Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 68/546, 37/321, 314/929 quickly i.e. 395012 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 68/546, 37/321, 314/929 is 395012.
LCM(68/546, 37/321, 314/929) = 395012
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 68/546,37/321,314/929
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 68,37,314
Least Common Multiple of Numerators i.e. LCM of 68,37,314 is 395012.
GCF of Denominators means GCF of 546,321,929 as per the given fractions.
GCF of 546,321,929 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 68,37,314
2 | 68, 37, 314 |
34, 37, 157 |
∴ So the LCM of the given numbers is 2 x 34 x 37 x 157 = 395012
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 68,37,314 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(68,37,314) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(68,37,314) x common factors =1 x 2 = 2
LCM(68,37,314) = ( 68 × 37 × 314 ) / 2
LCM(68,37,314) = 790024 / 2
LCM(68,37,314) = 395012
Lets's calculate GCF of 546,321,929
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 395012/1
Therefore the LCM of Fractions 68/546,37/321,314/929 is 395012
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
Factors of 321
List of positive integer factors of 321 that divides 321 without a remainder.
1,3,107,321
Factors of 929
List of positive integer factors of 929 that divides 929 without a remainder.
1,929
Greatest Common Factor
We found the factors 546,321,929 . The biggest common factor number is the GCF number.
So the greatest common factor 546,321,929 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 68/546, 37/321, 314/929?
Answer: LCM of Numerators as per given numbers 68/546, 37/321, 314/929 is
LCM of Numerators i.e. for 68,37,314 is 395012
GCF of denominators i.e. for 546,321,929 is 1.
Thus, LCM of Fractions is 395012.Finally, LCM of Fractions for 68/546, 37/321, 314/929 is 395012.