Lcm of 328,369 in copy process
Answers
Answer:
Find HCF of (332-4), (370-1) HCF of 328,369 328 = 2 x 2 x 2 x 41 369 = 3 x 3 x 41. So, HCF is 41. The required greatest number is 41.
Step-by-step explanation:
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Step-by-step explanation:
1. Decompose all numbers into prime factors
328 2 164 2 82 2 41 41 1 369 3 123 3 41 41 1 417 3 139 139 1
2. Write all numbers as the product of its prime factors
Prime factors of 328 = 23 . 41
Prime factors of 369 = 32 . 41
Prime factors of 417 = 3 . 139
3. Choose the common and uncommon prime factors with the greatest exponent
Common prime factors: None
Common prime factors with the greatest exponent: None
Uncommon prime factors: 2 , 41 , 3 , 139
Uncommon prime factors with the greatest exponent: 23, 411, 32, 1391
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 = 2³. 41¹. 3². 139¹= 410328