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LenKa [72]
1 year ago
10

Use prime factorization to find the LCM of each set of numbers:A) 15,21B)15,30C)24,72D)16,42E)8, 30F)18,30G) 8,16,20

Mathematics
1 answer:
jarptica [38.1K]1 year ago
4 0

Solution

For this case we can do the following:

A) 15, 21

LCM= 105

15= 3*5

21 = 7*3

LCM= 3*5*7

b) 15,30

LCM= 30

15= 3*5

30 = 2*5

LCM= 2*3*5= 30

c) 24,72

LCM= 72

24= 2*3*4

72= 2* 2*2*3*3

LCM= 2*2*2*3*3

d) 16,42

LCM= 336

16= 2*2*4

42= 2*3*7

LCM= 2*2*3*7*4

e) 8,30

LCM=120

8= 2*4

30= 2*3*5

LCM= 2*3*4*5=120

f) 18,30

LCM=90

18= 2*3*3

90= 2*5*3*3

LCM= 2*5*3*3

g) 8,16,20

LCM= 80

8= 2*2*2

16= 2*2*2*2

20= 2*2*5

LCM= 2*2*2*2*5

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2 years ago
Presented below are the components in determining cost of goods sold. Determine the missing amounts.
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Answer:

a) $190,000

b) $70,000

c) $65,000

d) $81,000

e) $60,000

f) $133,000

Step-by-step explanation:

Please refer to the attached table where known and unknowns are given as per question.

(a) Costs of Goods available for sale:

The amount of cost of goods available for sale is calculated by adding the purchases and beginning inventory.

Costs of Goods available for sale = Beginning Inventory + Purchases

Costs of Goods available for sale = $80,000 + $110,000

Costs of Goods available for sale = $190,000

(b) Ending Inventory:

The amount of ending inventory is calculated by subtracting the cost of goods sold from the costs of goods available for sale.

Ending Inventory = costs of goods available for sale - cost of goods sold

Ending Inventory = $190,000 - $120,000

Ending Inventory = $70,000

(c) Purchases:

The amount of purchases is calculated by subtracting the beginning inventory from the cost of goods available for sale.

Purchases = costs of goods available for sale - beginning inventory

Purchases = $114,000 - $49,000

Purchases = $65,000

(d) Cost of Goods sold:

The amount of cost of goods sold is calculated by subtracting the ending inventory from the cost of goods available for sale.

Cost of Goods sold = costs of goods available for sale - ending inventory

Cost of Goods sold = $114,000 - $33,000

Cost of Goods sold = $81,000

(e) Beginning Inventory:

The amount of beginning inventory is calculated by subtracting  the purchases from the cost of goods available for sale.

Beginning Inventory = costs of goods available for sale - Purchases

Beginning Inventory = $160,000  - $100,000  

Beginning Inventory = $60,000

(f) Cost of Goods sold:

The amount of cost of goods sold is calculated by subtracting the ending inventory from the cost of goods available for sale.

Cost of Goods sold = costs of goods available for sale - ending inventory

Cost of Goods sold = $160,000 - $27,000

Cost of Goods sold = $133,000

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