Question

The product of two numbers is 20535. If their h.C. F is 37 then find their l.C.M ?

Answer 1

Answer: 555

Step-by-step explanation:

Product ofbtwo numbers=HCF x LCM

So LCM= product/HCF

=20535/37

=555

Answer 2

$\mathfrak{Answer:}$

= 555.

$\mathfrak{Step-by-Step\;Explanation:}$

$\underline{\bold{Given\;in\;the\;Question:}}$

• Product of two numbers = 20535.
• Their H.C.F = 37.

$\mathbb{SOLUTION:}$

Let the L.C.M be x.

$\bigstar\quad\textbf{We know that : \boxed{\bold{L.C.M\times H.C.F=Product\;of\;two\;no.}}}\\\\\\\mathfrak{According\;to\;Question:}\\\\\\\implies\tt{x\times 37=20535}\\\\\\\implies\tt{x=\dfrac{20535}{37}}\\\\\\\implies\tt{x=555.}\\\\\\\boxed{\boxed{\bold{L.C.M=555.}}}$

$\\\\\rangle\rangle\mathfrak{Extra\;info:}\\\\\\\bold{1.L.C.M\;of\;fraction=\dfrac{L.C.M\;of\;numerators}{H.C.F\;of\;denominators.}}\\\\\\\bold{2.H.C.F\;of\;fraction=\dfrac{H.C.F\;of\;numerators}{L.C.M\;of\;denominators.}}$