The least number which when divided by 6, 9, | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) To find the least number that leaves a remainder of $2$ when divided by $6, 9, 12, 15,$ and $18$,we first find the Least Common Multiple $(LCM)$ o

Vedclass · Accepted Answer

$182$

Vedclass · Answer

(B) To find the least number that leaves a remainder of $2$ when divided by $6, 9, 12, 15,$ and $18$,we first find the Least Common Multiple $(LCM)$ of these numbers.Prime factorization:$6 = 2 	imes 3$$9 = 3^2$$12 = 2^2 	imes 3$$15 = 3 	imes 5$$18 = 2 	imes 3^2$$LCM = 2^2 	imes 3^2 	imes 5 = 4 	imes 9 	imes 5 = 180$.Since the number must leave a remainder of $2$ in each case,we add the remainder to the $LCM$.Required number $= LCM + 2 = 180 + 2 = 182$.

The least number which when divided by $6, 9, 12, 15, 18$ leaves the same remainder $2$ in each case is

Similar Questions

The sum of five consecutive even numbers of set-$A$ is $220$. What is the sum of a different set of five consecutive numbers whose second lowest number is $37$ less than double the lowest number of set-$A$?

Which fraction among $\frac{2}{3}$,$\frac{4}{5}$,and $\frac{7}{11}$ is the largest?

Which of the following sequences is in descending order of their values?

What is the least value of $K$ so that the number $6735K1$ is divisible by $9$?

$A$ number,when divided by $296$,gives $75$ as the remainder. If the same number is divided by $37$,then the remainder will be:

Vedclass Test Series

Exam Paper Generator

Online Exam Module