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• Pre algebra
• Whole numbers
• Least common multiple (LCM)

# Least common multiple (LCM)

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•  Question 1: 1 pts Find the $LCM$ of $16$ and $64.$
 $8$ $16$ $32$ $64$
•  Question 2: 1 pts Find the $LCM$ of $5$ and $15.$
 $5$ $15$ $20$ $25$
•  Question 3: 1 pts $$LCM(7,7)=49$$
•  Question 4: 1 pts $$LCM(4,15)=4\cdot 15=60$$
•  Question 5: 2 pts Use the Prime factor diagram, shown on the picture, to find the LCM of the numbers $24,36$ and $50.$
 $2^{3}\cdot 3^{2}\cdot 5^{2}$ $2^{2}\cdot 3^{2}\cdot 5^{2}$ $2^{3}\cdot 3\cdot 5^{2}$ $2^{2}\cdot 3^{4}\cdot 5^{2}$
•  Question 6: 2 pts Use the Prime factor diagram, shown on the picture, to find the LCM of the numbers $56$ and $132.$
 $2^{2}\cdot 7^{2}\cdot 11$ $2^{3}\cdot 3^{2}\cdot7\cdot 11^{2}$ $2^{2}\cdot 3^{3}\cdot 7^{2}\cdot 11$ $2^{3}\cdot 3\cdot 7\cdot 11$
•  Question 7: 2 pts Find the $LCM$ of $2^{2}\cdot 3\cdot 5\cdot 7$ and $2^{2}\cdot 3^{2}\cdot 7.$
 $2^{2}\cdot 3\cdot 5\cdot 7$ $2^{2}\cdot 3^{2}\cdot 5\cdot 7$ $2^{2}\cdot 3^{2}\cdot 5\cdot 7^{2}$ $2\cdot 3^{2}\cdot 5\cdot 7$
•  Question 8: 1 pts $$LCM(2, 16)=\dfrac{2\cdot 16}{GCD(2, 16)}$$
•  Question 9: 3 pts This afternoon, Sara noticed that the number of the page assigned for homework is divisible by both 12 and 2. What is the smallest possible page number that could have been assigned?
 $2$ $12$ $24$ $36$
•  Question 10: 3 pts Determine the smallest whole number divisible by numbers $7$ and $8.$
 $42$ $48$ $49$ $56$
•  Question 11: 3 pts Determine all the values $x\geq0$ for which it is $LCM(4,x)=12.$
 $1,3,6,12$ $3,6,12$ $3,6,9,12$ $0,3,6,12$
•  Question 12: 3 pts The $LCM$ of two coprime numbers is
 less than one of the numbers. equal to their product. equal to one of the numbers. always an odd number.