Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 52/30, 182/41, 346/304 quickly i.e. 62972 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 52/30, 182/41, 346/304 is 62972.
LCM(52/30, 182/41, 346/304) = 62972
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 52/30,182/41,346/304
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 52,182,346
Least Common Multiple of Numerators i.e. LCM of 52,182,346 is 62972.
GCF of Denominators means GCF of 30,41,304 as per the given fractions.
GCF of 30,41,304 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 52,182,346
2 | 52, 182, 346 |
13 | 26, 91, 173 |
2, 7, 173 |
∴ So the LCM of the given numbers is 2 x 13 x 2 x 7 x 173 = 62972
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 52,182,346 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,182,346) = 2
common factors(in case of two or more numbers have common factors) = 26
GCF(52,182,346) x common factors =2 x 26 = 52
LCM(52,182,346) = ( 52 × 182 × 346 ) / 52
LCM(52,182,346) = 3274544 / 52
LCM(52,182,346) = 62972
Lets's calculate GCF of 30,41,304
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 62972/1
Therefore the LCM of Fractions 52/30,182/41,346/304 is 62972
Factors of 30
List of positive integer factors of 30 that divides 30 without a remainder.
1,2,3,5,6,10,15,30
Factors of 41
List of positive integer factors of 41 that divides 41 without a remainder.
1,41
Factors of 304
List of positive integer factors of 304 that divides 304 without a remainder.
1,2,4,8,16,19,38,76,152,304
Greatest Common Factor
We found the factors 30,41,304 . The biggest common factor number is the GCF number.
So the greatest common factor 30,41,304 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 52/30, 182/41, 346/304?
Answer: LCM of Numerators as per given numbers 52/30, 182/41, 346/304 is
LCM of Numerators i.e. for 52,182,346 is 62972
GCF of denominators i.e. for 30,41,304 is 1.
Thus, LCM of Fractions is 62972.Finally, LCM of Fractions for 52/30, 182/41, 346/304 is 62972.