verify the relationship between the two values lcm and hcf for 12 and 15
Answers
Answer:
The Least Common Multiple (LCM) is defined as the smallest number that is a multiple of all the numbers from a group of numbers.
Consider an example, the LCM of 12 and 15 is 60.
To find the LCM of numbers, first, mention the multiples of each number.
Therefore, the multiples of 12 = 12, 24, 36, 48, 60, 72, 84.. etc.,
The multiples of 15 = 15, 30, 45, 60, 75, 90, 105,.. Etc,
So, 60 is the smallest number that is a multiple of both 12 and 15.
The Highest Common Factor ( HCF) is defined as the largest number that divides evenly into all the numbers from a group of numbers.
For example, the HCF of 12 and 15 is 3. Because 3 is the only common factor for both the numbers 12 and 15 and it is the largest number that divides both the numbers.
Prime factorisation of 12 = 2 x 2 x 3
Prime factorisation of 15 = 3 x 5
Step-by-step explanation:
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