if hcf of two numbers is 12 and multiple of two numbers is 1800n and n is a natural number find lcm
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If HCF of two numbers is 12, then the numbers will be considered as 12x and 12y.
LCM of 12x and 12y = 12xy. We need to find 12xy.
12x × 12y = 144xy = 1800n
xy = 1800n ÷ 144 = 12.5n
12xy = 12.5n × 12 = 150n150n is the answer.
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rahul3286019:
answer is 900
Actually, 1800n means what?
1800 multiplied by a natural number n..and this is the product of two numbers whose hcf is given
Oh, if the two numbers are x and y, then xy = 1800n, right?
yes
But the answer shouldn't be 900 only. The answer should be 150n. If the answer is 900, then n should be 6. It is not said here.
ya
how to solve answer to get 900
To get 900 as answer, the question should be like 'If HCF of two numbers is 12 and their product is 10800, find their LCM.'
Here, n = 6, 1800n = 1800 x 6 = 10800, and the answer is 150n = 150 x 6 = 900.
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