This is a problem that requires the understanding of the relationship between LCM and GCF.
Take the example of 45 and 63:
So you see that GCF*LCM equals the products of the two numbers.
Conversely, LCM/GCF is the product of factors NOT common to both (shown in bold in the above example).
To find numbers a,b which have given LCM and GCF, divide M=LCM/GCF and distribute factors of M to the GCF, for example,
Multiplying the GCF by each of the factors gives the original numbers:
For the given case,
So multiplying the GCF each by 7 and 9 will give the numbers a and b.
find a pair of numbers for each set of conditions.the LCM is 35.the GCF is 7.
What is the greatest common factor of 23, 40, and 43?
find a pair of numbers that matches the descripion . the LCM of two numbers is 42 and their sum is 20
Answer this Question
math - The gcf(a,b)=495 and cm(a,b)=31,185 Find possible values of a and b if a ...
Math - The question is this: You know that a number is divisible by 6 if it is ...
math - How do the ideas of divisibility and multiples relate to the study of ...
5th grade math - what is the least common multiple The least common multiple is ...
Math - Divisibility and Factors - If c and d are integers, d is divisible by 30...
math - The following conjectures were made by students. Are they true or false? ...
math - is 504 divisible by 2,4,6,8 is 111 divisible by 3,9 is 3,217 divisible by...
Math PLEASE HELP!!! - Which of the following is false? a. A number that is ...
Math - Which of the following is false? a. A number that is divisible by 3 and ...
Math - True or fals: a number is divisible by 8 if it is divisble by 4 and ...