Math, asked by victi903, 1 year ago

Lcm type question by finding lcm and solving

Answers

Answered by Talentedhero74
0
Find the lowest common multiple of 5 and 15. 
Solution 
The prime factorization of 5 and 15 are: 
5 = 5 
15 = 3 × 5 
The LCM is given by product of all prime number in the prime factorization with the highest power. Hence 
LCM of 5 and 15 = 5 1 × 3 1 = 15

Find the lowest common multiple of 8, 12 and 18. 
Solution 
The prime factorization of 8, 12 and 18 are: 
8 = 2 × 2 × 2 = 2 3 
12 = 2 × 2 × 3 = 2 2 × 3 
18 = 2 × 3 × 3 = 2 × 3 2 
The LCM is given by product of all prime number in the prime factorization with the highest power. 
LCM of 8, 12 and 18 = 2 3 × 3 2 = 72

Find the lowest common multiple of 70 and 90. 
Solution 
The prime factorization of 70 and 90 are: 
70 = 2 × 5 × 7 = 2 × 5 × 7 
90 = 2 × 3 × 3 × 5 = 2 × 3 2 × 5 
The LCM is given by product of all prime number in the prime factorization with the highest power. 
LCM of 70 and 90 = 2 × 5 × 7× 3 2 = 630

Find the lowest common multiple of 5 and 15.
Solution
The prime factorization of 5 and 15 are:
5 = 5
15 = 3 × 5
The LCM is given by product of all prime number in the prime factorization with the highest power. Hence
LCM of 5 and 15 = 5 1 × 3 1 = 15
Find the lowest common multiple of 8, 12 and 18.
Solution
The prime factorization of 8, 12 and 18 are:
8 = 2 × 2 × 2 = 2 3
12 = 2 × 2 × 3 = 2 2 × 3
18 = 2 × 3 × 3 = 2 × 3 2
The LCM is given by product of all prime number in the prime factorization with the highest power.
LCM of 8, 12 and 18 = 2 3 × 3 2 = 72
Find the lowest common multiple of 70 and 90.
Solution
The prime factorization of 70 and 90 are:
70 = 2 × 5 × 7 = 2 × 5 × 7
90 = 2 × 3 × 3 × 5 = 2 × 3 2 × 5
The LCM is given by product of all prime number in the prime factorization with the highest power.
LCM of 70 and 90 = 2 × 5 × 7× 3 2 = 630
Answered by mahanjay77
0

Find the lowest common multiple of 5 and 15.  

Solution  

The prime factorization of 5 and 15 are:  

5 = 5  

15 = 3 × 5  

The LCM is given by product of all prime number in the prime factorization with the highest power. Hence  

LCM of 5 and 15 = 5 1 × 3 1 = 15

Find the lowest common multiple of 8, 12 and 18.  

Solution  

The prime factorization of 8, 12 and 18 are:  

8 = 2 × 2 × 2 = 2 3  

12 = 2 × 2 × 3 = 2 2 × 3  

18 = 2 × 3 × 3 = 2 × 3 2  

The LCM is given by product of all prime number in the prime factorization with the highest power.  

LCM of 8, 12 and 18 = 2 3 × 3 2 = 72

Find the lowest common multiple of 70 and 90.  

Solution  

The prime factorization of 70 and 90 are:  

70 = 2 × 5 × 7 = 2 × 5 × 7  

90 = 2 × 3 × 3 × 5 = 2 × 3 2 × 5  

The LCM is given by product of all prime number in the prime factorization with the highest power.  

LCM of 70 and 90 = 2 × 5 × 7× 3 2 = 630

Find the lowest common multiple of 5 and 15.

Solution

The prime factorization of 5 and 15 are:

5 = 5

15 = 3 × 5

The LCM is given by product of all prime number in the prime factorization with the highest power. Hence

LCM of 5 and 15 = 5 1 × 3 1 = 15

Find the lowest common multiple of 8, 12 and 18.

Solution

The prime factorization of 8, 12 and 18 are:

8 = 2 × 2 × 2 = 2 3

12 = 2 × 2 × 3 = 2 2 × 3

18 = 2 × 3 × 3 = 2 × 3 2

The LCM is given by product of all prime number in the prime factorization with the highest power.

LCM of 8, 12 and 18 = 2 3 × 3 2 = 72

Find the lowest common multiple of 70 and 90.

Solution

The prime factorization of 70 and 90 are:

70 = 2 × 5 × 7 = 2 × 5 × 7

90 = 2 × 3 × 3 × 5 = 2 × 3 2 × 5

The LCM is given by product of all prime number in the prime factorization with the highest power.

LCM of 70 and 90 = 2 × 5 × 7× 3 2 = 630

Similar questions