Least common multiple (LCM) of 5184 and 5184 is 5184.
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∴l.cm from 120 and 560=1680.
The LCM of 11 and 16 is 176.
Answer: LCM of 1280 and 1294 is 828160. 2. What are the factors of 1280? Answer: Factors of 1280 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 256, 320, 640, 1280.
So 5184=2×2×2×2×2×2×3×3×3×3 . So the square root of 5184 can be written as √5184=2×2×2×3×3=72 . Therefore, the square root of 5184 is 72.
Example 2: Find the LCM and greatest common divisor (GCD) of 560 and 509. Solution: The factors of 560 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560 and factors of 509 are 1,509. Therefore, the LCM of 560 and 509 is 285040 and the greatest common divisor (gcd) of 560 and 509 is 1.
The LCM of 120 and 90 is 360.
Answer: LCM of 120 and 90 is 360 and HCF of 120 and 90 is 30.
The LCM of 12 and 16 is 48.
The multiples of 12 are 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144,… The multiples of 16 are 16, 32, 48, 64, 80, 96, 112, 128, 144, 160,… Hence the common multiples of 12 and 16 are 48, 96, 144,… and their LCM is 48.
What is the LCM of 11 and 15? Answer: LCM of 11 and 15 is 165.
1280 is a composite number. Prime factorization: 1280 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5, which can be written as 1280 = 2⁸ × 5. The exponents in prime factorization are 8 and 1.
Hence the other number is 40.
The LCM and HCF formula of the two numbers ‘a’ and ‘b’ is given as HCF × LCM = a × b. In other words, the formula of HCF and LCM says that the product of any two numbers is equal to the product of HCF and LCM.
The square root of 5184 is 72. 72 is a positive even integer, so 5184 is a perfect square. The square root of 5184 is 72. 72 is a positive even integer, so 5184 is a perfect square.
Prime factorization of 41 = 1 × 41. Therefore, √41 is in lowest form and cannot be simplified any further.
The square root of 4225 is 65. Since 65 is an integer, 4225 is a perfect square.
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