Find the least number of six digits which is | vedclass

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

Question

(C) First,find the $L.C.M.$ of $15, 21$ and $28$.$15 = 3 	imes 5$$21 = 3 	imes 7$$28 = 2^2 	imes 7$$L.C.M. = 2^2 	imes 3 	imes 5 	imes 7 = 4 	i

Vedclass · Accepted Answer

$100380$

Vedclass · Answer

(C) First,find the $L.C.M.$ of $15, 21$ and $28$.$15 = 3 	imes 5$$21 = 3 	imes 7$$28 = 2^2 	imes 7$$L.C.M. = 2^2 	imes 3 	imes 5 	imes 7 = 4 	imes 3 	imes 5 	imes 7 = 420$.The smallest $6$-digit number is $100000$.Divide $100000$ by $420$ to find the remainder:$100000 \div 420 = 238$ with a remainder of $40$.To find the least $6$-digit number exactly divisible by $420$,we add the difference between the divisor and the remainder to the smallest $6$-digit number:Required number $= 100000 + (420 - 40) = 100000 + 380 = 100380$.

Find the least number of six digits which is exactly divisible by $15, 21$ and $28$.

Similar Questions

Find the greatest number which will divide $2112$ and $2792$ leaving the remainder $4$ in each case.

Find the greatest number of five digits which becomes exactly divisible by $10, 12, 15$ and $18$ when $3769$ is added to it.

The $L.C.M.$ of two numbers is $120$ and their $H.C.F.$ is $10.$ Which of the following can be the sum of those two numbers?

The areas of three fields are $165 \ m^2$,$195 \ m^2$,and $85 \ m^2$ respectively. In each of the fields,a flower bed of equal length has to be made. If the flower bed in each of the fields is $3 \ m$ wide,then what is the maximum length of the flower bed in each of the fields? (in $m$)

Find the least number of five digits which when divided by $8, 12, 16$ and $20$ leaves remainders $1, 5, 9$ and $13$ respectively.

Vedclass Test Series

Exam Paper Generator

Online Exam Module