Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 847/888, 2766/5090 quickly i.e. 1171401 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 847/888, 2766/5090 is 1171401.
LCM(847/888, 2766/5090) = 1171401
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 847/888,2766/5090
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 847,2766
Least Common Multiple of Numerators i.e. LCM of 847,2766 is 2342802.
GCF of Denominators means GCF of 888,5090 as per the given fractions.
GCF of 888,5090 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 847,2766
Given numbers has no common factors except 1. So, there LCM is their product i.e 2342802
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 847,2766 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(847,2766) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(847,2766) x common factors =1 x 1 = 1
LCM(847,2766) = ( 847 × 2766 ) / 1
LCM(847,2766) = 2342802 / 1
LCM(847,2766) = 2342802
Lets's calculate GCF of 888,5090
2 | 888, 5090 |
444, 2545 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2342802/2
Therefore the LCM of Fractions 847/888,2766/5090 is 1171401
Factors of 888
List of positive integer factors of 888 that divides 888 without a remainder.
1,2,3,4,6,8,12,24,37,74,111,148,222,296,444,888
Factors of 5090
List of positive integer factors of 5090 that divides 5090 without a remainder.
1,2,5,10,509,1018,2545,5090
Greatest Common Factor
We found the factors 888,5090 . The biggest common factor number is the GCF number.
So the greatest common factor 888,5090 is 2.
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 847/888, 2766/5090?
Answer: LCM of Numerators as per given numbers 847/888, 2766/5090 is
LCM of Numerators i.e. for 847,2766 is 2342802
GCF of denominators i.e. for 888,5090 is 2.
Thus, LCM of Fractions is 1171401.Finally, LCM of Fractions for 847/888, 2766/5090 is 1171401.