Question

if HCF of two numbers be 40then which of the following cannot be their LCM<br />20<br />40<br />80<br />160​

Answer 1

Answer:

20

Step-by-step explanation:

LCM for natural numbers cannot be smaller than HCF

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Answer 2

${\Large{\color{blue}{\sf{Question : }}}}$

If HCF of two numbers be 40then which of the following cannot be their LCM.

1. 20
2. 40
3. 80
4. 160

${\Large{\color{red}{\sf{Answer : }}}}$

If HCF of two numbers be 40then which of the following cannot be their LCM.

• ✅ 20
• 40
• 80
• 160

Explanation :-

${\large{\sf{\bigstar{ \: Given : }}}}$

• HCF of two numbers = 40

${\large{\sf{\bigstar{ \: To \: find : }}}}$

• Which of the following given number is not LCM of that numbers.

${\sf{\bigstar{ \: As \: we \: know \: that : }}}$

• L.C.M :- Lowest Common Factor
• H.C.F :- Highest Common Factor

Now ,LCM should have a factors 40.

${ \large{\sf{\implies{ \frac{20}{40} = 0.5}}}}$

${ \large{\sf{\implies{ \frac{40}{40} = 1}}}}$

${ \large{\sf{\implies{ \frac{80}{40} = 2}}}}$

${ \large{\sf{\implies{ \frac{160}{40} = 4}}}}$

After checking the answer , 20 is only which does not have a factor 8. So it will not be the LCM.