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
Both 7 and 13 are factors of their least common multiple, which is 91. Additionally, they both divide evenly into any multiple of 91, such as 182 or 273. Therefore, any multiple of 91 can be expressed as a product involving both 7 and 13.
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.
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.
42
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.