Lcm type question by finding lcm and solving
Answers
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
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