Home › UP Board Class 10 › Mathematics › The prime factorizations of 96 and 404 are $96=2…
The prime factorizations of 96 and 404 are $96=2^5\times 3$ and $404=2^2\times 101$. What is their LCM?
A$404$
B$9696$
C$96$
D$2424$
Answer & Solution
Correct answer: B. $9696$
Take the greatest powers of all primes appearing in the two numbers: $2^5$, $3$, and $101$. So $\operatorname{LCM}=2^5\times 3\times 101=32\times 303=9696$.
Related questions
What is the derivative of $x^x$ for $x>0$?If $y=x^{\tan^{-1}x}$, then $\dfrac{dy}{dx}$ equalsThe derivative of $ in^{-1}x$ isThe derivative of $\cos^{-1}x$ isWhat is $\dfrac{d}{dx}(\tan^{-1}x)$?If $y=\dfrac{1}{x^n}$, then $\dfrac{dy}{dx}$ isWhich identity is correct?For the expression $ qrt{1-x^2}$, a useful trigonometric substitution is