Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 45/340, 50/915, 458/641 quickly i.e. 103050 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 45/340, 50/915, 458/641 is 103050.
LCM(45/340, 50/915, 458/641) = 103050
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 45/340,50/915,458/641
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 45,50,458
Least Common Multiple of Numerators i.e. LCM of 45,50,458 is 103050.
GCF of Denominators means GCF of 340,915,641 as per the given fractions.
GCF of 340,915,641 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 45,50,458
2 | 45, 50, 458 |
5 | 45, 25, 229 |
9, 5, 229 |
∴ So the LCM of the given numbers is 2 x 5 x 9 x 5 x 229 = 103050
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 45,50,458 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(45,50,458) = 1
common factors(in case of two or more numbers have common factors) = 10
GCF(45,50,458) x common factors =1 x 10 = 10
LCM(45,50,458) = ( 45 × 50 × 458 ) / 10
LCM(45,50,458) = 1030500 / 10
LCM(45,50,458) = 103050
Lets's calculate GCF of 340,915,641
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 103050/1
Therefore the LCM of Fractions 45/340,50/915,458/641 is 103050
Factors of 340
List of positive integer factors of 340 that divides 340 without a remainder.
1,2,4,5,10,17,20,34,68,85,170,340
Factors of 915
List of positive integer factors of 915 that divides 915 without a remainder.
1,3,5,15,61,183,305,915
Factors of 641
List of positive integer factors of 641 that divides 641 without a remainder.
1,641
Greatest Common Factor
We found the factors 340,915,641 . The biggest common factor number is the GCF number.
So the greatest common factor 340,915,641 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 45/340, 50/915, 458/641?
Answer: LCM of Numerators as per given numbers 45/340, 50/915, 458/641 is
LCM of Numerators i.e. for 45,50,458 is 103050
GCF of denominators i.e. for 340,915,641 is 1.
Thus, LCM of Fractions is 103050.Finally, LCM of Fractions for 45/340, 50/915, 458/641 is 103050.