Question

What is the least amount that a person can have , such that when he distributed it into groups of rs. 16 or rs. 18 or rs. 20 or rs. 25 he is always left with rs .4?

Answer 1

LCM of 16,18,20,25=3600

3600+4=3604

Total amount =RS 3604

Answer 2

Answer:

Rs.3604

Step-by-step explanation:

We are supposed to find he least amount that a person can have , such that when he distributed it into groups of rs. 16 or rs. 18 or rs. 20 or rs. 25 he is always left with rs .4?

First find the LCM of 16,18,20,25

2 | 16 ,18 ,20,25

2 | 8,9,10,25

2 | 4,9 ,5,25

2 | 2 , 9, 5, 25

5 |  1 , 9 ,1,25

5 |  1,9,1,5

3 | 1,9,1,1

3 |  1,3,1,1

 |1,1,1,1

LCM = $2\cdot2\cdot2\cdot2\cdot3\cdot3\cdot5\cdot5 = 3600$

He is always left with rs .4

So, The least amount that a person can have = Rs.3600+Rs.4 =Rs.3604

Hence The least amount that a person can have is Rs.3604