The greatest 4-digit number exactly divisible | vedclass

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

Question

(B) Step $1$: Find the $L.C.M.$ of $10, 15$ and $20$.$10 = 2 	imes 5$$15 = 3 	imes 5$$20 = 2^2 	imes 5$$L.C.M. = 2^2 	imes 3 	imes 5 = 60$.Step $

Vedclass · Accepted Answer

$9960$

Vedclass · Answer

(B) Step $1$: Find the $L.C.M.$ of $10, 15$ and $20$.$10 = 2 	imes 5$$15 = 3 	imes 5$$20 = 2^2 	imes 5$$L.C.M. = 2^2 	imes 3 	imes 5 = 60$.Step $2$: Identify the greatest $4-$digit number,which is $9999$.Step $3$: Divide $9999$ by $60$ to find the remainder.$9999 \div 60 = 166$ with a remainder of $39$.Step $4$: Subtract the remainder from the greatest $4-$digit number to get the largest number divisible by $60$.$9999 - 39 = 9960$.Therefore,the greatest $4-$digit number exactly divisible by $10, 15$ and $20$ is $9960$.

The greatest $4-$digit number exactly divisible by $10, 15$ and $20$ is

Similar Questions

The $HCF$ and $LCM$ of two numbers are $11$ and $385$ respectively. If one number lies between $75$ and $125,$ then that number is

What is the smallest number which when increased by $3$ is divisible by $16, 24, 30$ and $32$?

Amit,Sucheta,and Neeti start running around a circular track and complete one round in $18 \text{ seconds}$,$24 \text{ seconds}$,and $32 \text{ seconds}$,respectively. In how many seconds will the three meet again at the starting point if they all started running at the same time?

Find the two largest numbers of four digits having $531$ as their $H.C.F$.

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