Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 551/51, 643/9603 quickly i.e. 354293/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 551/51, 643/9603 is 354293/3.
LCM(551/51, 643/9603) = 354293/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 551/51,643/9603
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 551,643
Least Common Multiple of Numerators i.e. LCM of 551,643 is 354293.
GCF of Denominators means GCF of 51,9603 as per the given fractions.
GCF of 51,9603 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 551,643
Given numbers has no common factors except 1. So, there LCM is their product i.e 354293
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 551,643 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(551,643) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(551,643) x common factors =1 x 1 = 1
LCM(551,643) = ( 551 × 643 ) / 1
LCM(551,643) = 354293 / 1
LCM(551,643) = 354293
Lets's calculate GCF of 51,9603
3 | 51, 9603 |
17, 3201 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 354293/3
Therefore the LCM of Fractions 551/51,643/9603 is 354293/3
Factors of 51
List of positive integer factors of 51 that divides 51 without a remainder.
1,3,17,51
Factors of 9603
List of positive integer factors of 9603 that divides 9603 without a remainder.
1,3,9,11,33,97,99,291,873,1067,3201,9603
Greatest Common Factor
We found the factors 51,9603 . The biggest common factor number is the GCF number.
So the greatest common factor 51,9603 is 3.
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 551/51, 643/9603?
Answer: LCM of Numerators as per given numbers 551/51, 643/9603 is
LCM of Numerators i.e. for 551,643 is 354293
GCF of denominators i.e. for 51,9603 is 3.
Thus, LCM of Fractions is 354293/3.Finally, LCM of Fractions for 551/51, 643/9603 is 354293/3.