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Lesson Example Discussion Quiz: Class Homework

Step-2

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 41 and 55.
2	Hint	To find the least common multiple (LCM) of 41 and 55, you can use the prime factorization method.
3	Step	Prime factorization of 41:	\$ 41^1 \$
4	Step	Prime factorization of 55:	\$ 5^1 * 11^1 \$
5	Step	Next, we identify the highest powers of each prime factor, So the highest power of 41 is	\$ 41^1 \$
6	Step	The highest power of 5 is	\$ 5^1 \$
7	Step	The highest power of 11 is	\$ 11^1 \$
8	Step	Multiply the highest powers of each prime factor together	\$ LCM = 41^15^111^1\$
9	Step	After simplification we get	\$ LCM = 41511 \$
10	Step	After simplification we get	\$ LCM = 2255\$
11	Sumup	Can you summarize what you’ve understood in the above steps?
12	Choice.A	This is not correct because it is not divisible by both 41 and 55	2245
13	Choice.B	This is not correct because it is not divisible by both 41 and 55	2265
14	Choice.C	This is not correct because 2205 is not a multiple of both 41 and 55. If you divide 2205 by 41, you get a reminder	2205
15	Choice.D	This is the correct answer because it is the least common multiple of 41 and 55	2255
16	Answer	Option	D
17	Sumup	Can you summarize what you’ve understood in the above steps?

Step

Type

Explanation

Answer

Problem

Find the least common multiple 41 and 55.

Hint

To find the least common multiple (LCM) of 41 and 55, you can use the prime factorization method.

Step

Prime factorization of 41:

\$ 41^1 \$

Step

Prime factorization of 55:

\$ 5^1 * 11^1 \$

Step

Next, we identify the highest powers of each prime factor, So the highest power of 41 is

\$ 41^1 \$

Step

The highest power of 5 is

\$ 5^1 \$

Step

The highest power of 11 is

\$ 11^1 \$

Step

Multiply the highest powers of each prime factor together

\$ LCM = 41^1*5^1*11^1\$

Step

After simplification we get

\$ LCM = 41*5*11 \$

Step

After simplification we get

\$ LCM = 2255\$

Sumup

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

Choice.A

This is not correct because it is not divisible by both 41 and 55

2245

Choice.B

This is not correct because it is not divisible by both 41 and 55

2265

Choice.C

This is not correct because 2205 is not a multiple of both 41 and 55. If you divide 2205 by 41, you get a reminder

2205

Choice.D

This is the correct answer because it is the least common multiple of 41 and 55

2255

Answer

Option

Sumup

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