Question

find the least number of four digits which is exactly divisible by 14,21,18 .
explain please ​

Answer 1

Answer:

Step-by-step explanation:

The tool to find answers to problems like this prime factorization. Let’s look at the prime factors of each of the given numbers:

14 = 2 * 7

21 = 3* 7

18 = 2 * 3* 3

LCM is 3*3*2*7 =  126.

now every number divisible by 14 , 21 and 18 will be Multiple of 126.

now we divide 1000 ( least 4 digit number) by 126 we get quotient 7 and remainder 118.

to find least digit you have to cover up the remainder by adding 126 -118 = 08 to 1000.

therefore your number is 1008