Question

the lcm of two numbers is 42 and their hcf is 7 if number is 21 them find other number. please tell now only no snap​

Answer 1

Answer:

Step-by-step explanation:

1) The HCF and LCM of two numbers are 7 and 42, respectively. One of the numbers is 14. Find the other number.

Here,

HCF of two numbers = 7

LCM of two numbers = 42

One of the number 14

We know that,

★ LCM × HCF = product of two numbers

Therefore, Putting values,

➯ 7 × 42 = 14 × second number

➯ 294 = 14 × second number

➯ second number = 294/14

➯ second number = 21

∴ The other number is 21.

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2) The product of two numbers is 950. Their LCM is 38. Find their HCF.

Here,

Product of two number = 950

LCM of two numbers = 38

Again,

★ LCM × HCF = product of two numbers

Putting values,

➯ 38 × HCF = 950

➯ HCF = 950/38

➯ HCF = 25

∴ The HCF of two numbers is 25.

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Answer 2

Answer:

The other number is 14.

Step-by-step explanation:

Given,LCM of two numbers is 42 and HCF is 7

And it is also given that one number is 21.

We want to find another number.

Let another number be x.

We know,

Product of two numbers = HCF × LCM

For example if product of two numbers is 50 and HCF is 5 then

$50 = 5 \times LCM$

So,LCM$= \frac{50}{5} = 10$

Therefore required LCM is 10.

According to question,

$21 \times x = 42 \times 7 \\ x = \frac{42 \times 7}{21} \\ x = 2 \times 7 \\ x = 14$

Therefore, required another number is 14.

Some important information about HCF and LCM,

HCF means Highest Common Factor

and LCM means Lowest Common Multiples

Know more about HCF,

https://brainly.in/question/25945206

https://brainly.in/question/20353612

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