Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9453/688, 2061/626 quickly i.e. 6494211/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9453/688, 2061/626 is 6494211/2.
LCM(9453/688, 2061/626) = 6494211/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9453/688,2061/626
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 9453,2061
Least Common Multiple of Numerators i.e. LCM of 9453,2061 is 6494211.
GCF of Denominators means GCF of 688,626 as per the given fractions.
GCF of 688,626 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9453,2061
3 | 9453, 2061 |
3151, 687 |
∴ So the LCM of the given numbers is 3 x 3151 x 687 = 6494211
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 9453,2061 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9453,2061) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(9453,2061) x common factors =3 x 1 = 3
LCM(9453,2061) = ( 9453 × 2061 ) / 3
LCM(9453,2061) = 19482633 / 3
LCM(9453,2061) = 6494211
Lets's calculate GCF of 688,626
2 | 688, 626 |
344, 313 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6494211/2
Therefore the LCM of Fractions 9453/688,2061/626 is 6494211/2
Factors of 688
List of positive integer factors of 688 that divides 688 without a remainder.
1,2,4,8,16,43,86,172,344,688
Factors of 626
List of positive integer factors of 626 that divides 626 without a remainder.
1,2,313,626
Greatest Common Factor
We found the factors 688,626 . The biggest common factor number is the GCF number.
So the greatest common factor 688,626 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 9453/688, 2061/626?
Answer: LCM of Numerators as per given numbers 9453/688, 2061/626 is
LCM of Numerators i.e. for 9453,2061 is 6494211
GCF of denominators i.e. for 688,626 is 2.
Thus, LCM of Fractions is 6494211/2.Finally, LCM of Fractions for 9453/688, 2061/626 is 6494211/2.