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How can you determine whether the LCM of two numbers is the product of the numbers or is less than the product of the numbers explain?

Updated: 4/28/2022

Wiki User

9y ago

If the two numbers have no common factors other than 1, the LCM will be their product. If there are other common factors, the LCM will be less.

Wiki User

9y ago

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Q: How can you determine whether the LCM of two numbers is the product of the numbers or is less than the product of the numbers explain?
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How can you determine if whether the LCM of 2 numbers is the product of the numbers?

If they have no common factors other than 1.

How can you determine from the prime factorization whether the least common multiple of two numbers is the product of the numbers?

If the prime factorizations have no factors in common, the LCM is the product of them.

How can yo determine whether the LCM of two numbers is the product of the numbers or less than the product of the numbers?

If their GCF is 1, their LCM is their product. If their GCF is greater than 1, their LCM is less than their product.

How can you determine from the prime factorizations whether the least common multiple of two numbers is the product of the numbers or is less than the product of the two numbers?

If none of the prime factors are in common, the LCM will be the product of the two.

How can you determine whether the LCM of two numbers is the product of the numbers or is less than the product if the numbers?

By finding out whether they have any factors in common. If the only factor they have in common is 1, the LCM will be their product. If they have more factors in common, their LCM will be less than their product.

How can you determine from the prime factorization whether the least common multiple of two numbers is the product of the number?

If the two numbers have no common prime factors, the LCM will be the product of the numbers.

Explain how you know whether an estimate of a product is an overestmate or an underestimate?

Explain how you know whether an estimate of a product is an overestimate or an underestimate?

How would you determine whether the product of many natural numbers is even or odd?

If at least one of the numbers is even, the result will be even. Otherwise all the numbers are odd and the result will be odd.

How would you Explain how you would decide whether the product of three numbers is positive or negative?

If all three numbers are positive then the product obviously has to be positive. If TWO of the three numbers are negative, then the product is also positive. But if exactly ONE of the three numbers is negative or if all THREE are negative, then the product must be negative. In general, a product of numbers is negative if an ODD NUMBER of the terms is negative.

Explain whether it is easier to estimate the product 13.72 x 47.28 by using compatible numbers or by rounding each factor to the nearest whole number?

Compatible numbers would be easier. Rounding gives you 14 x 47. Compatible numbers could be 13 x 50 which would be closer to the actual product.

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