Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 955/46, 321/1955 quickly i.e. 306555/23 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 955/46, 321/1955 is 306555/23.
LCM(955/46, 321/1955) = 306555/23
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 955/46,321/1955
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 955,321
Least Common Multiple of Numerators i.e. LCM of 955,321 is 306555.
GCF of Denominators means GCF of 46,1955 as per the given fractions.
GCF of 46,1955 is 23 as it is the largest common factor for these numbers.
Lets's calculate LCM of 955,321
Given numbers has no common factors except 1. So, there LCM is their product i.e 306555
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 955,321 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(955,321) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(955,321) x common factors =1 x 1 = 1
LCM(955,321) = ( 955 × 321 ) / 1
LCM(955,321) = 306555 / 1
LCM(955,321) = 306555
Lets's calculate GCF of 46,1955
23 | 46, 1955 |
2, 85 |
∴ So the GCF of the given numbers is 23 = 23
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 306555/23
Therefore the LCM of Fractions 955/46,321/1955 is 306555/23
Factors of 46
List of positive integer factors of 46 that divides 46 without a remainder.
1,2,23,46
Factors of 1955
List of positive integer factors of 1955 that divides 1955 without a remainder.
1,5,17,23,85,115,391,1955
Greatest Common Factor
We found the factors 46,1955 . The biggest common factor number is the GCF number.
So the greatest common factor 46,1955 is 23.
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 955/46, 321/1955?
Answer: LCM of Numerators as per given numbers 955/46, 321/1955 is
LCM of Numerators i.e. for 955,321 is 306555
GCF of denominators i.e. for 46,1955 is 23.
Thus, LCM of Fractions is 306555/23.Finally, LCM of Fractions for 955/46, 321/1955 is 306555/23.