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.
The LCM of 54 and 24 is 216.The Least Common Multiple (LCM) for 54 24 is 216factoring24=2*2*2*354=2*3*3*3so LCM =2*2*2*3*3*3=216
You cannot. The numbers 2 and 12 have hcf = 2 and LCM = 12 The numbers 4 and 6 also have hcf = 2 and LCM = 12 So if you just knew the hcf and LCM you would not know which of the two was the required pair.
HCF of 17 and 68 is 17 ..( Lowest Prime factor ) LCM Of 102 and 476 is 7*2^2*3*17 which is 1428 .. ==> Sum of HCF and LCM are 1428+17= 1445 .
2 and 12
2 and 20
2 and 12
2 and 20 have an HCF of 2 and an LCM of 20. You could also use 4 and 10.
HCF of 20 means the two numbers have common prime factors of 2, 2 and 5. However, LCM of 535 means that both of the numbers are odd. This cannot be the case if they have a prime factor of 2. Thus two numbers cannot have 20 as hcf and 535 as lcm.
Any two numbers that have a common factor greater than 1 will have a LCM less than their product, eg: LCM(10, 15) = 30 < 10 x 15 = 150 (since HCF(10, 15) = 5) LCM(6, 10) = 30 < 6 x 10 = 60 (since HCF(6, 10) = 2) LCM(18, 27) = 54 < 18 x 27 = 486 (since HCF(18, 27) = 9)
6 and 10 2x3=6 2x5=10 HCF=2 LCM=30
2 and 12
3 and 30.