If a -23- 33- 72 and b -22- 32- 53- which is true-A- HCF -2- 3 times 3- 2 - - 1B- HCF -2- 3 3 - 2 - LCM -2- 3 3- 2 times 5- 3 times 7LCM -2- 3 D- LCM -2- 2- times 3- 2 - 1

The correct option is C HCF= 2^2 × 3^2 ; LCM= 2^3 × 3^3 × 5^3 × 7^2HCF = Product of the smallest powers of each common prime factor in the numbers. LCM = Prod ...

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Byju's Answer

Standard VI

Mathematics

Relation between HCF and LCM

If a =23× 33×...

Question

If a = $2^{3} \times 3^{3} \times 7^{2}$ and $b = 2^{2} \times 3^{2} \times 5^{3},$ which is true?

H C F = 2^{2} \times 3^{2}; L C M = 2^{3} \times 3^{3} \times 5^{3} \times 7^{2}

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H C F = 2^{3} \times 3^{2}; L C M = 2^{3} \times 3^{2} \times 5^{2} \times 7^{3}

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H C F = 2^{3} \times 3^{2}; L C M = 2^{3} \times 3^{2} \times 5^{3} \times 7^{3}

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L C M = 2^{2} \times 3^{2}; H C F = 2^{3} \times 3^{3} \times 5^{3} \times 7^{2}

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Solution

The correct option is A $H C F = 2^{2} \times 3^{2}; L C M = 2^{3} \times 3^{3} \times 5^{3} \times 7^{2}$
HCF = Product of the smallest powers of each common prime factor in the numbers.
LCM = Product of the largest powers of each common prime factor in the numbers.
The common prime factors of a and b are 2 and 3.
$T h u s, H C F = 2^{2} \times 3^{2} .$
All the prime factors of a and b are 2,3,5 and 7.
$T h u s, L C M = 2^{3} \times 3^{3} \times 5^{3} \times 7^{2}$

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If a = 23×33×72and b=22×32×53, which is true?

If a = $2^{3} \times 3^{3} \times 7^{2}$ and $b = 2^{2} \times 3^{2} \times 5^{3},$ which is true?