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What is the prime factorization using exponents for 1080?
23 x 33 x 5 = 1080
What is the prime factorization of 1080?
2 x 2 x 2 x 3 x 3 x 3 x 5
What is the LCM of 45 and 54 and 72?
To find the least common multiple (LCM) of 45, 54, and 72, we first need to find the prime factorization of each number. The prime factorization of 45 is 3^2 * 5, 54 is 2 * 3^3, and 72 is 2^3 * 3^2. Then, we take the highest power of each prime factor that appears in any of the numbers: 2^3 * 3^3 * 5 = 540. Therefore, the LCM of 45, 54, and 72 is 540.
What is the HCF of 480 and 1080?
The Highest Common Factor (HCF) of 480 and 1080 is the largest positive integer that divides both numbers without leaving a remainder. To find the HCF, we need to factorize both numbers into their prime factors. The prime factors of 480 are 2^5 x 3 x 5, and the prime factors of 1080 are 2^3 x 3^3 x 5. To find the HCF, we take the common prime factors with the lowest exponent, which are 2^3 x 3 = 24. Therefore, the HCF of 480 and 1080 is 24.
What is the LCM of 1080?
LCM of 1080 is 1080.
