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The smallest multiple of 2,3,4, and 5 is 60 ■

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Isaiah Fuda

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Q: What number is a multiple of 2 3 4 and 5?
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Why can't a number that ends in 3 be a multiple of 4?

A number that ends in 3 can't be a multiple of 4 because the 4 times table goes in a pattern, (e.g 4, 8, 12, 16, 20, 24.) If the number ends in either 0 2 4 6 8 then it couldbe a possible multiple of 4. It always ends in an even number. 3 is not an even number so it is not going to be the last number of a multiple of 4.


What number is a multiple of 2 3 4 5 6?

60


How do you know if a number is divisible by 2 and 3?

If a number is even, it's divisible by two. If the digits of a number add up to a multiple of 3, it's a multiple of 3. For example, 342 is divisible by 3 because 3 + 4 + 2 = 9 and 9 is divisible by 3.


What number is a factor of 12 but not a multiple of 3?

The factors of 12 are: 1, 2, 3, 4, 6, 12. Those which are not multiples of 3 are: 1, 2, 4.


How many numbers from 1 to 100 are multiples of 2 3 4 6 8 9?

Assuming you mean that you want the number of multiples of each, then for 1-100: number of multiples of 2 = 50 number of multiples of 3 = 33 number of multiples of 4 = 25 number of multiples of 6 = 16 number of multiples of 8 = 12 number of multiples of 9 = 11 Assuming you mean that you want the numbers that are multiples of 2, 3, 4, 6, 8 or 9, then some numbers may be multiples of more than one (for example 12 is a multiple of 2, 3, 4 and 6) and so a straight addition of the number of multiples of each cannot be done: Consider 2, 4 and 8 Every multiple of 4 or 8 is also a multiple of 2, so all the multiples of 4 and 8 are counted by the multiples of 2. Consider 3 and 9 Every multiple of 9 is also a multiple of 3, so all the multiples of 9 are counted by the multiple of 3 Consider 2, 3 and 6. Every multiple of 6 is an even multiple of 3, so are counted in both the multiples of 2 and 3. So the total number of multiples of 2, 3, 4, 6, 8 or 9 is the number of multiples of 2 plus the number of multiples of 3 minus the number of multiples of 6: For 1 to 100, Number of multiples of 2 = 50 Number of multiples of 3 = 33 Number of multiples of 6 = 16 So number of multiples of 2, 3, 4, 6, 8 or 9 in 1-100 is 50+33-16 = 67. Assuming you mean that they are multiples of all of 2, 3, 4, 6, 8 and 9, then they must be multiples of the lowest common multiple of 2, 3, 4, 6 ,8, 9 2 = 21, 3 = 31, 4 = 22, 6 = 2131, 8 = 23, 9 = 32 LCM = highest power of the primes used = 2332 = 72 Thus all numbers that are multiples of 2, 3, 4, 6, 8 and 9 are multiples of 72, which means between 1 and 100 only 1 number is a multiple of all of them, namely 72

Related questions

What is the lowest number divisible by 2 3 and 4?

The least common multiple of 2, 3 and 4 is 12.


How do you determine a multiple of a number?

Multiply the number by 1, 2, 3, 4 and so on.


Why can't a number that ends in 3 be a multiple of 4?

A number that ends in 3 can't be a multiple of 4 because the 4 times table goes in a pattern, (e.g 4, 8, 12, 16, 20, 24.) If the number ends in either 0 2 4 6 8 then it couldbe a possible multiple of 4. It always ends in an even number. 3 is not an even number so it is not going to be the last number of a multiple of 4.


Why is twelve the least common multiple of 2 3 and 4?

To find the least common multiple of 2, 3, and 4, factor them: 2 = 2 x 1 3 = 3 x 1 4 = 2 x 2 (Since one 2 has already been used to factor the number 2, only one 2 counts in the factors for the number 4.) The least common multiple of 2, 3, and 4 = 1 x 2 x 3 x 2 = 12.


What number is a multiple of 2 3 4 5 6?

60


i am an even number, if you add 5 to me i become a multiple of 3 what is the number?

The number you're looking for is 4. It's an even number, and when you add 5 to it, the result is 9, which is a multiple of 3.


Dividing rules for 1-12?

13


What is the smallest number multiple of 3 and 4?

12 is the smallest multiple of 3 and 4.


Why a number which ends in 3 cannot be a multiple of 4?

If a number is divisible by 4, it also means that the same number is divisible by 2. But if the number ends in a 3, it can't be divisible by 2 and, to a further extent, can't be divisible by 4.


Find the least common multiple of 4 and 9?

To find the least common multiple (LCM), first factor each of the numbers. The factors of 4 are 2*2. The factors of 9 are 3*3. List the factors of the first number, 4, which is 2*2. List all factors from the second number that are not included in the first number, which is 3*3. The LCM is 2*2*3*3 or the original numbers 4*9 = 36. The LCM of 4 & 9 is 36.


A 2 digit number a multiple of 3 and 4 the sum of its digits is 15?

96


Is their a number divisible by 1 2 3 4 5?

Any multiple of 60.