Find the LCM of 402 and its successive number
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The instructions to find the LCM of 402 are the next:
1. Decompose all numbers into prime factors
4022201367671
2. Write all numbers as the product of its prime factors
Prime factors of 402=2 . 3 . 67
3. Choose the common and uncommon prime factors with the greatest exponent
Common prime factors: 2 , 3 , 67
Common prime factors with the greatest exponent: 21, 31, 671
Uncommon prime factors: None
Uncommon prime factors with the greatest exponent: None
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 = 21. 31. 671 = 402
1. Decompose all numbers into prime factors
4022201367671
2. Write all numbers as the product of its prime factors
Prime factors of 402=2 . 3 . 67
3. Choose the common and uncommon prime factors with the greatest exponent
Common prime factors: 2 , 3 , 67
Common prime factors with the greatest exponent: 21, 31, 671
Uncommon prime factors: None
Uncommon prime factors with the greatest exponent: None
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 = 21. 31. 671 = 402
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Answer:
402 × 403 ( Successive no. of 402 )
1,62,006 (Ans.)
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