Question

Find the least number which when divide by 8,14,20,25 and leaves 4 as remainder in each case​

Answer 1

I don't know about 8 but

of 14 is 2 because 2×5 =10 and 14 -10 =4

of 20 is 8 because 8×2=16and 20-16=4

of 25 is 3

Answer 2

The least number which when divide by 8,14,20,25 and leaves 4 as remainder in each case is 1404.

Step-by-step explanation:

To find : The least number which when divide by 8,14,20,25 and leaves 4 as remainder in each case?  

Solution :  

We find the LCM of 8,14,20,25,

2 | 8  14  20  25

2 | 4   7   10  25

2 | 2   7    5   25

5 |  1    7    5   25

5 |  1    7    1    5

7 |  1    7    1    1

  | 1      1    1      1

$LCM(8,14,20,25)=2\times 2\times 2\times 5\times 5\times 7$  

$LCM(9,13)=1400$  

In each case it leaves a remainder 4 so we add 4 in the LCM of the numbers.

i.e. 1400+4=1404.

Therefore, The least number which when divide by 8,14,20,25 and leaves 4 as remainder in each case is 1404.

#Learn more

Find the least number which when divided / 234567 leaves remainder 123450 Find the least number which when divided by 234567 leaves remainder 123450 respectively

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