Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5004/21, 7063/698 quickly i.e. 35343252 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5004/21, 7063/698 is 35343252.
LCM(5004/21, 7063/698) = 35343252
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5004/21,7063/698
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 5004,7063
Least Common Multiple of Numerators i.e. LCM of 5004,7063 is 35343252.
GCF of Denominators means GCF of 21,698 as per the given fractions.
GCF of 21,698 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5004,7063
Given numbers has no common factors except 1. So, there LCM is their product i.e 35343252
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 5004,7063 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5004,7063) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5004,7063) x common factors =1 x 1 = 1
LCM(5004,7063) = ( 5004 × 7063 ) / 1
LCM(5004,7063) = 35343252 / 1
LCM(5004,7063) = 35343252
Lets's calculate GCF of 21,698
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35343252/1
Therefore the LCM of Fractions 5004/21,7063/698 is 35343252
Factors of 21
List of positive integer factors of 21 that divides 21 without a remainder.
1,3,7,21
Factors of 698
List of positive integer factors of 698 that divides 698 without a remainder.
1,2,349,698
Greatest Common Factor
We found the factors 21,698 . The biggest common factor number is the GCF number.
So the greatest common factor 21,698 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 5004/21, 7063/698?
Answer: LCM of Numerators as per given numbers 5004/21, 7063/698 is
LCM of Numerators i.e. for 5004,7063 is 35343252
GCF of denominators i.e. for 21,698 is 1.
Thus, LCM of Fractions is 35343252.Finally, LCM of Fractions for 5004/21, 7063/698 is 35343252.