What is the LCM and GCF of 11 and 68?

The question "What is the LCM and GCF of 11 and 68?" can be split into two questions: "What is the LCM of 11 and 68?" and "What is the GCF of 11 and 68?"

In the question "What is the LCM and GCF of 11 and 68?", LCM is the abbreviation of Least Common Multiple and GCF is the abbreviation of Greatest Common Factor.

To find the LCM, we first list the multiples of 11 and 68 and then we find the smallest multiple they have in common. To find the multiples of any number, you simply multiply the number by 1, then by 2, then by 3 and so on. Here is the beginning list of multiples of 11 and 68:

Multiples of 11: 11, 22, 33, 44, 55, 66, etc.

Multiples of 68: 68, 136, 204, 272, 340, 408, etc.

The least multiple on the two lists that they have in common is the LCM of 11 and 68. Therefore, the LCM of 11 and 68 is 748.

To find the GCF, we first list the factors of 11 and 68 and then we find the largest factor they have in common. The factors of any number, are all the numbers that you can evenly divide into that number.

In other words, the factors of 11 are all the numbers that can evenly divide into 11, and the factors of 68 are all the numbers that can evenly divide into 68. Here are the factors for 11 and 68:

Factors of 11: 1 and 11.

Factors of 68: 1, 2, 4, 17, 34, and 68.

The greatest factor on the two lists that they have in common is the GCF of 11 and 68. Therefore, the GCF of 11 and 68 is 1.

In summary, the answer to the question "What is the LCM and GCF of 11 and 68?" is 748 and 1.

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