Question

If HCF (120, 84) =12, then LCM (120,84) is …………….
(a) 84 (b) 840 (c) 1200 (d) 120

Answer 1

Answer:

$\bold\red{\mathbb{Product\;of\;the\;numbers=HCF × LCM }}$

let the numbers be a and b

then,

$\bold\red{\mathbb{a × b = HCF ×LCM}}$

Given:

Numbers = 120 and 84

HCF = 12

To Find

LCM

SOLUTION:

》a × b = HCF × LCM

》 120 × 84 = 12 × lcm

》10080 =12×lcm

》 lcm = 10080/12

》lcm = 840

hence , the lcm is 840

$\boxed{\boxed{\boxed{\mathfrak{LCM = 840}}}}$

Answer 2

Given ,

The HCF of 120 & 84 is 12

We know that ,

$\sf \star \: \: \fbox{LCM(a \: ,b)= \frac{a \times b}{HCF(a \: , \: b) } }$

Thus ,

$\sf \Rightarrow LCM(120,84) = \frac{120 \times 84}{12} \\ \\\sf \Rightarrow LCM(120,84) = \frac{10080}{12} \\ \\ \sf \Rightarrow LCM(120,84) = 840$

$\therefore \sf \bold{ \underline{The \: LCM \: of \: 120 \: and \: 84 \: is \: 840}}$