Find numbers of ordered triplets (a, b, c) of positive integers for which LCM (a, b)=1000 LCM(b, c)=2000 and LCM (c, a)=2000

Question

Gundeep Singh · Answer

I think there are 7 ×10= 70 triplets of (a,b,c) .but i am not completely sure..pls correct me if i m wrong.

Shivam Raina · Answer

The answer is given as 84 but i think the answer is wrong because everyone calculated 70 but can u explain it briefly

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Find numbers of ordered triplets (a, b, c) of positive integers for which LCM (a, b)=1000 LCM(b, c)=2000 and LCM (c, a)=2000

Find numbers of ordered triplets (a, b, c) of positive integers for which LCM (a, b)=1000 LCM(b, c)=2000 and LCM (c, a)=2000

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Find numbers of ordered triplets (a, b, c) of positive integers for which LCM (a, b)=1000 LCM(b, c)=2000 and LCM (c, a)=2000

Find numbers of ordered triplets (a, b, c) of positive integers for which LCM (a, b)=1000 LCM(b, c)=2000 and LCM (c, a)=2000

2 Answers

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Other Related Questions on Algebra

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