Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3434/543, 6918/530 quickly i.e. 11878206 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3434/543, 6918/530 is 11878206.
LCM(3434/543, 6918/530) = 11878206
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3434/543,6918/530
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 3434,6918
Least Common Multiple of Numerators i.e. LCM of 3434,6918 is 11878206.
GCF of Denominators means GCF of 543,530 as per the given fractions.
GCF of 543,530 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3434,6918
2 | 3434, 6918 |
1717, 3459 |
∴ So the LCM of the given numbers is 2 x 1717 x 3459 = 11878206
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 3434,6918 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3434,6918) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(3434,6918) x common factors =2 x 1 = 2
LCM(3434,6918) = ( 3434 × 6918 ) / 2
LCM(3434,6918) = 23756412 / 2
LCM(3434,6918) = 11878206
Lets's calculate GCF of 543,530
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11878206/1
Therefore the LCM of Fractions 3434/543,6918/530 is 11878206
Factors of 543
List of positive integer factors of 543 that divides 543 without a remainder.
1,3,181,543
Factors of 530
List of positive integer factors of 530 that divides 530 without a remainder.
1,2,5,10,53,106,265,530
Greatest Common Factor
We found the factors 543,530 . The biggest common factor number is the GCF number.
So the greatest common factor 543,530 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 3434/543, 6918/530?
Answer: LCM of Numerators as per given numbers 3434/543, 6918/530 is
LCM of Numerators i.e. for 3434,6918 is 11878206
GCF of denominators i.e. for 543,530 is 1.
Thus, LCM of Fractions is 11878206.Finally, LCM of Fractions for 3434/543, 6918/530 is 11878206.