Question

how to fine lcm,hcf,factor tree method

Answer 1

Answer:

HCF: (Highest Common Factor)The Highest Common Factor of two (or more) numbers is the largest number that divides evenly into both numbers. 

In other words the H.C.F is the largest of all the common factors.

Example:Find the Highest Common Factor (H.C.F.) of 240 and 924.

Solution:

Find all of the prime factors of 240, and then 924:               KEY:  RED = Prime Factors

                                                                                    

                 240                                     924           

               120           2                     462               2

           60       2                        231       3     

       30     2                        77        3

    15    2                        11      7

  5   3

     

240 = 2 x 2 x 2 x 2 x 3 x 5                924= 2 x 2 x 3 x 7 x 11

 Multiply the factors which repeat in both numbers to get the Highest Common Factor: 

 (2 and 2 and 3)

            The Highest Common Factor is 2 x 2 x 3 = 12

            HCF = 12

LCM: (Lowest Common Multiple) The Lowest Common multiple is the is the smallest number that is a common multiple of two or more numbers.

Example: Find the Lowest Common Multiple (L.C.M.) of 240 and 924.

Solution:

From the example of finding the H.C.F. we know the prime factors of both numbers.

924 = 2 x 2 x 3 x 7 x 11 

240 = 2 x 2 x 2 x 2 x 3 x 5  

The L.C.M. is 2 x 2 x 3 x 7 x 11 x 2 x 2 x 5 = 924 x 20 = 18,480 

LCM = 18'480

Explanation:

pls follow me and thanks also