write the second and the fourth common multiple of 7 and 9.
Answers
Answer:
Step 1: List a few multiples of 7 (7, 14, 21, 28, 35, 42, . . . ) and 9 (9, 18, 27, 36, 45, . . . . ) Step 2: The common multiples from the multiples of 7 and 9 are 63, 126, . . . Step 3: The smallest common multiple of 7 and 9 is 63.
Given: Numbers 7 and 9
To find: Second and fourth common multiple of 7 and 9
Solution: According to the given problem,
We need to find the 2nd and 4th common multiple of 7 and 9
Steps to be followed:
Step 1: Calculate the L.C.M. of 7 and 9 i.e. the least common multiple of 7 and 9.
Using factor method:
7 = 7 x 1
9 = 3 x 3 x 1
L.C.M. of 7 and 9 = 7 x 3 x 3 = 63
So, the least common multiple of 7 and 9 is 63.
Other common multiples of 7 and 9 would be multiple of their L.C.M i.e. 63
Step 2: Find 2nd and 4th multiple of 63
2nd multiple of 63 = 2 x 63 = 126
4th multiple of 63 = 4 x 63 = 252
Therefore, 2nd and 4th common multiple of 7 and 9 are 126 and 252 respectively.