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The H.C.F. of two numbers is 23 and the other two factors of their L.C.M. are 13 and 14. The larger of the two numbers is:
Answer & Solution
Correct Answer:
Option
C
The HCF of a group of numbers will be always a factor of their LCM.
HCF is the product of all common prime factors using the least power of each common prime factor.
LCM is the product of highest powers of all prime factors.
Clearly, the numbers are (23 x 13) and (23 x 14)
∴ Larger number = (23 x 14) = 322
HCF is the product of all common prime factors using the least power of each common prime factor.
LCM is the product of highest powers of all prime factors.
Clearly, the numbers are (23 x 13) and (23 x 14)
∴ Larger number = (23 x 14) = 322
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Login1st no = 13× HCF = 13 × 23 = 299
2nd no = 14 × HCF = 14 × 23 = 322
Clearly , the larger no is 322 option C is correct
एलसीएम सभी प्रमुख कारकों की उच्चतम शक्तियों का उत्पाद है।
स्पष्ट रूप से, संख्याएँ (23 x 13) और (23 x 14) हैं।
बड़ी संख्या = (23 x 14) = 322