Name: Finding LCM and HCF of Real Numbers
Uploaded: 2019-07-19
Duration: 4 min 8 s
Description: In this video, we will learn the concept and method of finding the least common multiple, and highest common factor of real numbers in detail, with examples.

Question

Find the L.C.M of each of the following groups of numbers, using (I) prime factorization method and (ii) the common division method.

$22, 121$ and $33$

Accepted Answer

Given that,

To find L.C.M. of $22, 121 and 33$

L.C.M. using prime factor method:

First, express each of the given numbers as a product of its prime factors and then in index form.

$\Rightarrow 22 = 2 \times 11 = 2^{1} \times 11^{1}$

$\Rightarrow 121 = 11 \times 11 = 11^{2}$

$\Rightarrow 33 = 3 \times 11 = 3^{1} \times 11^{1}$

L.C.M. $=$ Product of all prime factors obtained with the highest power of each.

So, L.C.M. $= 2^{1} \times 3^{1} \times 11^{2} = 726$

Therefore, L.C.M. of given numbers using prime factorization is $726$ .

L.C.M. using common division method:

The product of all the divisors will be the required L.C.M.

$\begin{matrix} 2 & 22 & 121 & 33 \\ 3 & 11 & 121 & 33 \\ 11 & 11 & 121 & 11 \\ 11 & 1 & 11 & 1 \\ 1 & 1 & 1 \end{matrix}$

So, L.C.M. $= 2 \times 3 \times 11 \times 11 = 726$ .

Therefore, the L.C.M. of the given numbers using common division method is $726$ .

Find the L.C.M of each of the following groups of numbers, using (I) prime factorization method and (ii) the common division method.

$22, 121$ and $33$

Important Questions on H.C.F. and L.C.M.

Learn and Prepare for any exam you want !

Find the L.C.M of each of the following groups of numbers, using (I) prime factorization method and (ii) the common division method. 22, 121 and 33

Important Questions on H.C.F. and L.C.M.

Learn and Prepare for any exam you want !

Find the L.C.M of each of the following groups of numbers, using (I) prime factorization method and (ii) the common division method.

$22, 121$ and $33$