By using the fact g.c.d.(a, b) times l.c.m.(a | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) Given numbers are $a = 96$ and $b = 404$.First,find the prime factorization of $96$ and $404$:$96 = 2^5 	imes 3$$404 = 2^2 	imes 101$The $g.c.d.

Vedclass · Accepted Answer

$9696$

Vedclass · Answer

(A) Given numbers are $a = 96$ and $b = 404$.First,find the prime factorization of $96$ and $404$:$96 = 2^5 	imes 3$$404 = 2^2 	imes 101$The $g.c.d.(96, 404)$ is the product of the smallest power of each common prime factor:$g.c.d.(96, 404) = 2^2 = 4$.Using the formula $g.c.d.(a, b) 	imes l.c.m.(a, b) = a 	imes b$:$4 	imes l.c.m.(96, 404) = 96 	imes 404$$l.c.m.(96, 404) = \frac{96 	imes 404}{4}$$l.c.m.(96, 404) = 96 	imes 101 = 9696$.

By using the fact $g.c.d.(a, b) \times l.c.m.(a, b) = a \times b$,find $l.c.m.(96, 404)$.

Similar Questions

If $\text{g.c.d.}(12, 40) = 40 + 4x$,then $x = \dots$

Prove that the following number is irrational: $\sqrt{11}$

According to Euclid's division lemma,for given positive integers $a$ and $7$,there exist unique non-negative integers $q$ and $r$ such that $a = 7q + r$; where..........

The decimal expansion of $\frac{43}{2^{4} \times 5^{3}}$ will terminate after .......... digits.

Prove that the square of every integer is of the form $3m$ or $3m+1$,where $m \in \mathbb{Z}$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module