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
5 and 10 lcm- 10 and hcf= 5
To find HCF & LCM of two or more numbers. Divide by prime numbers. We note in this case, 12, & 30 are both even numbers, so they will divide by '2'. Hence 2)12 2)6 3)3 = 1 & 2)30 3)15 5)5 = 1 First reduce both numberx to '1'. Second;ly, we note that '2' & '3' bo appear in each set of numbers. Hence 2 x 3 = 6 is the HCF Having made this multiplication we are left with a '2' in the twelve and a '5' in the thirty.. Hence 6(HCF) X 2 X 5 = 60 the LCM. Done!!!! Hope that helps!!!!
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.
The LCM=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.
4
5 and 10 lcm- 10 and hcf= 5
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
5 and 75 15 and 25
To find HCF & LCM of two or more numbers. Divide by prime numbers. We note in this case, 12, & 30 are both even numbers, so they will divide by '2'. Hence 2)12 2)6 3)3 = 1 & 2)30 3)15 5)5 = 1 First reduce both numberx to '1'. Second;ly, we note that '2' & '3' bo appear in each set of numbers. Hence 2 x 3 = 6 is the HCF Having made this multiplication we are left with a '2' in the twelve and a '5' in the thirty.. Hence 6(HCF) X 2 X 5 = 60 the LCM. Done!!!! Hope that helps!!!!
The GCF is 5. The LCM is 70. The difference is 65.
hcf(5, 15) = 5 lcm(5, 15) = 15.
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.
Oh honey, the Highest Common Factor (HCF) of 5 and 7 is 1 because those two numbers don't have any common factors other than 1. The Lowest Common Multiple (LCM) of 5 and 7 is simply the product of the two numbers, which is 35. So there you have it, simple math for a simple question!
The LCM=60
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
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)