The least number which when divided by 6,7, 8, 9, and 12 leaves the remainder 1 is ____

Question

The least number which when divided by 6,7, 8, 9, and 12 leaves the remainder 1 is ____

Accepted Answer

Concept- That number is 505. First, let's say the value is x. Then, take the LCM of all the numbers and get the product of each prime factor to the highest power of each number. The remaining 1 has been supplied to us after that. 1 more should be added to the LCM. You will receive the number, which is x.
Have you watched any episodes of Fear Factor? For the chance to win the big prize of

$ 50000

, competitors had to endure a range of terrifying feats. Evidently, fear is not a concern for you, the host would exclaim to the winner at the conclusion of the show. What does that exactly mean? That indicates that they do not let fear influence their choices or actions. Therefore, something that influences a result is a "factor." The numbers that multiply to produce another number are known as factors in mathematics.The sum of all prime numbers that add up to the original number is known as the prime factorization of that integer. If we didn't first brush up on prime numbers, performing prime factorization would be pretty challenging. In light of the foregoing, a prime number is one that can only be divided by itself and by one.
The sum of the prime factors that make up a given number is known as the prime factorization of that integer.
Therefore, putting the prime numbers that will multiply together to create a new number as a multiplication problem is known as prime factorization.
The sum of primes that could be multiplied together to create the original number is known as a prime factorization. There are two possible methods for obtaining the prime number list.
The sum of primes that could be multiplied together to create the original number is known as a prime factorization. A factor tree and upside-down division are two approaches that could be used to obtain the list of the primes.
A prime number is typically expressed in exponential form to make it appear more compact when it appears more than once in the factorization.
When a number is split by

6, 7, 8, 9, and 12,

it leaves a leftover of 1 for us to work with.
Let be

x

be the number.
Here, we must take the LCM of the supplied integers, or the product of each prime component to the highest power, and add 1, in order to determine x.
Take each number's highest power's product of all the prime factors now.
Prime factorization of 6=2×3,