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# Find the least number which when divided by 7 gives the reminder 6 when divided by 6 gives reminder 5 when divided by 5 gives reminder 4 and so on?

Updated: 4/28/2022 Wiki User

12y ago

419

Nachiket Joshi

solution:

LCM(7,6,5,4,3,2)=420

TRICK: Since the diff between the remainder and dividend is common(1 in this case ) u subtract 1 from the LCM Wiki User

12y ago   Earn +20 pts
Q: Find the least number which when divided by 7 gives the reminder 6 when divided by 6 gives reminder 5 when divided by 5 gives reminder 4 and so on?
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### What is the least number which when divided by 52 leaves 33 as the reminder and when divided by 78 leaves 59 and when divided by 117 leaves 98 as the respective reminder then what is the number?

449 is the smallest number that satisfies those requirements.

### What is the number divided by 2 3 4 5 6 gives reminder 1 and remainder 0 if it divided by 7?

The numbers divided by 5 gives 1 remainder means it should end either 1 or 6. But in case of number ends with 6 will be divided by 2. So only number ending with 1 have to consider. Also the number should be divisble by 7. So when number ending with 3 is multiplied by 7 will give result of number ending 1. So, possibilities are 7*3, 7*13, 7*23, etc In that least number which solves this problem 7*43 = 301. So the least possible number is 301.

### The smallest number that can be divided by two or more different denominators?

The smallest number that can be divided by two or more different denominator is 2. It can be divided by itself and 1.

### Can 419 be divided?

Yes it can . . . at least by itself and by the number, 'one'.

45

### What is the least prime number greater than 25 that will have a remainder of 2 when divided by 25?

127 is the least prime number greater than 25 that will have a remainder of 2 when divided by 25.

### What is the LCM of 365480?

LCM stands for least common multiple.This means the smallest number that can be divided by each of two given operands.Since the question only gives one operand it can not be answered.