Common multiples of 2, 5, and 7 are numbers that are divisible by all three of these numbers. To find the common multiples, you can start by listing the multiples of each number: 2 (2, 4, 6, 8, 10, ...), 5 (5, 10, 15, 20, ...), and 7 (7, 14, 21, 28, ...). The common multiples of 2, 5, and 7 are numbers that appear in all three lists, such as 70, 140, 210, and so on.
Since all 3 are prime numbers LCM = 3 * 5 * 7 = 105 All multiples of 105 are multiples of 3, 5 and 7
60 and its multiples
lcm(2, 3, 5) = 30 → 2 digit common multiples are 30, 60, 90.
6 and7
20 pinkgal333:20, 40, 60 are all common multiples.
3, 6, 9 and so on. 5, 10, 15 and so on. 7, 14, 21 and so on. Common multiples include, 105, 210, 315 and so on.
Since all 3 are prime numbers LCM = 3 * 5 * 7 = 105 All multiples of 105 are multiples of 3, 5 and 7
The common multiples of 2 and 5 are numbers that can be divided evenly by both 2 and 5. The common multiples of 2 and 5 are multiples of their least common multiple (LCM), which is 10. Therefore, the common multiples of 2 and 5 are all multiples of 10. Similarly, the common multiples of 2 and 6 are multiples of their LCM, which is 6. Therefore, the common multiples of 2 and 6 are all multiples of 6.
35
60 and its multiples
The Highest Common Factor is 1
lcm(2, 3, 5) = 30 → 2 digit common multiples are 30, 60, 90.
The first two common multiples of 235 is 5 and 47.
The LCM is: 420
10 and 20
6 and7
The common multiples of 2 and 5 are 10, 20, 30, 40, etc.In detail:A common multiple is a number divisible by both (or all) numbers: 2 and 5, here.Knowing that all numbers divisible by 2 have a 0, 2, 4, 6, or 8 in the ones place combined with the knowledge that all numbers divisible by 5 end with 0 or 5 (excluding 0 in both cases), we can say the only multiples of each number that are common to both are numbers that end with 0.Another way of analyzing this problem is to say that both 5 and 2 are factors. 10 is clearly a multiple of 5 and 2 because 2(5)=10. Any number divisible by 10 is thus also divisible by 2 and 5. All numbers divisible by 10 end in 0. Thus, a number ends in 0 if and only if it is divisible by 2 and 5.Answer: Common multiples of 2 and 5 end with zero.