Is the statement below always,sometimes,or never true? Give at least two examples to support your reasoning. The LCM of two numb
ers is the product of tjr two numbers
1 answer:
Answer:
- True for Co-Prime Numbers
- False for Non Co-Prime Numbers
Step-by-step explanation:
<u>STATEMENT:</u> The LCM of two numbers is the product of the two numbers.
This statement is not true except if the two numbers are co-prime numbers.
Two integers a and b are said to be co-prime if the only positive integer that divides both of them is 1.
<u>Example: </u>
- Given the numbers 4 and 7, the only integer that divides them is 1, therefore they are co-prime numbers and their LCM is their product 28.
- However, consider the number 4 and 8. 1,2 and 4 divides both numbers, they are not co-prime, Their LCM is 8 which is not the product of the numbers.
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