Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 620/32, 890/46, 458/92 quickly i.e. 6318110 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 620/32, 890/46, 458/92 is 6318110.
LCM(620/32, 890/46, 458/92) = 6318110
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 620/32,890/46,458/92
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 620,890,458
Least Common Multiple of Numerators i.e. LCM of 620,890,458 is 12636220.
GCF of Denominators means GCF of 32,46,92 as per the given fractions.
GCF of 32,46,92 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 620,890,458
2 | 620, 890, 458 |
5 | 310, 445, 229 |
62, 89, 229 |
∴ So the LCM of the given numbers is 2 x 5 x 62 x 89 x 229 = 12636220
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 620,890,458 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(620,890,458) = 2
common factors(in case of two or more numbers have common factors) = 10
GCF(620,890,458) x common factors =2 x 10 = 20
LCM(620,890,458) = ( 620 × 890 × 458 ) / 20
LCM(620,890,458) = 252724400 / 20
LCM(620,890,458) = 12636220
Lets's calculate GCF of 32,46,92
2 | 32, 46, 92 |
16, 23, 46 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12636220/2
Therefore the LCM of Fractions 620/32,890/46,458/92 is 6318110
Factors of 32
List of positive integer factors of 32 that divides 32 without a remainder.
1,2,4,8,16,32
Factors of 46
List of positive integer factors of 46 that divides 46 without a remainder.
1,2,23,46
Factors of 92
List of positive integer factors of 92 that divides 92 without a remainder.
1,2,4,23,46,92
Greatest Common Factor
We found the factors 32,46,92 . The biggest common factor number is the GCF number.
So the greatest common factor 32,46,92 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 620/32, 890/46, 458/92?
Answer: LCM of Numerators as per given numbers 620/32, 890/46, 458/92 is
LCM of Numerators i.e. for 620,890,458 is 12636220
GCF of denominators i.e. for 32,46,92 is 2.
Thus, LCM of Fractions is 6318110.Finally, LCM of Fractions for 620/32, 890/46, 458/92 is 6318110.