model 1 Basic formula of LCM & HCF Practice Questions Answers Test with Solutions & More Shortcuts

Answer: (d)

Using Rule 1 :

1st number × 2nd number = L.C. M. × H.C.F,

First number = 2 × 44 = 88

∴ First number × Second number

= H.C.F. × L.C.M.

⇒ 88 × Second numebr

= 44 × 264

⇒ Second number = ${44 × 264}/88$ = 132

Answer: (c)

Using Rule 1 :

1st number × 2nd number = L.C. M. × H.C.F,

First number × Second number = HCF × LCM

⇒ 864 × Second number

= 96 × 1296 ⇒ Second number

${96 × 1296}/864$ = 144

Answer: (d)

Using Rule 1 :

1st number × 2nd number = L.C. M. × H.C.F,

Given that

L.C.M. of two numbers = 1820

H.C.F. of those numbers = 26

One of the number is 130

∴ Another number = ${1820×26}/130$ = 364

Answer: (b)

Using Rule 1 :

1st number × 2nd number = L.C. M. × H.C.F,

Product of two numbers = HCF × LCM

⇒ 12906 × 14818 = LCM × 478

⇒ LCM = ${12906 × 14818}/478$

= 400086

Answer: (d)

Using Rule 1 :

1st number × 2nd number = L.C. M. × H.C.F,

First number × second number = LCM × HCF

Let the second number be x.

∴ 10x = 30 × 5

>⇒ $x ={30 × 5}/10$ = 15