Question

the ratio of two number is 9:10.Their hcf is 19. Find the lcm of the numbers

Answer 1

Answer:

the LCM is 1710.

Step-by-step explanation:

The ratio of two numbers is 9:10, then:

Let 1st number be 9 x and 2nd number is 10 x :

Now, As we know that, (LCM= Product of two numbers/HCF)

SO, LCM is 9 x*10 x = 90 x^2

Again, As per question HCF = 19

And, Product =9 x×10 x=90 x^2

So, LCM(90 x) × 19 = 90 x^2

=> 1710/90= x

=> x = 19

Now, LCM is 90 x = 90 * 19 = 1710

Hence, the LCM is 1710.

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i hope it will helps you friend

Answer 2

LCM(171,190) is 1710.

Given:

• The ratio of two numbers is 9:10.
• Their HCF is 19.

To find:

• Find the LCM of the numbers.

Solution:

Step 1:

Find the common factor of the numbers.

Let the common factor of numbers be 'x'.

So,

The numbers are 9x and 10x.

We know that, HCF of two numbers is the highest common factor of both numbers.

So,

The numbers are

$9 \times 19 = 171$

and

$10 \times 19 = 190$

Thus,

The numbers are 171 and 190.

Step 2:

Find the LCM of the numbers.

Do prime factors of both numbers.

$171 = 3 \times 3 \times 19$

$190 = 2 \times 5 \times 19$

$LCM(171, \: 190) = 2 \times {3}^{2} \times 5 \times 19$

$\bf LCM(171, \: 190) = 1710$

Thus,

LCM(171,190) is 1710.

Learn more:

1) The sum of two number is 132 and there lcm is 360 then find the number

https://brainly.in/question/4482615

2)Find the L.C.M of 3/4,6/7,9/8.

https://brainly.in/question/5569271

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