The two numbers that have a least common multiple (LCM) of 54 and a highest common factor (HCF) of 3 are 27 and 18. The LCM is the smallest common multiple of the two numbers, while the HCF is the largest common factor. In this case, 27 and 18 have a LCM of 54 (27 x 2) and a HCF of 3 (3 x 3).
Chat with our AI personalities
Oh, what a happy little math question we have here! To find two numbers with a Least Common Multiple (LCM) of 54 and a Highest Common Factor (HCF) of 3, we can think of it as a puzzle. The two numbers that fit this beautifully are 27 and 18. Just like painting a lovely landscape, sometimes math problems can be like a fun little adventure!
Well, honey, the two numbers you're looking for are 27 and 9. Their Least Common Multiple (LCM) is 54, which is just the fancy way of saying the smallest number they both divide into evenly. And their Highest Common Factor (HCF) is 3, which is just the biggest number that divides them both without leaving a remainder. Hope that clears things up for ya!
2 and 20
3 and 30.
To find the LCM, you multiply the numbers together and then divide by the HCF. In this case, we don't know the numbers, but we have the HCF (13) and we have the product of the numbers (1690). Thus all you do is divide 1690 by 13 to get: 1690/13 = 130 And thus the LCM of two numbers whose hcf is 13 and product is 1690 is 130.
hcf(18, 54, 81) = 9. Using prime factorization: 18 = 2 x 3^2 54 = 2 x 3^3 81 = 3^4 hcf = 3^2 = 9
HCF of 3 means that the two numbers share 3 as a prime factor. LCM of 30 means there is a 2, a 3 and a 5 as prime factors between the numbers. With this info, we can have the combination where one number has a 2 and the other a 5 (and both have the 3) or one number has just the 3 and the other has 2, 3 and 5. Thus the 2 numbers can be 6 and 15. Or they can be 3 and 30.