The proportion among three numbers is 3 4 5 and their LCM is 1800 The second number is ........

Quantitative Aptitude (MTS) LCM, HCF

The proportion among three numbers is 3 : 4 : 5 and their LCM is 1800. The second number is:

120

150

- The numbers are in the ratio 3:4:5.

- Let these numbers be 3x, 4x, and 5x.

- The Least Common Multiple (LCM) of 3x, 4x, and 5x is given as 1800.

- To find 'x', calculate the LCM of 3, 4, and 5, which is 60.

- Therefore, the LCM of 3x, 4x, and 5x becomes 60x.

- Set 60x equal to 1800 and solve for x, leading to x = 30.

- Substitute x back to find the numbers: 3x = 90, 4x = 120, and 5x = 150.

- Therefore, the second number is 120.

- 120 is the correct option:

- 90

- ? 120

- 30

- 150

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