Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 46/42, 118/20, 909/828 quickly i.e. 1233513 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 46/42, 118/20, 909/828 is 1233513.
LCM(46/42, 118/20, 909/828) = 1233513
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 46/42,118/20,909/828
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 46,118,909
Least Common Multiple of Numerators i.e. LCM of 46,118,909 is 2467026.
GCF of Denominators means GCF of 42,20,828 as per the given fractions.
GCF of 42,20,828 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 46,118,909
2 | 46, 118, 909 |
23, 59, 909 |
∴ So the LCM of the given numbers is 2 x 23 x 59 x 909 = 2467026
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 46,118,909 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(46,118,909) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(46,118,909) x common factors =1 x 2 = 2
LCM(46,118,909) = ( 46 × 118 × 909 ) / 2
LCM(46,118,909) = 4934052 / 2
LCM(46,118,909) = 2467026
Lets's calculate GCF of 42,20,828
2 | 42, 20, 828 |
21, 10, 414 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2467026/2
Therefore the LCM of Fractions 46/42,118/20,909/828 is 1233513
Factors of 42
List of positive integer factors of 42 that divides 42 without a remainder.
1,2,3,6,7,14,21,42
Factors of 20
List of positive integer factors of 20 that divides 20 without a remainder.
1,2,4,5,10,20
Factors of 828
List of positive integer factors of 828 that divides 828 without a remainder.
1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828
Greatest Common Factor
We found the factors 42,20,828 . The biggest common factor number is the GCF number.
So the greatest common factor 42,20,828 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 46/42, 118/20, 909/828?
Answer: LCM of Numerators as per given numbers 46/42, 118/20, 909/828 is
LCM of Numerators i.e. for 46,118,909 is 2467026
GCF of denominators i.e. for 42,20,828 is 2.
Thus, LCM of Fractions is 1233513.Finally, LCM of Fractions for 46/42, 118/20, 909/828 is 1233513.