Question

a garndener wants to plant tress in a garden if the number of trees in each row in the same and there are 35 or 14 or 21 rows then no tree is left find the least number of tree the plants has​

Answer 1

Step-by-step explanation:

This is the question based on LCM and HCF where least is for LCM

Although the question is incorrectly posted or its not in the perfect form still three numbers are 14, 21 and 35

So to find least no of trees the garden have (not trees) find LCM of these 3 values

Answer 2

The least number of trees the gardener has is 210.

Step-by-step explanation:

There are no trees left when he is planting 35 or 14 or 21 trees.

Hence, we can find the LCM of these three numbers.

• Numbers are: $35, 14, 21$
• First dividing by 2: $35, 7, 21$
• Then dividing by 3: $35, 7, 7$
• Then dividing by 5: $7, 7, 7$
• Finally dividing by 7: $1,1,1$

Hence, LCM $= 2\times 3\times 5\times 7 = 210$

So, there should be 210 trees.

• If 35 trees are planted in each row, there would be 6 such rows and no trees would be left.
• If 21 trees are planted in each row, there would be 10 such rows and no trees would be left.
• If 14 trees are planted in each row, there would be 15 such rows and no trees would be left.