0
No.
-------------------------------------------------------------
To find the HCF and LCM of two (or more) numbers list the numbers in their prime factorisations in power format; then:
- HCF = product of the primes to the LOWEST power across all the numbers;
- LCM = product of the primes to the HIGHEST power across all the numbers.
The HIGHEST power of a prime must be at least the LOWEST power of a prime.
Thus if a prime appears in the HCF of the numbers (with a power greater than or equal to 1) it MUST also appear in the LCM of the numbers.
If the HCF of some numbers is 15, then: 15 = 3 × 5 which means that the primes 3 and 5 MUST both apear in the LCM.
But 175 = 5² × 7, which does NOT include 3, so 175 CANNOT be the LCM of some numbers which have a HCF of 15.
Still curious? Ask our experts.
Chat with our AI personalities
Devin
Rafa
LaoAdd your answer:
Earn +20 pts
Which 2 nos have same LCM and HCF?
Any two of the same number. The GCF and LCM of 10 and 10 is 10.
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.
What is the highest common factor of 14 36 175?
Oh, dude, you're hitting me with some math vibes here! The highest common factor of 14, 36, and 175 is like the cool kid at the party - it's the biggest number that can divide all of them without any leftovers. So, the HCF of these numbers is 1 because they don't have any common factors other than 1. Math can be chill too, you know?
What is the HCF and LCM of 36 and 75?
To find the HCF you first have to write the numbers as their prime factors: 36 = 2x2x3x3 75 = 3x5x5 The next step is to identify any common prime factors. In this case both numbers have 3 as a prime factor. Thus the HCF is 3. To find the LCM you need to multiply the numbers together and divide by the HCF. 36x75/3 = 900 Thus the LCM of 36 and 75 is 900.
What is the HCF and LCM of 63 and 21?
First you need to break the numbers into their prime factors. In this case we get: 63 = 3x3x7 21 = 3x7 The next step is to identify any common prime factors. In this case both have a 3 and a 7 as prime factors. Multiply these together and you get 3x7 = 21. This is the HCF. To find the LCM you just multiply the numbers together and divide by the HCF. 63x21/21 = 63 Thus 63 is the LCM.
