Question

what types of problems can be solved using the greatest common factors? What types of problems can be solved using the least common multiple

Answer 1

What types of problems can be solved using the greatest common factor? What types of problems can be solved using the least common multiple? Complete the explanation. 
*** Use the words 'same' and 'different' to complete the following sentences.*** 

Problems in which two different amounts must be split into (the same) number of groups can be solved using the GCF. Problems with events that occur on (different) schedules can be solved using the LCM.

Answer 2

Answer:

The greatest common factor or GCF is the greatest factor any two numbers share or we can say that GCF is the greatest factor that divides two different numbers.

Like the greatest common factor of 12 and 8 is 4.

There can be problems like - Kesha has 8 cans of normal soda and 16 cans of diet soda. She wants to create few refreshment tables that will operate during the basketball game soon to be held. She does not want any sodas left over. What is the greatest number of refreshment tables that she can stock?

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The least common multiple or the LCM is the smallest common number or multiple of any two numbers.

Like the least common multiple of 3 and 5 is 15.

There can be problem like - Brian has painting lessons every fifth day and swimming lessons every third day. If he had both the lessons on May 7, when will be the next date on which he has both lessons?