220.
GCF of Denominators means GCF of 67,544 as per the given fractions.
GCF of 67,544 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9845,9676
Given numbers has no common factors except 1. So, there LCM is their product i.e 95260220
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 9845,9676 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9845,9676) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9845,9676) x common factors =1 x 1 = 1
LCM(9845,9676) = ( 9845 × 9676 ) / 1
LCM(9845,9676) = 95260220 / 1
LCM(9845,9676) = 95260220
Lets's calculate GCF of 67,544
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 95260220/1
Therefore the LCM of Fractions 9845/67,9676/544 is 95260220
Factors of 67
List of positive integer factors of 67 that divides 67 without a remainder.
1,67
Factors of 544
List of positive integer factors of 544 that divides 544 without a remainder.
1,2,4,8,16,17,32,34,68,136,272,544
Greatest Common Factor
We found the factors 67,544 . The biggest common factor number is the GCF number.
So the greatest common factor 67,544 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 9845/67, 9676/544?
Answer: LCM of Numerators as per given numbers 9845/67, 9676/544 is
LCM of Numerators i.e. for 9845,9676 is 95260220
GCF of denominators i.e. for 67,544 is 1.
Thus, LCM of Fractions is 95260220.Finally, LCM of Fractions for 9845/67, 9676/544 is 95260220.