What will be the least number which when doub | vedclass

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

Question

(B) To find the least number which when doubled is divisible by $12, 18, 21$ and $30$,we first find the Least Common Multiple $(LCM)$ of these numbers

Vedclass · Accepted Answer

$630$

Vedclass · Answer

(B) To find the least number which when doubled is divisible by $12, 18, 21$ and $30$,we first find the Least Common Multiple $(LCM)$ of these numbers.$LCM$ of $12, 18, 21, 30$:$2$$12, 18, 21, 30$$3$$6, 9, 21, 15$$2, 3, 7, 5$$LCM = 2 	imes 3 	imes 2 	imes 3 	imes 7 	imes 5 = 1260$.Let the required number be $x$. According to the problem,$2x$ must be divisible by $1260$.Therefore,$2x = 1260$.$x = \frac{1260}{2} = 630$.Thus,the required number is $630$.

What will be the least number which when doubled will be exactly divisible by $12, 18, 21$ and $30$?

Similar Questions

The product of two numbers is $6760$ and their $H.C.F.$ is $13.$ How many such pairs can be formed?

What is the least value that should be added to $1812$ to make it divisible by $7, 11,$ and $14$?

The traffic lights at three different road crossings change after every $48\, seconds,$ $72\, seconds$ and $108\, seconds,$ respectively. If they all change simultaneously at $8: 20: 00$ $hours,$ then they will again change simultaneously at

The least multiple of $7,$ which leaves a remainder of $4,$ when divided by $6, 9, 15,$ and $18$ is

Two numbers,both greater than $29$,have $HCF$ $29$ and $LCM$ $4147$. The sum of the numbers is

Vedclass Test Series

Exam Paper Generator

Online Exam Module