step by step lcm of 13,9,15,7,15
Answers
Answer:
LCM=3×3×5×7×13
=4015
Step-by-step explanation:
Refer to the given attachment
Answer: Least common multiple (LCM)
Step-by-step explanation:
The methods to find the LCM are :-
- By Division Method
- By Listing Multiples
- By Prime Factorization Method
List all prime factors for each number.
Prime Factorization of 7 shows:
7 is prime => 71
Prime Factorization of 9 is:
3 x 3 => 32
Prime Factorization of 13 shows:
13 is prime => 131
Prime Factorization of 15 is:
3 x 5 => 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
3, 3, 5, 7, 13
Multiply these factors together to find the LCM.
LCM = 3 x 3 x 5 x 7 x 13 = 4095
In exponential form:
LCM = 32 x 51 x 71 x 131 = 4095
LCM = 4095
Therefore,
LCM(7, 9, 13, 15) = 4095