Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 46/84, 57/620, 330/358 quickly i.e. 72105 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 46/84, 57/620, 330/358 is 72105.
LCM(46/84, 57/620, 330/358) = 72105
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 46/84,57/620,330/358
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 46,57,330
Least Common Multiple of Numerators i.e. LCM of 46,57,330 is 144210.
GCF of Denominators means GCF of 84,620,358 as per the given fractions.
GCF of 84,620,358 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 46,57,330
2 | 46, 57, 330 |
3 | 23, 57, 165 |
23, 19, 55 |
∴ So the LCM of the given numbers is 2 x 3 x 23 x 19 x 55 = 144210
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 46,57,330 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(46,57,330) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(46,57,330) x common factors =1 x 6 = 6
LCM(46,57,330) = ( 46 × 57 × 330 ) / 6
LCM(46,57,330) = 865260 / 6
LCM(46,57,330) = 144210
Lets's calculate GCF of 84,620,358
2 | 84, 620, 358 |
42, 310, 179 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 144210/2
Therefore the LCM of Fractions 46/84,57/620,330/358 is 72105
Factors of 84
List of positive integer factors of 84 that divides 84 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84
Factors of 620
List of positive integer factors of 620 that divides 620 without a remainder.
1,2,4,5,10,20,31,62,124,155,310,620
Factors of 358
List of positive integer factors of 358 that divides 358 without a remainder.
1,2,179,358
Greatest Common Factor
We found the factors 84,620,358 . The biggest common factor number is the GCF number.
So the greatest common factor 84,620,358 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 46/84, 57/620, 330/358?
Answer: LCM of Numerators as per given numbers 46/84, 57/620, 330/358 is
LCM of Numerators i.e. for 46,57,330 is 144210
GCF of denominators i.e. for 84,620,358 is 2.
Thus, LCM of Fractions is 72105.Finally, LCM of Fractions for 46/84, 57/620, 330/358 is 72105.