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Rinku Meena

· started a discussion

· 1 Months ago

multiplication of n mumbers when lcm and hcm is given...=(hcf)^n-1 X(lcm)

Question:
There are three numbers. The HCF of each pair is 15 and the LCM of all the three numbers is 1890. The product of the numbers is:
Options:
A) 1890 x 15
B) 1890 x 152
C) 1890 x 153
D) None of these
Solution:
Ans: (a) 

HCF=15

Hence 15 is a factor of every number

First number =15 × a

Second number =15 × b

Third number = 15 × c

LCM=15 × a × b × c

Product of numbers =15 × a × 15 × b × 15 × c

=15 × 15 × 15 × a × b × c =225 × (15 × a × b × c)=225 × LCM

=225 × 1890 = 425250

Knowledge Expert

· commented

· 1 Months ago

Dear Student,
We have resolved the issue, the correct answer is option B.

Thanks and Regards
Team TR

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