Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 64/836, 636/938, 999/636 quickly i.e. 1694304 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 64/836, 636/938, 999/636 is 1694304.
LCM(64/836, 636/938, 999/636) = 1694304
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 64/836,636/938,999/636
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 64,636,999
Least Common Multiple of Numerators i.e. LCM of 64,636,999 is 3388608.
GCF of Denominators means GCF of 836,938,636 as per the given fractions.
GCF of 836,938,636 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 64,636,999
2 | 64, 636, 999 |
2 | 32, 318, 999 |
3 | 16, 159, 999 |
16, 53, 333 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 16 x 53 x 333 = 3388608
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 64,636,999 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,636,999) = 1
common factors(in case of two or more numbers have common factors) = 12
GCF(64,636,999) x common factors =1 x 12 = 12
LCM(64,636,999) = ( 64 × 636 × 999 ) / 12
LCM(64,636,999) = 40663296 / 12
LCM(64,636,999) = 3388608
Lets's calculate GCF of 836,938,636
2 | 836, 938, 636 |
418, 469, 318 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3388608/2
Therefore the LCM of Fractions 64/836,636/938,999/636 is 1694304
Factors of 836
List of positive integer factors of 836 that divides 836 without a remainder.
1,2,4,11,19,22,38,44,76,209,418,836
Factors of 938
List of positive integer factors of 938 that divides 938 without a remainder.
1,2,7,14,67,134,469,938
Factors of 636
List of positive integer factors of 636 that divides 636 without a remainder.
1,2,3,4,6,12,53,106,159,212,318,636
Greatest Common Factor
We found the factors 836,938,636 . The biggest common factor number is the GCF number.
So the greatest common factor 836,938,636 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 64/836, 636/938, 999/636?
Answer: LCM of Numerators as per given numbers 64/836, 636/938, 999/636 is
LCM of Numerators i.e. for 64,636,999 is 3388608
GCF of denominators i.e. for 836,938,636 is 2.
Thus, LCM of Fractions is 1694304.Finally, LCM of Fractions for 64/836, 636/938, 999/636 is 1694304.