Question and Answers Forum

All Questions      Topic List

Number Theory Questions

Previous in All Question      Next in All Question      

Previous in Number Theory      Next in Number Theory      

Question Number 93982 by Rasheed.Sindhi last updated on 16/May/20

$$\mathrm{LCM}(a,\frac{3}{5}a)=3a$$$$a=?$$

Commented by mr W last updated on 16/May/20

$$a=5b$$$$LCM(5b,3b)=3\times 5b$$$$thisistrueforanyb⩾1.therefore$$$$a=5,10,15,...$$

Commented by PRITHWISH SEN 2 last updated on 16/May/20

$$\mathrm{the}\mathrm{qiestion}\mathrm{cannot}\mathrm{have}\mathrm{any}\mathrm{unique}\mathrm{solution}$$$$\mathrm{it}\mathrm{can}\mathrm{be}\mathrm{true}\mathrm{for}\mathrm{almost}\mathrm{every}\mathrm{value}\mathrm{of}\mathrm{a}\in \mathbb{R}$$$$\mathrm{as}\mathrm{if}\mathbf{a}=2$$$$\mathbf{then}\mathbf{LCM}(2,\frac{6}{5})=\frac{\mathrm{LCM}\mathrm{of}2,6}{\mathrm{HCF}\mathrm{of}1,5}=\frac{6}{1}=6=3.2$$

Commented by mr W last updated on 16/May/20

$$whatiknowisthatthefunction$$$$LCMappliesonlytotwoormore$$$$integers.therefore\frac{3}{5}ashouldbe$$$$integer.$$

Commented by PRITHWISH SEN 2 last updated on 16/May/20

$$\mathrm{LCM}\mathrm{for}\mathrm{two}\mathrm{or}\mathrm{more}\mathrm{factors}=\frac{\mathrm{LCM}\mathrm{of}\mathrm{numerator}}{\mathrm{HCF}\mathrm{of}\mathrm{denominator}}$$$$\mathrm{HCF}\mathrm{for}\mathrm{two}\mathrm{or}\mathrm{more}\mathrm{factors}=\frac{\mathrm{HCF}\mathrm{of}\mathrm{numerator}}{\mathrm{LCM}\mathrm{of}\mathrm{denominator}}$$

Commented by mr W last updated on 16/May/20

$$thankssir!$$

Commented by PRITHWISH SEN 2 last updated on 16/May/20

$$\mathrm{welcome}\mathrm{sir}.$$

Commented by Rasheed.Sindhi last updated on 16/May/20

$$Thankyouallsirs!$$

Terms of Service

Privacy Policy

Contact: info@tinkutara.com