Question

by using the HCF, find the LCM of 1333,1767​

Answer 1

HCF x LCM = 1333 x 1767,

As HCF = 1

LCM = 1333 x 1767 = 2355411

Answer 2

$\huge\bold\red{ANSWER:-}$

1. Decompose all numbers into prime factors:-

1333 = 31 = 43 = 43 = 1

1767 = 3 = 589 = 19 = 31 = 31= 1

2. Write all numbers as the product of its prime factors:-

Prime factors of 1333 = 31 . 43

Prime factors of 1767 = 3 . 19 . 31

3. Choose the common and uncommon prime factors with the greatest exponent:-

Common prime factors: 31

Common prime factors with the greatest exponent: 311

Uncommon prime factors: 43 , 3 , 19

Uncommon prime factors with the greatest exponent: 431, 31, 191

4. Calculate the Least Common Multiple or LCM:-

Remember, to find the LCM of several numbers you must multiply the common and uncommon prime factors with the greatest exponent of those numbers.

LCM = 311. 431. 31. 191 = 75981

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