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Lets say you ran a plant that used special screws to hold a motor together. The screws come in packages of 8, and the motors come in packages of 10. You don't want a lot of extra screws around, because they are very expensive. So you wonder- at what point do the screws and motors match up in packages of 8 and 10? That way you can order them in even amounts. The answer is 40, because 5 x 8 and 4 x 10 both = 40.
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What's the difference between a greatest common factor and a least common multiple?
Difference Between GCF and LCM. The Greatest Common Factor (or the GCF) is the greatest real number shared between two integers. ... On the other hand, the Lowest Common Multiple (or LCM) is the integer shared by two numbers that can be divided by both numbers
What are two pairs of numbers that have 10 as their least common multiple?
Well, darling, any pair of numbers that are multiples of 10 would work just fine. For example, 10 and 20, or 30 and 10. As long as 10 is the smallest number that both pairs can be evenly divided by, you're good to go. Math can be a real hoot sometimes, can't it?
Can you always find the least common multiple of 2 numbers by multiplying them together?
No, that will not always work. in the case for some numbers it will work. for example 3 * 4 = 12. it works here. however if you do that for 30 and 20, you will get 600. the real lowest common multiple is 60. so it does not always work.
What are some real life applications of gcf and LCM?
Those are commonly used for working with fractions. You need the least common multiple to find a common denominator, for adding or subtracting fractions. And after doing some manipulations with fractions, you need the greatest common factor to simplify the fractions.Now, whether this is sufficiently "real-life" for you, is another issue. Depending on the career you choose, you many need to work with fractions on a daily basis, or you may hardly ever need them.
What numbers are divisible by 3 4 and 5?
Well, honey, the numbers that are divisible by 3, 4, and 5 are called multiples of the least common multiple of 3, 4, and 5, which is 60. So, any number that is a multiple of 60 will be divisible by 3, 4, and 5. Math can be a real party pooper sometimes, but that's just how the cookie crumbles.
