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An HCF of 5 means that the numbers have a common prime factor of 5, but nothing else. A LCM of 60 means the numbers have between them the factors 2, 2, 3 and 5. The 2s cannot be split or the HCF would be higher, so both must go to one number. Assuming the numbers aren't just 60 and 5, the three must go to the other number, giving us:
3x5 and 2x2x5
=15 and 20
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The LCM of two numbers is twice their HCF?
5 and 10 lcm- 10 and hcf= 5
Can two numbers have 20 as HCF and 535 as LCM?
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.
What is the LCM of the numbers 2 5 12 15?
The LCM=60
What is the HCF of 25 and 60?
To find the HCF of two numbers you first have to break the numbers down into their prime factors. In this case: 25 = 5x5 60 = 2x2x3x5 The next step is to identify any common prime factors. In this case both numbers have a 5 as a prime factor. Thus the HCF of 25 and 60 is 5.
How do you find the LCM of 15 and 18?
Factors: 15 = 3 x 5, 18 = 2 x 3 x 3. The LCM of two numbers = their product divided by their HCF. In this instance the product is 270 and the HCF is 3 so the LCM is 90.
Which two numbers have an LCM of 60 and HCF of 5?
4
The LCM of two numbers is twice their HCF?
5 and 10 lcm- 10 and hcf= 5
Obtain two numbers their LCM is 20 and their HCF is 300?
Factorize the LCM 20 = 2 x 2 x 5 Factorize the HCF 300 = 2 x 2x3x5x5 The HCF is the common factor for both numbers whereas the LCM contains all the unique factors of both numbers. So, 2 x 2x5 or 20 is a common factor for both numbers. The factors remaining are 3 and 5. So, 3 is a factor of one number and 5 is the factor of the second number. The first number = 20x 3 = 60 The second number = 20x 5 = 100 So 60 and 100 are two numbers Answer = 60 and 100
What are 2 numbers that have an LCM of 75 and HCF of 5?
5 and 75 15 and 25
The difference between the LCM and HCF of the numbers 5 10 and 35 is?
The GCF is 5. The LCM is 70. The difference is 65.
What is the hcf and lcm of 5 and 15?
hcf(5, 15) = 5 lcm(5, 15) = 15.
Can two numbers have 20 as HCF and 535 as LCM?
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.
What is the HCF and LCM of 5 and 7?
hcf is 1 and LCM is 35
What is the LCM of the numbers 2 5 12 15?
The LCM=60
What is the least common multiple of 65 and 155?
LCM of two numbers = product/HCF; 65 = 5 x 13, 155 = 5 x 31 so HCF is 5 and LCM is 65 x 155/5 = 2015
What 2 pair of numbers whose LCM is less than the product of the 2 numbers?
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)
What LCM could go into 830 and 45?
The LCM will be larger than those numbers, i.e. 4740. The HCF (GCF) is 5
