Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 36/38, 97/32, 19/546 quickly i.e. 33174 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 36/38, 97/32, 19/546 is 33174.
LCM(36/38, 97/32, 19/546) = 33174
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 36/38,97/32,19/546
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 36,97,19
Least Common Multiple of Numerators i.e. LCM of 36,97,19 is 66348.
GCF of Denominators means GCF of 38,32,546 as per the given fractions.
GCF of 38,32,546 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 36,97,19
Given numbers has no common factors except 1. So, there LCM is their product i.e 66348
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 36,97,19 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(36,97,19) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(36,97,19) x common factors =1 x 1 = 1
LCM(36,97,19) = ( 36 × 97 × 19 ) / 1
LCM(36,97,19) = 66348 / 1
LCM(36,97,19) = 66348
Lets's calculate GCF of 38,32,546
2 | 38, 32, 546 |
19, 16, 273 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 66348/2
Therefore the LCM of Fractions 36/38,97/32,19/546 is 33174
Factors of 38
List of positive integer factors of 38 that divides 38 without a remainder.
1,2,19,38
Factors of 32
List of positive integer factors of 32 that divides 32 without a remainder.
1,2,4,8,16,32
Factors of 546
List of positive integer factors of 546 that divides 546 without a remainder.
1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546
Greatest Common Factor
We found the factors 38,32,546 . The biggest common factor number is the GCF number.
So the greatest common factor 38,32,546 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 36/38, 97/32, 19/546?
Answer: LCM of Numerators as per given numbers 36/38, 97/32, 19/546 is
LCM of Numerators i.e. for 36,97,19 is 66348
GCF of denominators i.e. for 38,32,546 is 2.
Thus, LCM of Fractions is 33174.Finally, LCM of Fractions for 36/38, 97/32, 19/546 is 33174.