Question

If HCF of 30&45 is 15 . find the LCM​

Answer 1

Given:

• There are two numbers 30&45.
• HCF of two numbers is 15.

To Find:

• LCM of the two numbers.

Concept Used:

• We will use the relationship between HCF ,LCM and the two numbers.

Answer:

Here we are given two numbers and their HCF and using the data we have to find their LCM .

Now here's a formula ,

$\large{\underline{\boxed{\red{\sf{\hookrightarrow (HCF\times LCM)=1st\: number\times 2nd\: number}}}}}$

Now using above formula we have;

$\sf{\implies HCF\times LCM = 30\times45}$

$\sf{\implies 15\times LCM =30\times45}$

$\sf{\implies LCM =\dfrac{\cancel{30}\times45}{\cancel{15}}}$

${\underline{\boxed{\purple{\sf{\leadsto LCM =90}}}}}$

${\underline{\underline{\orange{\sf{Hence\:LCM\:of\:30\:and\:45\:is\:90.}}}}}$

Extra information:

• HCF is a factor of LCM . Here in given question LCM is 90 and HCF is 15 .And 15 is a factor of 90.
• LCM can also be found by prime factorisation method.