Question

The product of two no. is 1600 and their HCF is 5 . The LCM of the no. is​

Answer 1

Step-by-step explanation:

Let the two numbers be a and b

HCF(a,b)×LCM(a,b)=a×b

(5)×LCM(a,b)=1600

LCM(a,b)=(1600)/5

LCM(a,b)=320

Answer 2

Given :-

• The product of two numbers = 1600

• HCF = 5

To find :-

• LCM = ?

Solution :-

Let the LCM be x

we know that,

$\small\orange{\bigstar}\:\:{\underline{\boxed{\bf\red{Product\:of\:HCF\:and\:LCM=Product\:of\:two\:Number}}}}$

$\rm\longrightarrow\:5\times{x}=1600$

$\rm\longrightarrow\:5x=1600$

$\rm\longrightarrow\:x=\cancel\dfrac{1600}{5}$

$\rm\longrightarrow\:x=320$

Hence,the LCM will be 320,

More information :-

✪ HCF:-HCF refers to the highest common factor.It is the largest or greatest factor common to any two or more given Natural number.

✪ LCM:-LCM refers to the lowest common multiple.It is the smallest or least common multiple of any two or more given Natural numbers.

More formula,

⚽ LCM = product of number/their HCF.

⚽ Other number = HCF × LCM / one number.