Learning Task 4: Solve the following problem. Write the letter of the correct answer in
your notebook.
1) A number is divisible by 24, 42, and 60. Find its smallest possible value?
A. 480
B.B40
C. 460
D. 860
2) There are the same remainder 3 when 135, 111, and 87 is divided by a certain
number. Find the largest possible value of this number.
A. 11
B.12
C. 13
D. 15
3) Mr. Ethan has a land that measures 42m by 60m into equal squares. What should be
the size of largest square?
A 30 sq. meter
B. 32 sq. meter
C. 34 sq. meter
D. 36 sq. meter
4. Mr. Lazo would like to divide his class for their Math project. There are 32 boys and
24 girls in the class. How many possible group can he make if he wants to grouped them
with the same number of boys and girls and no remainder?
A He can form 2, 4 or 8 groups
C. He can form 3, 6, or 9 groups
B. He can form 5, 6 or 7 groups
D. He can form 2, 3 or 5 groups
5. If Mr. Lazo choose the highest possible group that he can make, how many girls and
boys will be in each group?
A. 8 girls and 6 boys
C. 8 boys and 6 girls
B. 4 girls and 3 boys
D 4 boys and 3 girls
Answers & Comments
Verified answer
Greatest Common Factor and Least Common Multiple
To solve word problems involving least common multiple, identify the multiples of each number. Look for the lowest multiple on the list. Multiples are the products of multiplying a certain number by 1 - 10. To solve for word problems involving greatest common factor, list all the possible factors of the given numbers. Among the listed factors, choose the highest.
Learning Task 4:
Answers:
Solutions:
1. 24, 42, 60
24 - 24, 48, 72, 96, 120, 144, 168, 192, 216, 240, 264, 288, 312, 336, 360, 384,
408, 432, 456, 480, 504, 528, 552, 576, 600, 624, 648, 672, 696, 720,
744, 768, 792, 816, 840
42 - 42, 84, 126, 168, 210, 252, 294, 336, 378, 420, 462, 504, 546, 588, 630,
672, 714, 756, 798, 840
60 - 60, 120, 180, 240, 300, 360, 420, 480, 540, 600, 660, 720, 780, 840
LCM: 840
2. 135, 111, 87
135 - 3 = 132
111 - 3 = 108
87 - 3 = 84
Find the GCF.
132 - 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
108 - 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
84 - 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
GCF: 12
3. 42 m x 60 m
Find the GCF.
42 - 1, 2, 3, 6, 7, 14, 21, 42
60 - 1, 2, 3, 4, 5, 6, 10, 12, 15, 30, 60
GCF: 6
Then find the area.
6m x 6m = 36m²
4. 32 boys
24 girls
Find the common factors.
32 - 1, 2, 4, 8, 16, 32
24 - 1, 2, 3, 4, 6, 8, 12, 24
Common Factors: 2, 4, 8
5. 32 ÷ 8 = 4
24 ÷ 8 = 3
4 boys and 3 girls
How to solve word problems involving GCF and LCM: brainly.ph/question/22306925
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Answer:
1.B
2.B
3.D
4.A
5.D
Step-by-step explanation:
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