Question

the hcf of 45 and 105 is 15 . write their lcm .

Answer 1

hcf * lcm = product of 2 no
15 *x=45*105
15x=4725
x=4725/15
x=315
the other no is 315

Answer 2

Answer:

LCM of the numbers = 315

Step-by-step explanation:

We know,

HCF of 2 numbers $\times$ LCM of same 2 numbers = product of the two numbers.

Given that the 2 numbers are 45 and 105.

HCF of the 2 numbers = 15.

Hence, according to the formula  

HCF of 2 numbers $\times$ LCM of same 2 numbers = product of the two numbers.

15 x LCM of the numbers = 45 and 105

LCM of the numbers = $\frac{45 \times 105}{15}$ = 315  

Therefore, LCM of the numbers = 315