Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1293/662, 8572/4234 quickly i.e. 5541798 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1293/662, 8572/4234 is 5541798.
LCM(1293/662, 8572/4234) = 5541798
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1293/662,8572/4234
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 1293,8572
Least Common Multiple of Numerators i.e. LCM of 1293,8572 is 11083596.
GCF of Denominators means GCF of 662,4234 as per the given fractions.
GCF of 662,4234 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1293,8572
Given numbers has no common factors except 1. So, there LCM is their product i.e 11083596
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 1293,8572 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1293,8572) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1293,8572) x common factors =1 x 1 = 1
LCM(1293,8572) = ( 1293 × 8572 ) / 1
LCM(1293,8572) = 11083596 / 1
LCM(1293,8572) = 11083596
Lets's calculate GCF of 662,4234
2 | 662, 4234 |
331, 2117 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11083596/2
Therefore the LCM of Fractions 1293/662,8572/4234 is 5541798
Factors of 662
List of positive integer factors of 662 that divides 662 without a remainder.
1,2,331,662
Factors of 4234
List of positive integer factors of 4234 that divides 4234 without a remainder.
1,2,29,58,73,146,2117,4234
Greatest Common Factor
We found the factors 662,4234 . The biggest common factor number is the GCF number.
So the greatest common factor 662,4234 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 1293/662, 8572/4234?
Answer: LCM of Numerators as per given numbers 1293/662, 8572/4234 is
LCM of Numerators i.e. for 1293,8572 is 11083596
GCF of denominators i.e. for 662,4234 is 2.
Thus, LCM of Fractions is 5541798.Finally, LCM of Fractions for 1293/662, 8572/4234 is 5541798.