Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 699/907, 6521/2279 quickly i.e. 4558179 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 699/907, 6521/2279 is 4558179.
LCM(699/907, 6521/2279) = 4558179
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 699/907,6521/2279
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 699,6521
Least Common Multiple of Numerators i.e. LCM of 699,6521 is 4558179.
GCF of Denominators means GCF of 907,2279 as per the given fractions.
GCF of 907,2279 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 699,6521
Given numbers has no common factors except 1. So, there LCM is their product i.e 4558179
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 699,6521 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(699,6521) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(699,6521) x common factors =1 x 1 = 1
LCM(699,6521) = ( 699 × 6521 ) / 1
LCM(699,6521) = 4558179 / 1
LCM(699,6521) = 4558179
Lets's calculate GCF of 907,2279
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4558179/1
Therefore the LCM of Fractions 699/907,6521/2279 is 4558179
Factors of 907
List of positive integer factors of 907 that divides 907 without a remainder.
1,907
Factors of 2279
List of positive integer factors of 2279 that divides 2279 without a remainder.
1,43,53,2279
Greatest Common Factor
We found the factors 907,2279 . The biggest common factor number is the GCF number.
So the greatest common factor 907,2279 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 699/907, 6521/2279?
Answer: LCM of Numerators as per given numbers 699/907, 6521/2279 is
LCM of Numerators i.e. for 699,6521 is 4558179
GCF of denominators i.e. for 907,2279 is 1.
Thus, LCM of Fractions is 4558179.Finally, LCM of Fractions for 699/907, 6521/2279 is 4558179.