Question

9.Find the smallest six digit number exactly divisible by 15,24,36​

Answer 1

Answer:

HERE YOUR ANSWER

Step-by-step explanation:

• Least common multiple of  15(=3×5),24(=23×3),36(=22×32)  is the combination of all the biggest prime factor powers:  23×32×5=360 .
• 360  is the smallest number exactly divisible by  15 ,  24  and  36 .
• The smallest 6-digit multiple of  360  is  360×⌈100,000360⌉=360×278=100,080  
• Further explanation:
• 100,000  is the smallest possible 6-digit number
• 278  is the upper integer part of  100,000360  and hence the first integer  k such that  360×k≥100,000,  hence the smallest 6-digit multiple of  360

Answer 2

Answer:

999720

Step-by-step explanation:

We will find out the LCM of 24,15 and 36 is 360.  

Now, greatest 6-digit number is 999999.  

Now, We will divide this number by LCM of 24,15 and 36, we will get,

999999/360 will get remainder 279.  

Now 999999 – 279 = 999720.  

Now we will check it out for the numbers we will get,  

999720/24 = 41655  

999720/15 = 66648  

999720/36 = 27770  

∴ 999720 is the greatest number 6-digit number divisible by 24,15 and 36.