Question

the lcm of two co prime number 4875 if one of the number 75 find the other number

Answer 1

Or

If HCF of two positive numbers is 1 they are

called coprime.
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According to the given problem,

If a and b are two pisitive numbers

a = 75, b = ?

LCM = 4875

HCF = 1 [ since a and b are coprime ]

We know that ,

a × b = HCF × LCM

b = ( HCF × LCM ) / a

b = ( 1 ×4875 ) / 75

b = 65

Therefore ,

Required second number = b = 65

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Answer 2

The other number is 61.

Given:

Correct details are:

• LCM of two co-prime numbers is 4575.
• One number is 75.

To find:

• Find the other number.

Solution:

Concept to be used:

LCM of two co-prime numbers (a,b)= a×b

Because numbers are co-prime, ie no common multiple exists before the number formed by a×b.

Step 1:

Let the numbers are a and b.

$\bf a = 75$

and

$\bf LCM(75,b) = 4575$

Step 2:

Find the other number.

$a \times b = 4575$

$\implies \: 75 \times b = 4575$

$\implies \:b = \frac{4575}{75}$

$\implies \:\bf b = 61$

Thus,

The other number is 61.

Learn more:

1) can two number have the following HCF and LCM

i)HCF=20 AND LCM =535

ii)HCF=15 AND LCM =525

https://brainly.in/question/17983776

2) HCF and LCM of two numbers is 9 and 108 respectively. If one of the number is 36, then find the other number.

https://brainly.in/question/776057

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