32 x 7
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3 x 3 x 7
To find the least common multiple (LCM) of 9, 21, and 7, we first need to find the prime factorization of each number. The prime factorization of 9 is 3^2, 21 is 3*7, and 7 is a prime number itself. To find the LCM, we take the highest power of each prime factor that appears in any of the numbers: 3^2 * 7 = 63. Therefore, the least common multiple of 9, 21, and 7 is 63.
3 x 3 = 9 3 x 7 = 21 3 x 3 x 7 = 63, the LCM
The Highest Common Factor (HCF) of 225 and 63 is 9. To find the HCF, you can use the prime factorization method. First, find the prime factors of each number: 225 = 3 x 3 x 5 x 5 and 63 = 3 x 3 x 7. Then, identify the common prime factors and multiply them together to get the HCF, which in this case is 3 x 3 = 9.
Using the least common denominator technique: 2/7 = 18/63. 5/9 = 35/63. 18/63 + 35/63 = 53/63. Because 53 is prime, this fraction cannot be reduced further.