The LCM of three different numbers is 120. Which of the following cannot be their HCF?

  • 18
  • 212
  • 324
  • 435
Answer:- 1
Explanation:-

Solution:
LCM = 120 (given)
LCM is the product of one common factor and other different factors of the given numbers.
∴ Factorize the given LCM = 120
2×2×3×5×24(3×5×2)
= Here 4 is common factor (common factor is the HCF of the given number
∴ HCF = 4
So, for the given numbers the HCF should be multiple of 4
⇒ Hence go through options which is not a multiple of 4 is 35
Hence answer is 35

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= Here 4 is common factor (common factor is the HCF of the given number
∴ HCF = 4
So, for the given numbers the HCF should be multiple of 4
⇒ Hence go through options which is not a multiple of 4 is 35
Hence answer is 35 ", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" } }, "suggestedAnswer": { "@type": "Answer", "text": "
Solution:
LCM = 120 (given)
LCM is the product of one common factor and other different factors of the given numbers.
∴ Factorize the given LCM = 120
2×2×3×5×24(3×5×2)
= Here 4 is common factor (common factor is the HCF of the given number
∴ HCF = 4
So, for the given numbers the HCF should be multiple of 4
⇒ Hence go through options which is not a multiple of 4 is 35
Hence answer is 35 ", "dateCreated": "7/24/2019 10:09:12 AM" } }
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