Find the greatest number of five digits which | vedclass

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

Question

(D) First,find the $L.C.M.$ of the divisors $4, 6, 10,$ and $15$.Prime factorization: $4 = 2^2, 6 = 2 	imes 3, 10 = 2 	imes 5, 15 = 3 	imes 5$.$L.C

Vedclass · Accepted Answer

$99963$

Vedclass · Answer

(D) First,find the $L.C.M.$ of the divisors $4, 6, 10,$ and $15$.Prime factorization: $4 = 2^2, 6 = 2 	imes 3, 10 = 2 	imes 5, 15 = 3 	imes 5$.$L.C.M. = 2^2 	imes 3 	imes 5 = 4 	imes 3 	imes 5 = 60$.The greatest five-digit number is $99999$.Divide $99999$ by $60$ to find the remainder: $99999 \div 60 = 1666$ with a remainder of $39$.Subtract the remainder from the greatest five-digit number to find the largest number divisible by $60$: $99999 - 39 = 99960$.To leave a remainder of $3$ in each case,add $3$ to this number: $99960 + 3 = 99963$.

Find the greatest number of five digits which when divided by $4, 6, 10$ and $15$ leaves the same remainder $3$ in each case.

Similar Questions

Find the greatest number of four digits which when divided by $10, 15, 21$ and $28$ leaves $4, 9, 15$ and $22$ as remainders,respectively.

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 greatest number that will divide $964, 1238$ and $1400$ leaving remainders $41, 31$ and $51$ respectively.

What is the $H.C.F.$ of $\frac{4}{9}, \frac{10}{21}$ and $\frac{20}{63}$?

Find the greatest number of $4$ digits and the least number of $5$ digits that have $196$ as their $HCF$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module