Question

the Hcf of 195 and 87 is 3.the lcm of 195 and 87 is​

Answer 1

Given :- The HCF of 195 and 87 is 3. The LCM of 195 and 87 is : a) 5556 O (b) 5565 c) 5566 (d) 5655 ?

Solution :-

→ First number = 195

→ Second number = 87

and,

→ HCF of 195 and 87 = 3

we know that,

• HCF * LCM = First number * Second number .

so, putting given values we get,

→ 3 * LCM = 195 * 87

→ LCM = 195 * 29

→ LCM = 5655 (d) (Ans.)

therefore, LCM of 195 and 87 is 5655 .

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Answer 2

Given:

If the HCF of 195 and 87 is 3

To find:

LCM

Solution:

It is given that the HCF of two numbers is 3.

The first number is 195 and the second number is 87.

Product of two numbers = 195 x 87 = 16965

we know that,

Product of two numbers = HCF x LCM

$LCM \: = \dfrac{Product \: of \: two \: numbers \: }{HCF}$

$LCM = \dfrac{16965}{3}$

$LCM \: = 5655$

Hence, If the HCF of 195 and 87 is 3 and their LCM is 5655.