Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4868/12, 9010/107 quickly i.e. 21930340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4868/12, 9010/107 is 21930340.
LCM(4868/12, 9010/107) = 21930340
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4868/12,9010/107
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 4868,9010
Least Common Multiple of Numerators i.e. LCM of 4868,9010 is 21930340.
GCF of Denominators means GCF of 12,107 as per the given fractions.
GCF of 12,107 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4868,9010
2 | 4868, 9010 |
2434, 4505 |
∴ So the LCM of the given numbers is 2 x 2434 x 4505 = 21930340
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 4868,9010 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4868,9010) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(4868,9010) x common factors =2 x 1 = 2
LCM(4868,9010) = ( 4868 × 9010 ) / 2
LCM(4868,9010) = 43860680 / 2
LCM(4868,9010) = 21930340
Lets's calculate GCF of 12,107
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21930340/1
Therefore the LCM of Fractions 4868/12,9010/107 is 21930340
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 107
List of positive integer factors of 107 that divides 107 without a remainder.
1,107
Greatest Common Factor
We found the factors 12,107 . The biggest common factor number is the GCF number.
So the greatest common factor 12,107 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 4868/12, 9010/107?
Answer: LCM of Numerators as per given numbers 4868/12, 9010/107 is
LCM of Numerators i.e. for 4868,9010 is 21930340
GCF of denominators i.e. for 12,107 is 1.
Thus, LCM of Fractions is 21930340.Finally, LCM of Fractions for 4868/12, 9010/107 is 21930340.