Question

3. Find the lowest number of four digits that
can be divided by 22, 36 and 42.​

Answer 1

$\underline{\textbf{Given:}}$

$\textsf{Numbers are 22, 36 and 42}$

$\underline{\textbf{To find:}}$

$\textsf{The lowest four digit number that can be divided by 22, 36 and 42}$

$\underline{\textbf{Solution:}}$

$\textsf{It is enough to find the least common mutiple of 22, 36 and 42}$

$\mathsf{22=2{\times}11}$

$\mathsf{36=2^2{\times}3^2}$

$\mathsf{42=2{\times}3{\times}7}$

$\underline{\textsf{Least common multiple}}$

$\mathsf{=2^2{\times}3^2{\times}7{\times}11}$

$\mathsf{=4{\times}9{\times}77}$

$\mathsf{=36{\times}77}$

$\mathsf{=2772}$

$\therefore\textbf{The required four digit number is 2772}$

$\underline{\textbf{Find more:}}$

Find the ratio between HCF and LCM of 10 15 and 20

https://brainly.in/question/15064394  

Find the greatest number that divides 3128 and 420 ​

https://brainly.in/question/15327150  

Find hcf of 144, 96, 54 by prime factorisation

https://brainly.in/question/2132704