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Is the LCM of two numbers always larger than either number Why or why not?
Not always, sometimes the LCM equals the greatest number, i.e.the LCM of 5 and 6 is 30, the LCM of 3 and 6 is 6.
Can LCM ever be smaller than the two starting numbers?
No.
Why do some numbers have their LCM and their product the same?
If the two numbers do not have any factors in common (other than 1), then the LCM is the same as the product of the two numbers. Example: LCM of 5 & 6 is 30, which is the same as the product.
What are two numbers whose LCM is less than their product?
The LCM of 4 and 6 is 12.
How do you find the LCM of 2 numbers if one number is prime?
If the second number is a multiple of the prime number, than the LCM is the second number. If the second number is not a multiple of the prime number, then the two numbers are relatively prime, and the LCM is the product of the two numbers.
What is the LCM of the two numbers if one number is a multiple of the other?
When one of two numbers is a multiple of the other, the LCM is the larger number.
What is the LCM of two numbers if one is a multiple of the other?
The LCM is the larger number.
What LCM goes onto 8 and 12?
None. The LCM of two (or more) numbers is at least as large as the numbers. This means that the LCM must be larger than the smallest of the set of numbers and so the LCM cannot go into it.
How Given any two numbers which is greater the LCM of the numbers or. The GCF of the numbers why?
The LCM will never be less than the GCF. To be a multiple of both numbers, the LCM will have to be equal to or greater than the larger number. To be a factor of both numbers, the GCF will have to be equal to or less than the smaller number. The only problem comes when you're comparing a number to itself. The LCM of 10 and 10 is 10. The GCF of 10 and 10 is 10.
What is the LCM of two numbers if one number is multiple of the other?
The LCM is the larger number.
Explain Why the LCM is at least as large as the GCF.?
No number can have a multiple smaller than itself. No number can have a factor larger than itself. In a set of two numbers, the LCM can't be smaller than the larger number and the GCF can't be larger than the smaller number. In rare cases, the LCM can equal the GCF, but it can never be smaller.
What do you notice about the LCM of two numbers if the smaller number is a of the other numb?
The LCM is the larger number.
Is the LCM of two numbers always larger than either number Why or why not?
Not always, sometimes the LCM equals the greatest number, i.e.the LCM of 5 and 6 is 30, the LCM of 3 and 6 is 6.
What is the LCM of any two consecutive numbers?
The LCM of any two consecutive numbers greater than zero is the two numbers multiplied together. eg. the LCM of 10 and 11 is: 10*11=110
What is the least possible value for the LCM of any two numbers?
It is the larger of the two numbers.
Can you always find the LCM for two numbers by multiplying them Why or why not?
This does not work when one of the numbers is negative.
Which is greater gcf or LCM?
The LCM of two numbers will never be less than the GCF.
