The HCF of 45 and 105 is 15.Find the LCM.
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LCM of the numbers = 315
Explanation:
We know,
HCF of 2 numbers \times× LCM of same 2 numbers = product of the two numbers.
Given that the 2 numbers are 45 and 105.
HCF of the 2 numbers = 15.
HCF of 2 numbers \times× LCM of same 2 numbers = product of the two numbers.
15 x LCM of the numbers = 45 and 105
LCM of the numbers = \frac{45 \times 105}{15}
15
45×105
= 315
Therefore, LCM of the numbers = 315
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