Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 836/250, 957/644, 885/630 quickly i.e. 10727970 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 836/250, 957/644, 885/630 is 10727970.
LCM(836/250, 957/644, 885/630) = 10727970
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 836/250,957/644,885/630
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 836,957,885
Least Common Multiple of Numerators i.e. LCM of 836,957,885 is 21455940.
GCF of Denominators means GCF of 250,644,630 as per the given fractions.
GCF of 250,644,630 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 836,957,885
3 | 836, 957, 885 |
11 | 836, 319, 295 |
76, 29, 295 |
∴ So the LCM of the given numbers is 3 x 11 x 76 x 29 x 295 = 21455940
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 836,957,885 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(836,957,885) = 1
common factors(in case of two or more numbers have common factors) = 33
GCF(836,957,885) x common factors =1 x 33 = 33
LCM(836,957,885) = ( 836 × 957 × 885 ) / 33
LCM(836,957,885) = 708046020 / 33
LCM(836,957,885) = 21455940
Lets's calculate GCF of 250,644,630
2 | 250, 644, 630 |
125, 322, 315 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21455940/2
Therefore the LCM of Fractions 836/250,957/644,885/630 is 10727970
Factors of 250
List of positive integer factors of 250 that divides 250 without a remainder.
1,2,5,10,25,50,125,250
Factors of 644
List of positive integer factors of 644 that divides 644 without a remainder.
1,2,4,7,14,23,28,46,92,161,322,644
Factors of 630
List of positive integer factors of 630 that divides 630 without a remainder.
1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630
Greatest Common Factor
We found the factors 250,644,630 . The biggest common factor number is the GCF number.
So the greatest common factor 250,644,630 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 836/250, 957/644, 885/630?
Answer: LCM of Numerators as per given numbers 836/250, 957/644, 885/630 is
LCM of Numerators i.e. for 836,957,885 is 21455940
GCF of denominators i.e. for 250,644,630 is 2.
Thus, LCM of Fractions is 10727970.Finally, LCM of Fractions for 836/250, 957/644, 885/630 is 10727970.