Question

Find the HCF and LCM of 6, 72 and 120 using the prime factorisation method.​

Answer 1

Answer:

HCF of 6 72 and 120 is to 3

Step-by-step explanation:

factors of 6 is 2 and 3

factors of 72 is 2 ,3, 4,....

factors factors of 120 is 2,3,4,....

hear the HCF of 6 72 and 120 is 3

Answer 2

Answer:

• HCF of 6, 72 and 120 = 2 × 3 = 6
• LCM of 6, 72 and 120 = 2³ × 3² × 5 = 8 × 9 × 5 = 360

Step-by-step explanation:

1). 6

$\begin{array}{r | l}2 & 6 \\\cline{2-2} 3 & 3 \\\cline{2-2} & 1\end{array}$

• 6 = 2 × 3

$\rule{200}{1}$

2). 72

$\begin{array}{r | l}2 & 72 \\\cline{2-2} 2 & 36 \\\cline{2-2} 2 & 18 \\\cline{2-2} 3 & 9 \\\cline{2-2} 3 & 3 \\\cline{2-2} & 1\end{array}$

• 72 = 2 × 2 × 2 × 3 × 3 = 2³ × 3²

$\rule{200}{1}$

3). 120

$\begin{array}{r | l}2 & 120 \\\cline{2-2} 2 & 60 \\\cline{2-2} 2 & 30 \\\cline{2-2} 3 & 15 \\\cline{2-2} 5 & 5 \\\cline{2-2} & 1\end{array}$

• 120 = 2 × 2 × 2 × 3 × 5 = 2³ × 3 × 5

$\rule{200}{1}$

• HCF of 6, 72 and 120 = 2 × 3 = 6
• LCM of 6, 72 and 120 = 2³ × 3² × 5 = 8 × 9 × 5 = 360

$\rule{200}{1}$

Extra Info:

• H.C.F. = H.C.F. means Highest Common Factor.

• L.C.M. = L.C.M. Least Common Multiplier.

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