A multiple of both 3 and 7 is a number that can be evenly divided by both 3 and 7 without leaving a remainder. To find the least common multiple of 3 and 7, you can simply multiply the two numbers together since 3 and 7 are prime numbers and have no common factors other than 1. Therefore, a multiple of both 3 and 7 would be 21.
42
Both 21 and 42 will work. ■
14 = 2 X 7 42 = 2 X 3 X 7 So 2 & 7 are common to both multiples / NB '3' is NOT a common multiple.
No but 21 is a multiple of 3 because 7*3 = 21
The least common multiple of 2 , 3 , 7 = 42
The (LCM) Least Common Multiple of 7 and 3 is 21 because that is the LEAST number that both 3 and 7 go into.
The (LCM) Least Common Multiple of 7 and 3 is 21 because that is the LEAST number that both 3 and 7 go into.
A number that is divisible by both 3 and 7 must be a multiple of their least common multiple, which is 21. Therefore, any number that is a multiple of 21 will be divisible by both 3 and 7. Examples of such numbers include 21, 42, 63, 84, and so on.
42
To find multiples of 7 that are exactly divisible by 3, we need to find numbers that are common multiples of both 7 and 3. The least common multiple of 7 and 3 is 21. Therefore, every multiple of 21 will be exactly divisible by both 7 and 3. Some examples of such numbers include 21, 42, 63, 84, and so on.
Numbers that can be divided evenly by both 3 and 7 must be multiples of the least common multiple of 3 and 7, which is 21. Therefore, any number that is a multiple of 21 can be divided by both 3 and 7. Examples of such numbers include 21, 42, 63, 84, and so on.
The only number that could be both a factor and a multiple is 7 itself.
There is no such number. Since if x were the largest multiple of 3 and 7 then what about 2x? 2x would be a multiple of 3 since x is a multiple of 3; 2x would be a multiple of 7 since x is a multiple of 7; and 2x is bigger than x. So x cannot be the largest.
Both 21 and 42 will work. ■
14 = 2 X 7 42 = 2 X 3 X 7 So 2 & 7 are common to both multiples / NB '3' is NOT a common multiple.
21 is the smallest number that both 7 and 3 divide into evenly with no remainder.
21, 42, 63, 84, 105, 126 . . . infinity.