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What does find three pairs of numbers for which the least common multiple equals the product of the two numbers mean?
It means write down three pairs of numbers that are relatively prime like 4 and 9, 5 and 6, 13 and 25
Least common multiple for 7 and 17?
7 and 17 are both primes numbers. The means that to find the LCM we need multiply them. The LCM of 7 and 17 is 7x17 which is 119. If two numbers are prime, then they are also relatively prime and in general the way to find the LCM of relatively prime number is to multiply them together.
What times what equal 285?
To find two numbers that multiply to 285, you can factorize 285 into its prime factors: 3 x 5 x 19. These prime factors can be combined in different ways to form pairs of numbers that multiply to 285. So, the pairs of numbers that multiply to 285 are 3 and 95, 5 and 57, or 15 and 19.
How do you find the largest square factor of whole numbers?
The long but fool-proof way is to find the complete prime factorisation of the number. Then group all the factors into pairs, rejecting any that cannot be paired. The product of the numbers that are left is the largest square factor.
What is the least common multiple of 11 and 23?
The LCM or least common multiple is 253. In this case, the greatest common factor of the two numbers is 1. That is to say, they have no other common factors. We call these numbers relatively prime. When two numbers are relatively prime their LCM is always the product of the two numbers.Sometimes it is easier to find the greatest common factor than to find the least common multiple by looking at multiples of both numbers. This is true if the numbers are primes like 11 and 23. So if you are give two primes, the LCM will always be the product of the two numbers.
