. E Learning Task 3: Solve the following problem using the concept of LCM and GCF. Write your answer in your notebook. 1) Juluis has 72 cups and 64 glasses. If he will put it in the tray with same number of cups and glass, what is the biggest possible number of cups and glasses that the tray will contain? 2) Miss Mae has three ribbons to be cut into same lengths. The lengths of the ribbons are 24, 40, and 48 inches. What is the greatest possible length of each pieces of ribbon to avoid leftover ribbons. 3. Leo visits the regional office once every 2 days. Ethan visits once every 4 days while Jaypee visits once every 6 days. They all meet one day in the office. After how many days will they meet together again at the Regional Office?
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Least Common Multiple and Greatest Common Factor
Factors are numbers that when multiplied will result to the given number. It divides that number without leaving any remainder. Multiples are the products of multiplying a certain number by 1 - 10. Greatest Common Factor is the highest among the factors. Least Common Multiple is the lowest among the multiples. While factoring uses division, multiples involve the multiplication process.
Learning Task 3:
Answers:
Solutions:
1. Given: 72 cups
64 glasses
Asked: The biggest possible number of cups and glass that the tray will
contain.
Operation: Find the GCF.
Answer: 72 - 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
64 - 1, 2, 4, 8, 16, 32, 64
GCF: 8
Therefore, the tray will contain 8 glasses and 8 cups which gives a total of 16.
2. Given: 3 ribbons
24, 40, 48 inches - lengths of the 3 ribbons
Asked: The greatest possible length of each pieces of ribbon to avoid
leftover ribbons.
Operation: Find the GCF.
Answer: 24 - 1, 2, 3, 4 ,6 ,8, 12, 24
40 - 1, 2, 4, 5, 8, 10, 20, 40
48 - 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
GCF: 8
3. Given: every 2 days - Leo's visit
every 4 days - Ethan's visit
every 6 days - Jaypee's visit
Asked: The day when the three will meet together in the office.
Operation: Find the least common multiple.
Answer: 2 - 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24
4 - 4, 8, 12, 16, 20, 24
6 - 6, 12, 18, 24. 30
LCM: 12
Therefore, they will meet at the office during Leo's 12th visit, .Ethan's 6th visit, and Jaypee's 4th visit which is on the 24th day.
What is LCM: brainly.ph/question/10033620
What is GCF: brainly.ph/question/28803
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