Find the first three common multiples of 6,8 (2024)

FAQs

Find the first three common multiples of 6,8? ›

Thus, first three common multiples of 6 and 8 = 24, 48, 72.

Hence, the first three Common multiples of 6 and 8 = 24, 48, 72.

(a) Given numbers are 6 and 8. The first few multiples of 6 are: 6, 12 ,18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78.... Similarly, the multiples of 8 are: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80..... Hence, the first three common multiples of 6 and 8 are 24, 48 and 72.

The HCF of 6 and 8 is 2. The greatest possible number that divides 6 and 8 perfectly without any remainder is the HCF of 6 and 8. The highest number that divides 6 and 8 perfectly, leaving no remainder, is known as the HCF of 6 and 8. The factors of 6 and 8 are 1, 2, 3, 6, and 1, 2, 4, 8, respectively.

To find the common multiples of given numbers, find the LCM of those numbers. The multiples of the LCM will be the common multiples of those numbers. The first three multiples of 24 are 24, 48, and 72. So, the first three common multiples of 6 and 8 are 24, 48, and 72.

Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, … Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, … The common multiples of 6 and 8 are 24, 72, … The lowest of these multiples is 24.

Multiples of 6: 6, 12, 18, 24, 30, 36, 42…. Multiples of 8: 8, 16, 24, 32, 40, 48, 56…. Hence the LCM of 6 and 8 is 24.

72: The third common multiple of 6, 8, and 10 is 72 because it is divisible by all three numbers (72 ÷ 6 = 12, 72 ÷ 8 = 9, 72 ÷ 10 = 7.2). So, the first three common multiples of 6, 8, and 10 are 24, 48, and 72.

The multiples of 3 are: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, …

What is the LCM of 3 and 8? The LCM of 3 and 8 is 24.

What is the least common multiple of 6 and 8? ›

For instance, the first matching multiple(s) of 6 and 8 are 24, 48, 72. Because 24 is the smallest, it is the least common multiple. The LCM of 6 and 8 is 24.

First, list the first few multiples of 6 and 8. 6, 12, 18, 24, 30, 36, 42, 48 ... Then, identify the common multiples. 6, 12, 18, 24, 30, 36, 42, 48 ...

multiples of 3 are 3,6,9,12,18,21,24,27,30,33,36........ multiples of 6 are 6,12,18,24,30,36,.......... common multiple of 3 and 6 are 6,12,18,24,30,36..... Hence, all the multiples of 6 are common multiples of 3 and 6.

Hence, the common multiples of 18 and 6 are 36, 54, and 72, which is option (c). Note: We must keep in mind that the least common multiple (LCM) of 18 and 6 is 18.

First, list the first few multiples of 6 and 8. 6, 12, 18, 24, 30, 36, 42, 48 ...

The multiples of 6 are 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, etc.

72: The third common multiple of 6, 8, and 10 is 72 because it is divisible by all three numbers (72 ÷ 6 = 12, 72 ÷ 8 = 9, 72 ÷ 10 = 7.2). So, the first three common multiples of 6, 8, and 10 are 24, 48, and 72.