The L.C.M. of $54, 90$ and a third number is $1890$ and their H.C.F. is $18.$ What is the third number?

36

No worries! We‘ve got your back. Try BYJU‘S free classes today!

180

No worries! We‘ve got your back. Try BYJU‘S free classes today!

126

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

108

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C $126$
LCM $\times$ HCF $=$ product of the numbers.
$⟹ 1890 \times 18 = 54 \times 90 \times x ⟹ x = 7$
Now, third number $= H C F \times x = 18 \times 7 = 126$ .

Suggest Corrections

Similar questions

H.C.F. of 3240, 3600 and a third number is 36 and their L.C.M. is 2 $^{4}$ x 3 $^{5}$ x 5 $^{2}$ x 7 $^{2}$ . The third number is ____.

x

x

18

36

x

18

2

Join BYJU'S Learning Program