Answer:
The LCM of 510 and 92 is 23460 and the HCF is 2. The product of the two numbers is equal to the product of their LCM and HCF, 510 × 92 = 23460 × 2.
Hope it was helpful!!
Given 510 and 92,
92 can be factorized as 2×2×23
.
510 can be factorized as 2×3×5×17
After prime factoring the numbers given, let us
list down all the prime factors.
Then take the lowest/least power of each of the
prime factors. This is the method to compute
HCF. The lowest power of the prime factor 2 is 1,
which is to say we have a 2 in both the numbers.
Hence HCF is 2.
Next, take the highest power of each of the prime
factors. This is the method to compute LCM. The
highest power of the prime factors 2, 3, 5, 17 and
23 are 2, 1, 1, 1 and 1 respectively.
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Answers & Comments
Answer:
The LCM of 510 and 92 is 23460 and the HCF is 2. The product of the two numbers is equal to the product of their LCM and HCF, 510 × 92 = 23460 × 2.
Hope it was helpful!!
Complete step-by-step answer:
Given 510 and 92,
92 can be factorized as 2×2×23
.
510 can be factorized as 2×3×5×17
.
After prime factoring the numbers given, let us
list down all the prime factors.
Then take the lowest/least power of each of the
prime factors. This is the method to compute
HCF. The lowest power of the prime factor 2 is 1,
which is to say we have a 2 in both the numbers.
Hence HCF is 2.
Next, take the highest power of each of the prime
factors. This is the method to compute LCM. The
highest power of the prime factors 2, 3, 5, 17 and
23 are 2, 1, 1, 1 and 1 respectively.
Therefore LCM is 22×3×5×17×23=23460
Hence the HCF and LCM of 510 and 92 are 2 and 23460 respectively.