Since 2300 is the multiple of 56 therefore the least common multiple of 56 and 100 is 2300.
What is perfect cube?
A perfect cube is an integer that is equal to some other integer raised to the third power. We refer to raising a number to the third power as cubing the number. For example, 125 is a perfect cube because .
What is not a perfect cube?
Cubes and Cube Roots | Exercise 7.1 ∴ 128 is not a perfect cube. Hence, 1000 is cube of 10. Here, 100 cannot be grouped into triplets of equal factors. ∴ 100 is not a perfect cube.
Which is the least number that should be multiplied by 54 to get a perfect cube?
Hence, there is NO “least number” that can be multiplied by 54 to get a perfect cube. Which is the least number that should be multiplied by 54 to get a perfect cube? The least non-negative number that should be multiplied by 54 to get a perfect cube would be zero.
When is a number said to be a perfect cube?
If the power of all the Prime factors is in the multiple of 3, then the number is said to be a Perfect cube. From the above examples we can observe that each prime factor of a number appears three times in the prime factorization of its cube. Illustration 2: Is the number 600 a perfect cube?
Which is the perfect cube of 3 and 5?
The factor 2 occurs thrice, 3 and 5 occurs only once. So in order to make it a perfect cube we have to multiply 120 with a square of 3 and 5. Therefore, 120 × 3 × 3 × 5 × 5 =27000. The number 27000 is the required perfect cube. Application of Perfect Cube. A cube is a three-dimensional figure which has all the edges of equal length.
Is the number 600 a perfect cube of numbers?
Let us write down, stating the prime factors of the number 600. The number 600 is not a perfect cube as all the prime factors is not a multiple of three. Question 2: What should be multiplied to the number 120 to make it a perfect cube?
