Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 55/402, 6367/7386 quickly i.e. 350185/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 55/402, 6367/7386 is 350185/6.
LCM(55/402, 6367/7386) = 350185/6
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 55/402,6367/7386
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 55,6367
Least Common Multiple of Numerators i.e. LCM of 55,6367 is 350185.
GCF of Denominators means GCF of 402,7386 as per the given fractions.
GCF of 402,7386 is 6 as it is the largest common factor for these numbers.
Lets's calculate LCM of 55,6367
Given numbers has no common factors except 1. So, there LCM is their product i.e 350185
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 55,6367 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,6367) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(55,6367) x common factors =1 x 1 = 1
LCM(55,6367) = ( 55 × 6367 ) / 1
LCM(55,6367) = 350185 / 1
LCM(55,6367) = 350185
Lets's calculate GCF of 402,7386
2 | 402, 7386 |
3 | 201, 3693 |
67, 1231 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 350185/6
Therefore the LCM of Fractions 55/402,6367/7386 is 350185/6
Factors of 402
List of positive integer factors of 402 that divides 402 without a remainder.
1,2,3,6,67,134,201,402
Factors of 7386
List of positive integer factors of 7386 that divides 7386 without a remainder.
1,2,3,6,1231,2462,3693,7386
Greatest Common Factor
We found the factors 402,7386 . The biggest common factor number is the GCF number.
So the greatest common factor 402,7386 is 6.
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 55/402, 6367/7386?
Answer: LCM of Numerators as per given numbers 55/402, 6367/7386 is
LCM of Numerators i.e. for 55,6367 is 350185
GCF of denominators i.e. for 402,7386 is 6.
Thus, LCM of Fractions is 350185/6.Finally, LCM of Fractions for 55/402, 6367/7386 is 350185/6.