Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 352/16, 6672/934 quickly i.e. 73392 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 352/16, 6672/934 is 73392.
LCM(352/16, 6672/934) = 73392
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 352/16,6672/934
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 352,6672
Least Common Multiple of Numerators i.e. LCM of 352,6672 is 146784.
GCF of Denominators means GCF of 16,934 as per the given fractions.
GCF of 16,934 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 352,6672
2 | 352, 6672 |
2 | 176, 3336 |
2 | 88, 1668 |
2 | 44, 834 |
22, 417 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 22 x 417 = 146784
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 352,6672 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(352,6672) = 16
common factors(in case of two or more numbers have common factors) = 1
GCF(352,6672) x common factors =16 x 1 = 16
LCM(352,6672) = ( 352 × 6672 ) / 16
LCM(352,6672) = 2348544 / 16
LCM(352,6672) = 146784
Lets's calculate GCF of 16,934
2 | 16, 934 |
8, 467 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 146784/2
Therefore the LCM of Fractions 352/16,6672/934 is 73392
Factors of 16
List of positive integer factors of 16 that divides 16 without a remainder.
1,2,4,8,16
Factors of 934
List of positive integer factors of 934 that divides 934 without a remainder.
1,2,467,934
Greatest Common Factor
We found the factors 16,934 . The biggest common factor number is the GCF number.
So the greatest common factor 16,934 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 352/16, 6672/934?
Answer: LCM of Numerators as per given numbers 352/16, 6672/934 is
LCM of Numerators i.e. for 352,6672 is 146784
GCF of denominators i.e. for 16,934 is 2.
Thus, LCM of Fractions is 73392.Finally, LCM of Fractions for 352/16, 6672/934 is 73392.