Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 46/482, 695/453, 890/649 quickly i.e. 2845330 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 46/482, 695/453, 890/649 is 2845330.
LCM(46/482, 695/453, 890/649) = 2845330
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 46/482,695/453,890/649
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 46,695,890
Least Common Multiple of Numerators i.e. LCM of 46,695,890 is 2845330.
GCF of Denominators means GCF of 482,453,649 as per the given fractions.
GCF of 482,453,649 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 46,695,890
2 | 46, 695, 890 |
5 | 23, 695, 445 |
23, 139, 89 |
∴ So the LCM of the given numbers is 2 x 5 x 23 x 139 x 89 = 2845330
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 46,695,890 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(46,695,890) = 1
common factors(in case of two or more numbers have common factors) = 10
GCF(46,695,890) x common factors =1 x 10 = 10
LCM(46,695,890) = ( 46 × 695 × 890 ) / 10
LCM(46,695,890) = 28453300 / 10
LCM(46,695,890) = 2845330
Lets's calculate GCF of 482,453,649
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2845330/1
Therefore the LCM of Fractions 46/482,695/453,890/649 is 2845330
Factors of 482
List of positive integer factors of 482 that divides 482 without a remainder.
1,2,241,482
Factors of 453
List of positive integer factors of 453 that divides 453 without a remainder.
1,3,151,453
Factors of 649
List of positive integer factors of 649 that divides 649 without a remainder.
1,11,59,649
Greatest Common Factor
We found the factors 482,453,649 . The biggest common factor number is the GCF number.
So the greatest common factor 482,453,649 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 46/482, 695/453, 890/649?
Answer: LCM of Numerators as per given numbers 46/482, 695/453, 890/649 is
LCM of Numerators i.e. for 46,695,890 is 2845330
GCF of denominators i.e. for 482,453,649 is 1.
Thus, LCM of Fractions is 2845330.Finally, LCM of Fractions for 46/482, 695/453, 890/649 is 2845330.