Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 67/313, 18/370, 642/441 quickly i.e. 129042 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 67/313, 18/370, 642/441 is 129042.
LCM(67/313, 18/370, 642/441) = 129042
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 67/313,18/370,642/441
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 67,18,642
Least Common Multiple of Numerators i.e. LCM of 67,18,642 is 129042.
GCF of Denominators means GCF of 313,370,441 as per the given fractions.
GCF of 313,370,441 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 67,18,642
2 | 67, 18, 642 |
3 | 67, 9, 321 |
67, 3, 107 |
∴ So the LCM of the given numbers is 2 x 3 x 67 x 3 x 107 = 129042
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 67,18,642 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,18,642) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(67,18,642) x common factors =1 x 6 = 6
LCM(67,18,642) = ( 67 × 18 × 642 ) / 6
LCM(67,18,642) = 774252 / 6
LCM(67,18,642) = 129042
Lets's calculate GCF of 313,370,441
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 129042/1
Therefore the LCM of Fractions 67/313,18/370,642/441 is 129042
Factors of 313
List of positive integer factors of 313 that divides 313 without a remainder.
1,313
Factors of 370
List of positive integer factors of 370 that divides 370 without a remainder.
1,2,5,10,37,74,185,370
Factors of 441
List of positive integer factors of 441 that divides 441 without a remainder.
1,3,7,9,21,49,63,147,441
Greatest Common Factor
We found the factors 313,370,441 . The biggest common factor number is the GCF number.
So the greatest common factor 313,370,441 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 67/313, 18/370, 642/441?
Answer: LCM of Numerators as per given numbers 67/313, 18/370, 642/441 is
LCM of Numerators i.e. for 67,18,642 is 129042
GCF of denominators i.e. for 313,370,441 is 1.
Thus, LCM of Fractions is 129042.Finally, LCM of Fractions for 67/313, 18/370, 642/441 is 129042.