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Lesson Example Discussion Quiz: Class Homework

Step-4

Title: Least common multiple

Grade: 6-a Lesson: S1-L3

Explanation: Hello Students, time to practice and review the steps for the problem.

Lesson Steps

Step	Type	Explanation	Answer
1	Problem	Find the least common multiple for the following numbers 20 and 80.
2	Hint	To find the least common multiple (LCM) of 20 and 80, you can use the prime factorization method.
3	Step	Prime factorization of 20:	\$ 2^2*5^1\$
4	Step	Prime factorization of 80:	\$ 2^4*5^1 \$
5	Step	Next, we identify the highest powers of each prime factor, So the highest power of 2 is	\$ 2^4 \$
6	Step	The highest power of 5 is	\$ 5^1 \$
7	Step	Multiply the highest powers of each prime factor together	\$ LCM = 2^4*5^1\$
8	Step	After simplification we get	\$ LCM = 16*5 \$
9	Step	After simplification we get	\$ LCM = 80\$
10	Sumup	Can you summarize what you’ve understood in the above steps?
11	Choice.A	This is not correct because 40 is not a common multiple of 20 and 80	40
12	Choice.B	This is not correct because 16 is not a common multiple of 20 and 80	16
13	Choice.C	This is not correct because 20 is not the least common multiple	20
14	Choice.D	This is correct because 80 is the least common multiple of 20 and 80	80
15	Answer	Option	D
16	Sumup	Can you summarize what you’ve understood in the above steps?

Step

Type

Explanation

Answer

Problem

Find the least common multiple for the following numbers 20 and 80.

Hint

To find the least common multiple (LCM) of 20 and 80, you can use the prime factorization method.

Step

Prime factorization of 20:

\$ 2^2*5^1\$

Step

Prime factorization of 80:

\$ 2^4*5^1 \$

Step

Next, we identify the highest powers of each prime factor, So the highest power of 2 is

\$ 2^4 \$

Step

The highest power of 5 is

\$ 5^1 \$

Step

Multiply the highest powers of each prime factor together

\$ LCM = 2^4*5^1\$

Step

After simplification we get

\$ LCM = 16*5 \$

Step

After simplification we get

\$ LCM = 80\$

Sumup

Can you summarize what you’ve understood in the above steps?

Choice.A

This is not correct because 40 is not a common multiple of 20 and 80

Choice.B

This is not correct because 16 is not a common multiple of 20 and 80

Choice.C

This is not correct because 20 is not the least common multiple

Choice.D

This is correct because 80 is the least common multiple of 20 and 80

Answer

Option

Sumup

Can you summarize what you’ve understood in the above steps?