Question

अभाज्य गुणनखंड विधि द्वारा 510 और 92 का Hcf और lcm ज्ञात कीजिए

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

$\red {HCF (510,\:92) }=\green { 2}$

$\red {LCM (510,\:92) }=\green { 23460}$

Step-by-step explanation:

$Given ,\: two \: numbers \: 510\:and \: 92 .$

$Resolve \: the \: numbers \: into \: product \\of \:prime .$

2 | 510

_______

3| 255

_______

5| 85

_______

***17

and ,

2| 92

_______

2| 46

_______

** 23

$510 = \pink {2}\times 3\times 5 \times 17$

$92 = \pink { 2\times 2 }\times 23$

$HCF (510,\:92) = 2$

/* Product of the smallest power of each common prime factors of the numbers */

$LCM (510,92) = 2^{2}\times 3\times 5 \times 17 \times 23$

/* Product of the greatest power of each prime factors of the numbers. */

$= 23460$

Therefore.,

$\red {HCF (510,\:92) }=\green { 2}$

$\red {LCM (510,\:92) }=\green { 23460}$

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