Question

What is the LCM of 2.5,1.2,20 and 7.5. please show working​

Answer 1

L.C.M. of 2.5 , 1.2 , 20 and 7.5 is 300

Step-by-step explanation:

To find: L.C.M. of 2.5 , 1.2 , 20 and 7.5

We know that

The L.C.M. of two or more fractions = L.C.M. of numerators/H.C.F. of denominators

First of all remove the decimals and convert these into fractions.

2.5 = 25/10

1.2 = 12/10

20 = 20/1

7.5 = 75/10

Now, first we will find the L.C.M. of numerators.

L.C.M. of 25 , 12 , 20 , 75

25 = 5 × 5

12 = 2 × 2 × 3

75 = 3 × 5 × 5

20 = 2 × 2 × 5

L.C.M. of 25 , 12 , 20 , 75 = 300

Now, we will find out the H.C.F. of denominators.

H.C.F. of 10, 10, 1 , 10

10 = 2 × 5

10 = 2 × 5

10 = 2 × 5

H.C.F. of 10, 10 and 1 = 1

Thus,

L.C.M. of Numerators/H.C.F. of denominators

= 300/1

= 300

Therefore, L.C.M. of 2.5 , 1.2 , 20 and 7.5 is 300

Answer 2

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L.C.M. of 2.5 , 1.2 , 20 and 7.5 is 300

Step-by-step explanation:

To find: L.C.M. of 2.5 , 1.2 , 20 and 7.5

We know that

The L.C.M. of two or more fractions = L.C.M. of numerators/H.C.F. of denominators

First of all remove the decimals and convert these into fractions.

2.5 = 25/10

1.2 = 12/10

20 = 20/1

7.5 = 75/10

Now, first we will find the L.C.M. of numerators.

L.C.M. of 25 , 12 , 20 , 75

25 = 5 × 5

12 = 2 × 2 × 3

75 = 3 × 5 × 5

20 = 2 × 2 × 5

L.C.M. of 25 , 12 , 20 , 75 = 300

Now, we will find out the H.C.F. of denominators.

H.C.F. of 10, 10, 1 , 10

10 = 2 × 5

10 = 2 × 5

10 = 2 × 5

H.C.F. of 10, 10 and 1 = 1

Thus,

L.C.M. of Numerators/H.C.F. of denominators

= 300/1

= 300

Therefore, L.C.M. of 2.5 , 1.2 , 20 and 7.5 is 300