Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 679/33, 802/9625 quickly i.e. 544558/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 679/33, 802/9625 is 544558/11.
LCM(679/33, 802/9625) = 544558/11
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 679/33,802/9625
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 679,802
Least Common Multiple of Numerators i.e. LCM of 679,802 is 544558.
GCF of Denominators means GCF of 33,9625 as per the given fractions.
GCF of 33,9625 is 11 as it is the largest common factor for these numbers.
Lets's calculate LCM of 679,802
Given numbers has no common factors except 1. So, there LCM is their product i.e 544558
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 679,802 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(679,802) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(679,802) x common factors =1 x 1 = 1
LCM(679,802) = ( 679 × 802 ) / 1
LCM(679,802) = 544558 / 1
LCM(679,802) = 544558
Lets's calculate GCF of 33,9625
11 | 33, 9625 |
3, 875 |
∴ So the GCF of the given numbers is 11 = 11
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 544558/11
Therefore the LCM of Fractions 679/33,802/9625 is 544558/11
Factors of 33
List of positive integer factors of 33 that divides 33 without a remainder.
1,3,11,33
Factors of 9625
List of positive integer factors of 9625 that divides 9625 without a remainder.
1,5,7,11,25,35,55,77,125,175,275,385,875,1375,1925,9625
Greatest Common Factor
We found the factors 33,9625 . The biggest common factor number is the GCF number.
So the greatest common factor 33,9625 is 11.
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 679/33, 802/9625?
Answer: LCM of Numerators as per given numbers 679/33, 802/9625 is
LCM of Numerators i.e. for 679,802 is 544558
GCF of denominators i.e. for 33,9625 is 11.
Thus, LCM of Fractions is 544558/11.Finally, LCM of Fractions for 679/33, 802/9625 is 544558/11.