The text{g.c.d.} of two numbers is 18 and the | vedclass

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

Question

(D) We know that for any two positive integers $a$ and $b$,the relationship between their $	ext{g.c.d.}$ (Greatest Common Divisor) and $	ext{l.c.m.}

Vedclass · Accepted Answer

$360$

Vedclass · Answer

(D) We know that for any two positive integers $a$ and $b$,the relationship between their $	ext{g.c.d.}$ (Greatest Common Divisor) and $	ext{l.c.m.}$ (Least Common Multiple) is given by:$	ext{g.c.d.}(a, b) 	imes 	ext{l.c.m.}(a, b) = a 	imes b$Given that $	ext{g.c.d.} = 18$ and the product of the two numbers $(a 	imes b) = 6480$.Substituting these values into the formula:$18 	imes 	ext{l.c.m.} = 6480$$	ext{l.c.m.} = \frac{6480}{18}$$	ext{l.c.m.} = 360$Therefore,the $	ext{l.c.m.}$ of the two numbers is $360$.

The $\text{g.c.d.}$ of two numbers is $18$ and their product is $6480$. Their $\text{l.c.m.}$ is ..........

Similar Questions

The conjugate surd of $3+\sqrt{2}$ is $\ldots \ldots \ldots \ldots .$

Show that the square of any positive integer cannot be of the form $5q+2$ or $5q+3$ for any integer $q$.

Which of the following is Bezout's identity?

Find the square root of $8+\sqrt{63}$ in the form of a binomial surd.

The rationalising factor of $-2-\sqrt{5}$ is ..............

Vedclass Test Series

Exam Paper Generator

Online Exam Module