Question

by using common division method find the lcm of 17,10,68​

Answer 1

Answer:

Step-by-step explanation:

LCM means the Lowest Common Multiple.

What is lowest common multiple?

It means the lowest number of multiplication between two numbers.

For example :

Multiples of 2 :

2 , 4 , 6 , 8 , 10 , 12 , 14 , 16 , 18 , 20

Multiples of 7

7 , 14 , 21 , 28 , 35 , 42 , 49 , 56 , 63 , 70

The lowest multiple between this number is bold and underlined.

14 is the lowest common factor of 2 and 7.

This is just one of the method of doing the lowest common factor.

Imagine it is a bigger number, 5 and 120?

There is no way you can slowly view the multiples of 5 and 120, its simply ridiculous.

To find the Lowest Common Multiple, Division Method is one of it.

And it can done using this way :

To get the LCM of 17, 10 and 68, we multiply the different factors gotten from the division method.

17$\sqrt{17, 10, 68}$

2$\sqrt{1, 10, 4}$

2$\sqrt{1, 5, 2}$

5$\sqrt{1, 5, 1}$

$\sqrt{1, 1, 1}$

Factors : 17 × 5 × 2 × 2

Simply multiply the factors and there goes your lowest common multiple.

17 × 5 × 2 × 2 = 340

340 is your lowest common multiple

HOPE THIS ANSWER HELPED!

This is literally the second time I answered to this type of question! XD

Answer 2

PRIME FACTORIATION OF ALL THE NUMBERS

1. 17- SEVENTEEN IS A PRIME NUMBER
2. 10- 2×5
3. 68- 2×2×17

LCM = 340