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What is the least common multiple of 42 and 72?
LCM = product/HCF; HCF is 6 so LCM = 12 x 42 = 504
What groups of numbers are all prime factors A 2359 C 251519 B 3112331 D 7172949?
C (251519) and B (3112331) are both prime. A (2359) is a multiple of 7 and D (7172949) is a multiple of 3. But, without the number for which they could be a factor, it is only possible to identify the prime numbers, not the one that is a prime factor.
What is the HCF of 680?
To have a HCF, you need at least 2 numbers. There is no HCF in just 1 number.
Does the HCF of any two no is always a factor of their LCM?
If two numbers are expressed as ab and cb this is easier to work out. Assume that a and c have no common prime factors. Thus, the HCF of the two numbers will be b. The LCM is the two numbers multiplied by each other, divided by the HCF. So the LCM will be abc. b is a factor of abc, and so the HCF will always be a factor of their LCM.
How do you find the quotient of two fraction?
Suppose the two fractions, in their simplest form, are a/b and c/d, that is to say, a and b have no common factors, and neither do ca nd d. You want to find the quotient: (a/b) / (c/d). Now, dividing by (c/d) is the same as multiplying by (d/c). So the required quotient is the same as (a/b) * (d/c) or (a*d)/(b*c) . Multiply a and d for the numerator, b abd c for the denominator (after eliminating any factors that are common to a and c, and to b and d). That is your answer.
