Question

Find the HCF and Lom of the following poils
ob contecles and veriby that LCM x H CE
I podroduct of the two numbers
48 and 64 (2) 90 and 144 (3) 336 and 54.​

Answer 1

Step-by-step explanation:

Given -

1) 48 and 64

2) 90 and 144

3) 336 and 54

To Find -

• HCF and LCM
• Verify LCM × HCF = product of the two number

1) 48 and 64

48 = 2×2×2×2×3

64 = 2×2×2×2×2×2

HCF = 16

LCM = 16×3×4 = 192

Verification :-

LCM × HCF = product of two numbers

→ 16 × 192 = 48 × 64

→ 3072 = 3072

LHS = RHS

2) 90 and 144

90 = 2×3×3×5

144 = 2×2×2×2×3×3

HCF = 18

LCM = 720

Verification :-

LCM × HCF = product of two numbers

→ 18 × 720 = 90 × 144

→ 12960 = 12960

LHS = RHS

3) 336 and 54

336 = 2×2×2×2×3×7

54 = 2×3×3×3

HCF = 6

LCM = 3024

Verification :-

LCM × HCF = product of two numbers

→ 6 × 3024 = 336 × 54

→ 18144 = 18144

LHS = RHS

Answer 2

$\large\underline\mathrm{Given:-}$

• 48 and 64
• 90 and 144
• 336 and 54

$\large\underline\mathrm{To \: find}$

• HCF = LCM
• LCM × HCF = products of the two number.

$\large\underline\mathrm{Solution}$

• 48 and 64

$\implies$ 2 × 2 × 2 × 2 × 3

$\implies$ 2 × 2 × 2 × 2 × 2 × 2

$\implies$ HCF = 16

$\implies$ LCM = 16 × 3 × 4 = 192

$\large\underline\mathrm{Now,}$

$\implies$ LCM × HCF = products of two number.

$\implies$ 16 × 192 = 48 × 64

$\implies$ 3072 = 3072

LHS = RHS.

• 90 and 144

$\implies$ 90 = 2 × 3 × 3 × 5

$\implies$ 144 = 2 × 2 × 2 × 2 × 3 × 3

$\implies$ HCF = 18

$\implies$ LCM = 720

$\large\underline\mathrm{Now,}$

$\implies$ LCM × HCF = products of two number.

$\implies$ 18 × 720 = 90 × 144

$\implies$ 12960 = 12960

LHS = RHS.

• 336 and 54

$\implies$ 336 = 2 × 2 × 2 × 2 × 3 × 7

$\implies$ 54 = 2 × 3 × 3 × 3

$\implies$ HCF = 6

$\implies$ LCM = 3024

$\large\underline\mathrm{Now}$,

$\implies$ LCM × HCF = products of two number.

$\implies$ 6 × 3024 = 336 × 54

$\implies$ 18144 = 18144

$\large\underline\mathrm{LHS \: = \: RHS.}$

$\large\underline\mathrm{Hope \: it \: helps \: you \: plz \: mark \: me \: brainlist}$