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### Grade 8 - Mathematics5.8 Relation between L.C.M. and G.C.D.

 The Product of the numbers = The product of L.C.M. and G.C.D.

Example:
The L.C.M. and G.C.D. of two numbers 144 and 4 respectively. If one of the numbers 36. Find the second number.

Solution:
Let the second number be x.
We know that,
The Product or the numbers = The product of L.C.M. and G.C.D.
36 * x = 144 * 4
x = (144*4)/36
x = 16
Therefore, the second number is 16.

Directions: Solve the following problems. Also write at least five examples of your own.
 Q 1: The L.C.M. of 72 and 60 is 360. Find G.C.D.121814 Q 2: The G.C.D. of 324 and360 is 36. Find their L.C.M.358034603240 Q 3: The L.C.M. of 620 and 868 is 4,340. Find G.C.D.168124146 Q 4: The L.C.M. and G.C.D. of two numbers 120 and 72 respectively. If one of the numbers 24. Find the second number.363024 Q 5: The G.C.D. of 940 and 1128 is 188. Find L.C.M.486056405760 Q 6: The L.C.M. of 1236 and 1632 is 168,096. Find G.C.D.122416 Question 7: This question is available to subscribers only! Question 8: This question is available to subscribers only!

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