Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 700/553, 8964/522 quickly i.e. 1568700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 700/553, 8964/522 is 1568700.
LCM(700/553, 8964/522) = 1568700
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 700/553,8964/522
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 700,8964
Least Common Multiple of Numerators i.e. LCM of 700,8964 is 1568700.
GCF of Denominators means GCF of 553,522 as per the given fractions.
GCF of 553,522 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 700,8964
2 | 700, 8964 |
2 | 350, 4482 |
175, 2241 |
∴ So the LCM of the given numbers is 2 x 2 x 175 x 2241 = 1568700
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 700,8964 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(700,8964) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(700,8964) x common factors =4 x 1 = 4
LCM(700,8964) = ( 700 × 8964 ) / 4
LCM(700,8964) = 6274800 / 4
LCM(700,8964) = 1568700
Lets's calculate GCF of 553,522
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1568700/1
Therefore the LCM of Fractions 700/553,8964/522 is 1568700
Factors of 553
List of positive integer factors of 553 that divides 553 without a remainder.
1,7,79,553
Factors of 522
List of positive integer factors of 522 that divides 522 without a remainder.
1,2,3,6,9,18,29,58,87,174,261,522
Greatest Common Factor
We found the factors 553,522 . The biggest common factor number is the GCF number.
So the greatest common factor 553,522 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 700/553, 8964/522?
Answer: LCM of Numerators as per given numbers 700/553, 8964/522 is
LCM of Numerators i.e. for 700,8964 is 1568700
GCF of denominators i.e. for 553,522 is 1.
Thus, LCM of Fractions is 1568700.Finally, LCM of Fractions for 700/553, 8964/522 is 1568700.