Question

Product of no is 8000 and hcf is 20 then what is lcm

Answer 1

• Product of numbers = 8000.

• HCF = 20

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We have to find the LCM.

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Let LCM be "M".

___________ [ ASSUME ]

We know that..

$\star \: { \bold{\boxed{Product \: of \: two \: numbers \: = \: LCM\: \times \: HCF}}}$

Put the known values in above formula

=> 8000 = 20 × M

=> $\dfrac{8000}{20}$ = M

=> 400 = M

=> $\boxed{M \:=\: 400}$

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$\huge{\bold{LCM\:=\:400}}$

______________ [ ANSWER ]

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☆ VERIFICATION :

From above calculations we have M = 400

HCF = 20 and Product of two numbers = 8000 according to question.

Now,

Product of two numbers = LCM × HCF

=> 8000 = 20 × 400

=> 8000 = 8000

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