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## Answers

2

__100 250 125__

2

__50 125 125__

25

__25 125 125__

5

__1 5 5__

__1 1 1__

Now that there are all ones in the end, multiply all the factors on the left.

Now that there are all ones in the end, multiply all the factors on the left.

__This is 2*2*25*5__

This equals to 500 .

We multiplied everything by 1000 in the beginning, so now we have to divide it by 1000. That then becomes 0.5. The lcm of 0.25, 0.1 and 0.125 is 0.5.

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x = 0.25 y = 0.1 z = 0.125

multiply with 4 : 4 x = 1 4 y = 0.4 z = 0.5

multiply with 10: 40 x = 10 40 y = 4 40 z = 5

LCM of (40 x, 40 y, 40 z) = LCM of ( 10, 4, 5) = 20

LCM of x, y , z = 20/40 = 0.5

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Another method:

x = 0.25 , y = 0.1 z = 0.125

x = 2 z , x = 2.5 y => 2 x = 5 y

2 x = 5 y = 4 z

This is the least as 2 and 5 are co-prime. LCM = 2 x = 5 y = 4 z = 0.5

multiply with 4 : 4 x = 1 4 y = 0.4 z = 0.5

multiply with 10: 40 x = 10 40 y = 4 40 z = 5

LCM of (40 x, 40 y, 40 z) = LCM of ( 10, 4, 5) = 20

LCM of x, y , z = 20/40 = 0.5

===================================

Another method:

x = 0.25 , y = 0.1 z = 0.125

x = 2 z , x = 2.5 y => 2 x = 5 y

2 x = 5 y = 4 z

This is the least as 2 and 5 are co-prime. LCM = 2 x = 5 y = 4 z = 0.5