Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 869/952, 205/206, 738/618 quickly i.e. 1603305 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 869/952, 205/206, 738/618 is 1603305.
LCM(869/952, 205/206, 738/618) = 1603305
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 869/952,205/206,738/618
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 869,205,738
Least Common Multiple of Numerators i.e. LCM of 869,205,738 is 3206610.
GCF of Denominators means GCF of 952,206,618 as per the given fractions.
GCF of 952,206,618 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 869,205,738
41 | 869, 205, 738 |
869, 5, 18 |
∴ So the LCM of the given numbers is 41 x 869 x 5 x 18 = 3206610
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 869,205,738 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(869,205,738) = 1
common factors(in case of two or more numbers have common factors) = 41
GCF(869,205,738) x common factors =1 x 41 = 41
LCM(869,205,738) = ( 869 × 205 × 738 ) / 41
LCM(869,205,738) = 131471010 / 41
LCM(869,205,738) = 3206610
Lets's calculate GCF of 952,206,618
2 | 952, 206, 618 |
476, 103, 309 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3206610/2
Therefore the LCM of Fractions 869/952,205/206,738/618 is 1603305
Factors of 952
List of positive integer factors of 952 that divides 952 without a remainder.
1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952
Factors of 206
List of positive integer factors of 206 that divides 206 without a remainder.
1,2,103,206
Factors of 618
List of positive integer factors of 618 that divides 618 without a remainder.
1,2,3,6,103,206,309,618
Greatest Common Factor
We found the factors 952,206,618 . The biggest common factor number is the GCF number.
So the greatest common factor 952,206,618 is 2.
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 869/952, 205/206, 738/618?
Answer: LCM of Numerators as per given numbers 869/952, 205/206, 738/618 is
LCM of Numerators i.e. for 869,205,738 is 3206610
GCF of denominators i.e. for 952,206,618 is 2.
Thus, LCM of Fractions is 1603305.Finally, LCM of Fractions for 869/952, 205/206, 738/618 is 1603305.