The least multiple of 7 which leaves a remainder of 4

Given : The least multiple of 7, which leaves a remainder of 4, when divided by 6, 9, 15, and 18, Calculation: L.C.M. of 6, 9, 15 and 18 =90 Let the required number be 90k + 4, which is a multiple of 7 The least value of k for which (90k + 4) is divisible by 7 is k = 4 Required number = (90× 4) + 4 ⇒ 364 ∴ The required number is 364

Step 1/2 First, we need to find a multiple of 7. We can start by multiplying 7 by different integers until we find one that leaves a remainder of 4 when divided by 7. 7 x 1 = 7 (remainder 0) 7 x 2 = 14 (remainder 0) 7 x 3 = 21 (remainder 0) 7 x 4 = 28 (remainder 0) 7 x 5 = 35 (remainder 0) 7 x 6 = 42 (remainder 0) 7 x 7 = 49 (remainder 0) 7 x 8 = 56 (remainder 0) 7 x 9 = 63 (remainder 0) 7 x 10 = 70 (remainder 0) 7 x 11 = 77 (remainder 0) 7 x 12 = 84 (remainder 0) 7 x 13 = 91 (remainder 0) 7 x 14 = 98 (remainder 0) 7 x 15 = 105 (remainder 0) 7 x 16 = 112 (remainder 0) 7 x 17 = 119 (remainder 0) 7 x 18 = 126 (remainder 0) 7 x 19 = 133 (remainder 0) 7 x 20 = 140 (remainder 0) None of these multiples of 7 leave a remainder of 4 when divided by 7.

The correct option is D 364 LCM of 6, 9 and 15 = 90 6 = 2 × 3 9 = 3 × 3 15 = 3 × 5 LCM = 2 × 3 × 3 × 5 = 90 Out of the given options, only 364 is divisible by 7. 364 ÷ 7 = 52 Now, 364 ÷ 90 leaves the remainder 4. Thus, 364 is the least multiple of 7 which leaves a remainder of 4, when divided by 6, 9 and 15.

Table of Contents • • • • • • What is the smallest number that leaves a remainder of 4? Answers and Solutions Question: Find the smallest number that leaves a remainder of 4 on division by 5, 5 on division by 6, 6 on division by 7, 7 on division by 8 and 8 on division by 9? Answer: LCM (5, 6, 7, 8, 9) – 1 = 2519. What is the smallest number which leaves remainder 4 when divided by any of the numbers 5 6 or 8 but leaves no remainder when it is divided by 4? 124 is the smallest number when divided by 5,6,8 leaves 4 and when divided by 4 leaves nothing. What can be the possible remainder on dividing a number by 4? Possible remainders when a number is divided by 4 are 0 , 1 , 2 , 3. State Euclid division lemma. Which is the smallest number that leaves a remainder of 4 each when divided by 9 15 and 18? The least multiple of 7, which leaves a remainder of 4, when divided by 6, 9, 15 and 18 is: [A]. Explanation: L.C.M. of 6, 9, 15 and 18 is 90. What is the smallest no that leaves remainder of 4 on division by 5? The correct option is A) 2519. What is the smallest number that leaves a remainder of 4 on division by 5 5 on division by 6 6 on division by 7 and 7 on division by 8? = 2519. Hence, the correct option is (C). What is the smallest number which leaves remainder 3 when? the answer to this question is 843. What is the smallest number which has remainder 3 when divided by 5 7 and 8? Hence 1683 is the least number which when divided by 5, 6, 7 and 8 leaves a remainder 3, but wh...

The least multiple of 7, which leaves a remainder of 4, when divided by 6,9, 15 and 18 is : Options - 364 - 374 - 362 - 382 CORRECT ANSWER : 364 Discussion Board lcm 364%7=0 manjoor 08-9-2020 02:23 AM LCM This question can be solved using the formula; n×LCM(6,9,15,18)+4(Remainder) LCM of (6,9,15,18) is 90 Hence, taking various value of n for hit and try method we can get the answer. 4×90+4= 364 Hence, option (a)364 is the correct answer. Ahtesham Ur Rehman Niazi 05-14-2020 07:54 PM L.C.M How to solve it POTHUGANTI SHARATH GOUD 04-9-2020 03:53 AM L.C.M How to solve it POTHUGANTI SHARATH GOUD 04-9-2020 03:52 AM L.C.M How to solve it POTHUGANTI SHARATH GOUD 04-9-2020 03:52 AM L.C.M How to solve it POTHUGANTI SHARATH GOUD 04-9-2020 03:50 AM Hcf Good Jacky 11-1-2018 09:35 AM Hcf Good Jacky 11-1-2018 09:34 AM