Math, asked by vaishnavibhagat599, 4 days ago

0.57,9.5 find the LCM & HCF ​

Answers

Answered by leafofautumn
0

Answer:

HCF = 0.19

LCM = 28.5

Step-by-step explanation:

1.

9.5 = 9.50

and keep 0.57 as it is.

2. Remove decimals. Make a note that you have removed decimals of 2 places.

3. Now, 950 = 2 x 5 x 5 x 19

and, 57 = 3 x 19.

4. HCF means highest common factor.

here the common factor is 19.

HCF of 950 and 57 = 19.

But wait, remember you removed 2 place decimal before. Put the decimal back to get HCF of 9.5 and 0.57.

Therefore, HCF(9.5, 0.57) = 0.19

5. Now for LCM, lowest common multiple,

Take every multiple for the numbers and only write a single number for the multiple repeated in both the numbers. Here, 19 is repeated, so we write it only once.

LCM of 57 and 950 = 2 x 5 x 5 x 3 x 19 = 2850

Therefore, LCM(0.57, 9.5) = 28.5

Answered by ALANKRITADEBROY
0

Final Answer:

The HCF and the LCM of the numbers 0.57, and 9.5 are 1.9 and 2.85 respectively.

Given:

The stated numbers are 0.57 and 9.5.

To Find:

The HCF and the LCM of the numbers 0.57, and 9.5 are to be calculated.

Explanation:

The vital concepts of LCM or HCF are helpful in figuring out the solution to this problem.

  • The Highest Common Factor or HCF is that factor which has the highest value among all the common factors of the stated dataset of numbers.
  • The Least Common Multiple or LCM is the multiple which has the least value among all the common multiples of the stated dataset of numbers.

Step 1 of 3

As per the given statement in the problem, write the factorization of the numbers 0.57, and 9.5 in the following way.

  • 0.57=3\times 19\times 10^{-2}
  • 9.5=5\times 19\times 10^{-1}

Step 2 of 3

Using the information in the given problem, the HCF of the numbers 0.57, and 9.5 is

=19\times 10^{-1}\\=1.9

Step 3 of 3

In continuation with the above calculations the LCM of the numbers 0.57, and 9.5 is

=3\times 5\times 19\times 10^{-2}\\=2.85

Therefore, the required correct answer is the HCF of 1.9 and the LCM of 2.85.

Know more from the following links.

https://brainly.in/question/54179983

https://brainly.in/question/952029

#SPJ6

Similar questions