Question

find LCM and hcf of the following numbers 135,225​

Answer 1

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Answer 2

$\maltese{\underline{\textbf{\textsf{Concept\:for\:learn:—}}}}$

L.C.M (Lowest Common Multiple):The smallest number which is completely divisible by each given number is called the L. C. M. of the given numbers.

Methods of finding the L. C. M.:

There are three methods of finding the L. C. M. :

• Division Method
• Multiple Method
• Prime Factorization Method

H. C. F. (Highest Common Factor):H. C. F. of two or more numbers is the greatest number that divides each of the given numbers.

Methods of Finding the H. C. F. :

• Division Method
• Prime Factorization Method
• Factor Method

$\maltese{\underline{\textbf{\textsf{Given:—}}}}$

Given numbers 135 and 225.

$\maltese{\underline{\textbf{\textsf{To\:Find:—}}}}$

LCM and HCF

$\maltese{\underline{\textbf{\textsf{Solution:—}}}}$

${\longrightarrow}{\tt{135 = 3 \times 3 \times 3 \times 5}} \\ \\ {\longrightarrow}{\tt{225 = 3 \times 3 \times 5 \times 5}}$

For finding the HCF we have to match the numbers and common the numbers.

${\longrightarrow}{\tt{hcf = 3 \times 3 \times 5}} \\ \\ {\longrightarrow}{\tt{hcf = 45}}$

For finding the LCM we have to take common numbers and remaining numbers too.

${\longrightarrow}{\tt{lcm = 3 \times 3 \times 5 \times 3 \times 5}} \\ \\ {\longrightarrow}{\tt{lcm = 675}}$