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

Divide $50$ into two parts so that the sum of their reciprocals is $1/12$.

Which fraction among $\frac{3}{7}, \frac{5}{11}$,and $\frac{6}{13}$ is the largest?

For what value of $M$,is $34M$ divisible by $12$?

$(0.88 \times 880 \div 8) \times 6 = ?$

The sum of three numbers is $2$. The $1^{\text{st}}$ number is $\frac{1}{2}$ times the $2^{\text{nd}}$ number and the $3^{\text{rd}}$ number is $\frac{1}{4}$ times the $2^{\text{nd}}$ number. The $2^{\text{nd}}$ number is

Vedclass Test Series

Exam Paper Generator

Online Exam Module