Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 950/660, 3864/765 quickly i.e. 122360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 950/660, 3864/765 is 122360.
LCM(950/660, 3864/765) = 122360
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 950/660,3864/765
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 950,3864
Least Common Multiple of Numerators i.e. LCM of 950,3864 is 1835400.
GCF of Denominators means GCF of 660,765 as per the given fractions.
GCF of 660,765 is 15 as it is the largest common factor for these numbers.
Lets's calculate LCM of 950,3864
2 | 950, 3864 |
475, 1932 |
∴ So the LCM of the given numbers is 2 x 475 x 1932 = 1835400
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 950,3864 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(950,3864) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(950,3864) x common factors =2 x 1 = 2
LCM(950,3864) = ( 950 × 3864 ) / 2
LCM(950,3864) = 3670800 / 2
LCM(950,3864) = 1835400
Lets's calculate GCF of 660,765
3 | 660, 765 |
5 | 220, 255 |
44, 51 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1835400/15
Therefore the LCM of Fractions 950/660,3864/765 is 122360
Factors of 660
List of positive integer factors of 660 that divides 660 without a remainder.
1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660
Factors of 765
List of positive integer factors of 765 that divides 765 without a remainder.
1,3,5,9,15,17,45,51,85,153,255,765
Greatest Common Factor
We found the factors 660,765 . The biggest common factor number is the GCF number.
So the greatest common factor 660,765 is 15.
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 950/660, 3864/765?
Answer: LCM of Numerators as per given numbers 950/660, 3864/765 is
LCM of Numerators i.e. for 950,3864 is 1835400
GCF of denominators i.e. for 660,765 is 15.
Thus, LCM of Fractions is 122360.Finally, LCM of Fractions for 950/660, 3864/765 is 122360.