model 1 Basic formula of LCM & HCF Section-Wise Topic Notes With Detailed Explanation And Example Questions

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,

LCM × HCF = 1st Number× 2nd Number

⇒225 × 5 = 25 × x

∴ x = ${225 × 5}/25$ = 45

Answer: (c)

Using Rule 1 :

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

First number × second number = HCF × LCM

⇒ 24 × second number = 8 × 48

∴ Second number =${8 × 48}/24$ = 16

Answer: (d)

Let the numbers be 12x and 12y where x and y are prime to each other.

∴ LCM = 12xy

∴ 12xy = 924

⇒ xy = 77

∴ Possible pairs = (1,77) and (7,11)