Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4869/778, 7002/7887 quickly i.e. 3788082 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4869/778, 7002/7887 is 3788082.
LCM(4869/778, 7002/7887) = 3788082
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4869/778,7002/7887
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 4869,7002
Least Common Multiple of Numerators i.e. LCM of 4869,7002 is 3788082.
GCF of Denominators means GCF of 778,7887 as per the given fractions.
GCF of 778,7887 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4869,7002
3 | 4869, 7002 |
3 | 1623, 2334 |
541, 778 |
∴ So the LCM of the given numbers is 3 x 3 x 541 x 778 = 3788082
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 4869,7002 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4869,7002) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(4869,7002) x common factors =9 x 1 = 9
LCM(4869,7002) = ( 4869 × 7002 ) / 9
LCM(4869,7002) = 34092738 / 9
LCM(4869,7002) = 3788082
Lets's calculate GCF of 778,7887
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3788082/1
Therefore the LCM of Fractions 4869/778,7002/7887 is 3788082
Factors of 778
List of positive integer factors of 778 that divides 778 without a remainder.
1,2,389,778
Factors of 7887
List of positive integer factors of 7887 that divides 7887 without a remainder.
1,3,11,33,239,717,2629,7887
Greatest Common Factor
We found the factors 778,7887 . The biggest common factor number is the GCF number.
So the greatest common factor 778,7887 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 4869/778, 7002/7887?
Answer: LCM of Numerators as per given numbers 4869/778, 7002/7887 is
LCM of Numerators i.e. for 4869,7002 is 3788082
GCF of denominators i.e. for 778,7887 is 1.
Thus, LCM of Fractions is 3788082.Finally, LCM of Fractions for 4869/778, 7002/7887 is 3788082.