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Write 60 as a product of its prime numbers?
2x2x3x5
What is the prime factor of 2x2x3x5?
36
What is the HCF and LCM of 36 and 60?
To do this you first need to express each number as a product of their prime factors: 36 = 2x2x3x3 60 = 2x2x3x5 The next step is to identify any common prime factors. In this case, both numbers have a 2 a 2 and a 3 as prime factors. Multiply these together and you get 12. Therefore the HCF of 36 and 60 is 12. To find the LCM, multiply the numbers together and divide by the hcf: 36x60/12 = 180 So 180 is the LCM of 36 and 60.
How do you get the LCM of 12 15 and 20?
To find the LCM of 3 numbers you first need to split them into their prime factors: 12 = 2x2x3 15 = 3x5 20 = 2x2x5 The next step is to identify any common factors. In this case, two numbers have 3, so we can discard one of these. Two numbers have two 2s, so we can discard 2 of these. Two numbers also have a 5, so we can discard one of these. That leaves us with 2, 2, 3, 5 as the prime factors. Multiplying these together gives: 2x2x3x5 = 60. And therefore 60 is the LCM of 12, 15 and 20.
What is the HCF of 12 and 60?
The Highest Common Factor (HCF) of 12 and 60 is 12. To find the HCF, you need to determine the largest number that divides both 12 and 60 without leaving a remainder. In this case, 12 is the largest number that can evenly divide both 12 and 60, making it the HCF.
