Question

Find the least number which when divided by 18,24,32 leaves a reminder 4,10 and 18 .

Answer 1

Answer:

14

Step-by-step explanation:

18 ÷ 14 reminder 4

24 ÷14 reminder 10

32 ÷ 14 reminder 18

I think this will help you

Answer 2

$\bf{\underline{Question:-}}$

Find the least number which when divided by 18,24,32 leaves a reminder 4,10 and 18 .

$\bf{\underline{Given:-}}$

• when 18 , 24 , 32 are divided then leaves a remainder 4 , 10 , 18

$\bf{\underline{Find:-}}$

• The least number = ?

$\bf{\underline{Solution:-}}$

⏩ Taking L.C.M of 18 , 24 , 32

2 | 18

3 | 9

3 | 3

| 1

________________

2 | 24

2 | 12

2 | 6

3 | 3

| 1

________________

2 | 32

2 | 16

2 | 8

2 | 4

2 | 2

| 1

• L.C.M of 18, 24 , 32 = 288

• $\sf\large \frac{18 , 24 , 12 }{2} , \frac{9,12,16}{3} , \frac{3,4,16}{4} = 3 , 1 , 4$

$\bf{\underline{Hence:-}}$

• Required Number = 288 - 14
• Required Number = 274