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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.
Which is greater LCM or GCF. Why?
The GCF and LCM of 10 and 10 is 10. But apart from that special circumstance, the LCM will never be less than the GCF. Apart from a number itself, all of its factors are smaller than it. Apart from a number itself, all of its multiples are larger than it. You can't have a GCF that is greater than the smaller number, and you can't have an LCM that is less than the larger one. Factors go into numbers, numbers go into multiples.
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.
Which is greater the LCM of the number or GCF of the number?
The LCM of a set of numbers will never be less than the GCF.
Which is greater the GCF of a number or the LCM of a number?
The LCM of a set of numbers will never be less than the GCF.
What is the GCF of two square numbers?
When you are trying to find the GCF of two numbers and one of the numbers is a multiple of the other, the GCF will be the smaller of the two numbers. The GCF of 3 and 9 is 3.
Can the LCM and the GCF of 2 numbers be the same number?
Only if they're the same number. The LCM and GCF of 10 and 10 is 10.
How do you find the other number when the one number is given with the LCM and the GCF?
The product of the original numbers is equal to the product of the GCF and LCM. Divide the product of the LCM and GCF by the one number. The answer will be the other.
What are the math terms gcf and LCM?
GCF - Greatest Common Factor (GCF is always smaller or equal to at least one of the numbers) LCM - Least Common Multiple (LCM is always greater or equal to at least one of the numbers)
How do you identify the gcf and LCM of a pair of numbers if one number is a factor of the other number?
The GCF is the factor, the LCM is the other one.
What is a number that has 360 as a GCF and 12 as a LCM?
You need at least two numbers to find a GCF or an LCM and the LCM of those numbers can never be less than the GCF. 12 and 360 have a GCF of 12 and an LCM of 360. So do 60 and 72.
What number is the GCF 16 and the LCM 160?
The pair of numbers 16 and 160 has a GCF of 16 and an LCM of 160.
