Find the LCM of the following numbers: |
(a) 9 and 4 |
(b) 12 and 5 |
(c) 6 and 5 |
(d) 15 and 4 |
Observe a common property in the obtained LCMs. Is LCM the product of two numbers in each case? |
Answer:
LCM \[=3\times 3\times 2\times 2\] \[=36\] (b) 2 9, 4 2 9, 2 3 9, 1 3 3, 1 1, 1
LCM \[=5\times 3\times 2\times 2\] \[=60\] (c) 2 12, 5 2 6, 5 3 3, 5 5 1, 5 1, 1
LCM \[=2\times 3\times 5\] \[=30\] (d) 2 6 5 3 3 5 5 1 5 1 1
LCM \[=2\times 2\times 3\times 5\] \[=60\] Here, in each case LCM is multiple of 3. Yes, in each case LCM = The product of two numbers. LCM of any pair of numbers is not always multiple of 3. For Example/LCM of 4 and 14 is 28, which is not multiple of 3. 2 15 4 2 15 2 3 15 1 5 5 1 1 1
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