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The LCM of two numbers is 1820 and their HCF is 26. If one number is 130 then the other number is ?

170
21690
3364
41264

Answer:- 1

Explanation:-

Solution:

\begin{aligned} LCM  =  1820 \\ HCF  = 26 \\ 1^{st} number  =  130 \\ LCM \times HCF \\ =  Product of numbers \\ \Rightarrow Let the other number is x \\ 130 \times x = 1820 \times 26 \\ x = \frac{1820 \times 26}{130} = 364 \end{aligned}

$\eqalign{ & {\text{LCM = 1820}} \cr & {\text{HCF = 26}} \cr & {{\text{1}}^{{\text{st}}}}{\text{ number = 130}} \cr & {\text{LCM}} \times {\text{HCF }} \cr & {\text{ = Product of numbers}} \cr & \Rightarrow {\text{Let the other number is }}x{\text{ }} \cr & 130 \times x = 1820 \times 26 \cr & x = \frac{{1820 \times 26}}{{130}} = 364 \cr}$

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", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" } }, "suggestedAnswer": { "@type": "Answer", "text": "

Solution:

\begin{aligned} LCM  =  1820 \\ HCF  = 26 \\ 1^{st} number  =  130 \\ LCM \times HCF \\ =  Product of numbers \\ \Rightarrow Let the other number is x \\ 130 \times x = 1820 \times 26 \\ x = \frac{1820 \times 26}{130} = 364 \end{aligned}

$\eqalign{ & {\text{LCM = 1820}} \cr & {\text{HCF = 26}} \cr & {{\text{1}}^{{\text{st}}}}{\text{ number = 130}} \cr & {\text{LCM}} \times {\text{HCF }} \cr & {\text{ = Product of numbers}} \cr & \Rightarrow {\text{Let the other number is }}x{\text{ }} \cr & 130 \times x = 1820 \times 26 \cr & x = \frac{{1820 \times 26}}{{130}} = 364 \cr}$ ", "dateCreated": "7/24/2019 10:09:12 AM" } }

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