Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5620/890, 3163/528 quickly i.e. 8888030 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5620/890, 3163/528 is 8888030.
LCM(5620/890, 3163/528) = 8888030
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5620/890,3163/528
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 5620,3163
Least Common Multiple of Numerators i.e. LCM of 5620,3163 is 17776060.
GCF of Denominators means GCF of 890,528 as per the given fractions.
GCF of 890,528 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5620,3163
Given numbers has no common factors except 1. So, there LCM is their product i.e 17776060
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 5620,3163 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5620,3163) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5620,3163) x common factors =1 x 1 = 1
LCM(5620,3163) = ( 5620 × 3163 ) / 1
LCM(5620,3163) = 17776060 / 1
LCM(5620,3163) = 17776060
Lets's calculate GCF of 890,528
2 | 890, 528 |
445, 264 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17776060/2
Therefore the LCM of Fractions 5620/890,3163/528 is 8888030
Factors of 890
List of positive integer factors of 890 that divides 890 without a remainder.
1,2,5,10,89,178,445,890
Factors of 528
List of positive integer factors of 528 that divides 528 without a remainder.
1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,132,176,264,528
Greatest Common Factor
We found the factors 890,528 . The biggest common factor number is the GCF number.
So the greatest common factor 890,528 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 5620/890, 3163/528?
Answer: LCM of Numerators as per given numbers 5620/890, 3163/528 is
LCM of Numerators i.e. for 5620,3163 is 17776060
GCF of denominators i.e. for 890,528 is 2.
Thus, LCM of Fractions is 8888030.Finally, LCM of Fractions for 5620/890, 3163/528 is 8888030.