Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 366/332, 6574/422 quickly i.e. 601521 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 366/332, 6574/422 is 601521.
LCM(366/332, 6574/422) = 601521
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 366/332,6574/422
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 366,6574
Least Common Multiple of Numerators i.e. LCM of 366,6574 is 1203042.
GCF of Denominators means GCF of 332,422 as per the given fractions.
GCF of 332,422 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 366,6574
2 | 366, 6574 |
183, 3287 |
∴ So the LCM of the given numbers is 2 x 183 x 3287 = 1203042
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 366,6574 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(366,6574) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(366,6574) x common factors =2 x 1 = 2
LCM(366,6574) = ( 366 × 6574 ) / 2
LCM(366,6574) = 2406084 / 2
LCM(366,6574) = 1203042
Lets's calculate GCF of 332,422
2 | 332, 422 |
166, 211 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1203042/2
Therefore the LCM of Fractions 366/332,6574/422 is 601521
Factors of 332
List of positive integer factors of 332 that divides 332 without a remainder.
1,2,4,83,166,332
Factors of 422
List of positive integer factors of 422 that divides 422 without a remainder.
1,2,211,422
Greatest Common Factor
We found the factors 332,422 . The biggest common factor number is the GCF number.
So the greatest common factor 332,422 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 366/332, 6574/422?
Answer: LCM of Numerators as per given numbers 366/332, 6574/422 is
LCM of Numerators i.e. for 366,6574 is 1203042
GCF of denominators i.e. for 332,422 is 2.
Thus, LCM of Fractions is 601521.Finally, LCM of Fractions for 366/332, 6574/422 is 601521.