Question

find the LCM of two numbers whose product is 1584 and HCF is 6 find the number​

Answer 1

Answer:

Let factorize the LCM

1584 = 2x2x2x2x3x3x11

Since 11 is a factor, in the LCM, one of the numbers must be a multiple of 11, and multiples of 2. Say the number is 176. Its factors will be 2x2x2x2x11

One number must be a multiple of 16. Let us try 320–176 = 144. Its factors are 2x2x2x2x3x3.

The LCM of 176 and 144 = 2x2x2x2x3x3x11.

So the numbers are 144 and 176.

Answer 2

LCM×HCF=one number× another number

LCM× 6=1584

LCM=1584/6

LCM=264

the two numbers are 24 and 66

1584=2×2×2×2×3×3×11

6=2×3

LCM=2×3×2×2=24

HCF=2×3 ×11=66

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