Math, asked by rachana64, 8 days ago

The product of 2 numbers is 1200. If the LCM of two numbers is 60 what is the HCF

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Answered by borapraveen20
0

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Answered by amritanshwiverma84
1

The LCM of two numbers is 1200. What is their HCF?

THE QUESTION APPEARS TO HAVE MULTIPPLE ANSWER AS IT IS PROBABLY INCOMPLETE.

Let us explain it.

Let us factorise 1200

2X2X2X2X3X5x5

Now if we can make any nos using theses factors in such a way that they dont have any factor in common, LCM of those no. Wil be 1200.

Like. Take the nos. 16 and 75. These are coprimes and LCM WILL BE product of the two nos.

Simiarly if we take 48 and 25 LCM will be 1200

HCF IN BOTH THE ABOVE CASES IS 1.

Now take 600 and 16, again LCM WILL BE 1200

HCF WILL BE. 8.

TAKE 300 AND 8

HCF WILL BE 4.

WE CAN FIND OUT OTHER COMBINATIONS AS WELL.

THEREFORE THERE. IS NO SINGLE AMSWER TO THE QUESTION AS IT IS NOT COMPLETE.

IF YOU WANT ONE DEFINITE ANSWER YOU HAVE TO PROVIDE EITHER ONE OF THE NUMBER OR THE PRODUCT OF THE 2 NUMBERS.

PLEASE. NOTE THAT

LCM OF 2 NOS X HCF OF THOSE 2 NOS= PRODUCT OF THOSE NOS.

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