Find the Hcf and LCM at the following
pairs of mimbers hy prime factoring method
(1) 25 and 120
Answers
Answer:
HCF = 5 , LCM = 600
Step-by-step explanation:
HCF:
The factors of 25 are: 1, 5, 25
The factors of 120 are: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Then the greatest common factor is 5.
LCM:
Prime Factorization of 25 is:
5 x 5 => 52
Prime Factorization of 120 is:
2 x 2 x 2 x 3 x 5 => 23 x 31 x 51
For each prime factor, find where it occurs most often as a factor and write it that many times in a new list.
The new superset list is
2, 2, 2, 3, 5, 5
Multiply these factors together to find the LCM.
LCM = 2 x 2 x 2 x 3 x 5 x 5 = 600
In exponential form:
LCM = 23 x 31 x 52 = 600
LCM = 600
Therefore,
LCM(25, 120) = 600
Answer:
P. F 25 is 5 x 5
P. F 120 is 2 x 2 x 2 x 3 x 5
common factors.. 5
H. C. F. is 5
other factors... 2 x 2 x 2 x 3 x 5
L. C. M. is C. F x Other factors
5 x 2 x 2 x 2 x 3 x 5
600