Question

Find the HCF & LCM of 25, 40, 75 by prime factorisation method

Answer 1

Answer:

Hence, LCM of given number is 600 while value of HCF is 5

Step-by-step explanation:

In context to question asked,

We have to determine the LCM and HCF of 25, 40 and 75

As per question,

We have to determine the LCM and HCF of given number by using the method of prime factorisation.

As we know that,

In prime factorisation method we usually write the given number in form of prime numbers.

LCM is nothing but the least common multiple number of given numbers, while HCF is that particular highest number which is common factor of given number.

So, converting the given number in form of prime factorisation,

We will get,

$25 = 5 \times 5\\40= 2\times 2 \times 2 \times 5\\75 = 5 \times 5 \times 3\\=>HCF = 5 (Common\:numbers)\\LCM = 5 \times 5 \times 3 \times 2 \times 2 \times 2\\=>LCM = 600$

Answer 2

Answer:

LCM is 600

Step-by-step explanation:

answer is in pic...