Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 65/957, 23/705, 953/201 quickly i.e. 1424735/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 65/957, 23/705, 953/201 is 1424735/3.
LCM(65/957, 23/705, 953/201) = 1424735/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 65/957,23/705,953/201
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 65,23,953
Least Common Multiple of Numerators i.e. LCM of 65,23,953 is 1424735.
GCF of Denominators means GCF of 957,705,201 as per the given fractions.
GCF of 957,705,201 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 65,23,953
Given numbers has no common factors except 1. So, there LCM is their product i.e 1424735
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 65,23,953 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,23,953) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(65,23,953) x common factors =1 x 1 = 1
LCM(65,23,953) = ( 65 × 23 × 953 ) / 1
LCM(65,23,953) = 1424735 / 1
LCM(65,23,953) = 1424735
Lets's calculate GCF of 957,705,201
3 | 957, 705, 201 |
319, 235, 67 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1424735/3
Therefore the LCM of Fractions 65/957,23/705,953/201 is 1424735/3
Factors of 957
List of positive integer factors of 957 that divides 957 without a remainder.
1,3,11,29,33,87,319,957
Factors of 705
List of positive integer factors of 705 that divides 705 without a remainder.
1,3,5,15,47,141,235,705
Factors of 201
List of positive integer factors of 201 that divides 201 without a remainder.
1,3,67,201
Greatest Common Factor
We found the factors 957,705,201 . The biggest common factor number is the GCF number.
So the greatest common factor 957,705,201 is 3.
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 65/957, 23/705, 953/201?
Answer: LCM of Numerators as per given numbers 65/957, 23/705, 953/201 is
LCM of Numerators i.e. for 65,23,953 is 1424735
GCF of denominators i.e. for 957,705,201 is 3.
Thus, LCM of Fractions is 1424735/3.Finally, LCM of Fractions for 65/957, 23/705, 953/201 is 1424735/3.