Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 342/437, 6703/2185 quickly i.e. 2292426/437 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 342/437, 6703/2185 is 2292426/437.
LCM(342/437, 6703/2185) = 2292426/437
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 342/437,6703/2185
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 342,6703
Least Common Multiple of Numerators i.e. LCM of 342,6703 is 2292426.
GCF of Denominators means GCF of 437,2185 as per the given fractions.
GCF of 437,2185 is 437 as it is the largest common factor for these numbers.
Lets's calculate LCM of 342,6703
Given numbers has no common factors except 1. So, there LCM is their product i.e 2292426
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 342,6703 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(342,6703) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(342,6703) x common factors =1 x 1 = 1
LCM(342,6703) = ( 342 × 6703 ) / 1
LCM(342,6703) = 2292426 / 1
LCM(342,6703) = 2292426
Lets's calculate GCF of 437,2185
19 | 437, 2185 |
23 | 23, 115 |
1, 5 |
∴ So the GCF of the given numbers is 19 x 23 = 437
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2292426/437
Therefore the LCM of Fractions 342/437,6703/2185 is 2292426/437
Factors of 437
List of positive integer factors of 437 that divides 437 without a remainder.
1,19,23,437
Factors of 2185
List of positive integer factors of 2185 that divides 2185 without a remainder.
1,5,19,23,95,115,437,2185
Greatest Common Factor
We found the factors 437,2185 . The biggest common factor number is the GCF number.
So the greatest common factor 437,2185 is 437.
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 342/437, 6703/2185?
Answer: LCM of Numerators as per given numbers 342/437, 6703/2185 is
LCM of Numerators i.e. for 342,6703 is 2292426
GCF of denominators i.e. for 437,2185 is 437.
Thus, LCM of Fractions is 2292426/437.Finally, LCM of Fractions for 342/437, 6703/2185 is 2292426/437.