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Answers
Step-by-step explanation:
1. Final Step: Biggest Common Factor Number
The biggest common factor number is the GCF number. So the greatest common factor 18 and 34 is 2.
please do not confuse as the HCF and GCF stands for same
2) The instructions to find the LCM of 27, 36 and 54 are the next:
1. Decompose all numbers into prime factors
27 3
9 3
3 3
1
36 2
18 2
9 3
3 3
1
54 2
27 3
9 3
3 3
1
2. Write all numbers as the product of its prime factors
Prime factors of 27 = 33
Prime factors of 36 = 22 . 32
Prime factors of 54 = 2 . 33
3. Choose the common and uncommon prime factors with the greatest exponent
Common prime factors: 3
Common prime factors with the greatest exponent: 33
Uncommon prime factors: 2
Uncommon prime factors with the greatest exponent: 22
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 = 33. 22 = 108
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