The least common multiple of 6 and 4 is 12. The least common multiple (LCM) is the lowest (least) postive number that two or more numbers can be divided into without a remainder. To find it, you can list the multiples, in order, of the given numbers. For 6, you would list {6, 12 , 18, 24...}. For 4, you would list {4, 8, 12 , 16, 20, 24...}. Then you look for the lowest positive number that ...
Share, comment, bookmark or report
What is the least common multiple of {7, 18, 21, 48}? Three friends Alice, Bond and Charlie divide $1105 among them. When $10, $20 and $15 are removed from the sums that Alice, Bond and Charlie received, the share of the sums that they receive is in the ratio of 11 : 18 : 24. What did Charlie receive?
Share, comment, bookmark or report
Start by checking the multiplication table of the largest number, 9. 9 × 1 = 9. 9 × 2 = 18. Now, 18 is present in the multiplication tables of 2 and 6 as well. You can check this : 18 = 2 × 3 × 3 or 18 = 2 × 9 or 18 = 6 × 3. Answer link. 18. We list the multiples for each number to detect the least common multiple. 2-=2 . 4 .
Share, comment, bookmark or report
Answer link. 36 One way we can use is prime factorisation. We factorise 4, 6 and 9 4= 2^2 6=2*3 9=3^3 Once we have this we use the highest of each prime number. So in this case we have the 2^2 and 3^3 as our highest of those to primes. Next all we need to do is times those together 2^2= 4 3^3=9 4*9=36 36 is the LCM of 4, 6 and 9.
Share, comment, bookmark or report
If we do, we have to make sure that there isn't any other number lower than that that 6 and 9 go into! (First 5) Multiples of 6: 6,12,18,24,30. (First 5) Multiples of 9: 9,18,27,36,45. There isn't any number before 18 that 6 and 9 both go into, so 18 is the LCM of 6 and 9! Now we don't need to write down anymore multiples.
Share, comment, bookmark or report
Least Common Multiple is 42. Multiples of 2 are {2,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36,38,40,42,44,46,48,50,...} Multiples of 3 are {3,6,9,12,15,18,21,24 ...
Share, comment, bookmark or report
First, realise that you do not need to consider the 3 at all. It is a factor of 9, so any multiple 9 is a factor of 3. Second: Notice that 4 and 9 do not have any common factor, so the LCM has to have all the factors of 4 and 9. Look at the product of the prime factors: LCM =...3 × 3 × 2 × 2 = 36. The LCM of 4, 9 and 3 is 36.
Share, comment, bookmark or report
We divide each number by their LCM. 12 3 ⇒ 4. 15 3 ⇒ 5. We multiply these two quotients and the LCM to get our final answer: 3 ⋅ 4 ⋅ 5 = 60. That is our answer! Answer link. LCM=60 When we're looking at the LCM (Least Common Multiple), we're looking for a number that both 12 and 15 are a factor of.
Share, comment, bookmark or report
Explanation: Start with the largest figure. In this case, that is 12. You know that the LCM has to be some multiple of 12, so start considering the multiples of 12 one at a time. 12 ×1 ← 12 doesn't work because 9 doesn't go into 12 evenly (even though 4 does.) 12 ×2 ← 24 isn't it either because 9 doesn't go into 24.
Share, comment, bookmark or report
The lowest common multiple (LCM) of numbers a and b can be calculated as: lcm(a, b) = a × b gcd(a, b) where gcd is the greatedt common divisor. In the given example the greatest common divisor (gcd) is 1, so the lowest common multiple is lcm(5,9) = 5 × 9 = 45. LCM (5,9)=45.
Share, comment, bookmark or report
Comments