Sunday

December 21, 2014

December 21, 2014

Posted by **kendra** on Tuesday, November 29, 2011 at 6:33pm.

- factors math -
**MathMate**, Tuesday, November 29, 2011 at 8:41pmThis is a problem that requires the understanding of the relationship between LCM and GCF.

Take the example of 45 and 63:

45=*9****5**

63=*9****7**

GCF=*9*

LCM=*9****5*7**

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,

LCM/GCF=9*7*5/9=7*5

Multiplying the GCF by each of the factors gives the original numbers:

9*7=63

9*5=45.

For the given case,

LCM=31185

GCF=495

LCM/GCF=63=7*9

So multiplying the GCF each by 7 and 9 will give the numbers a and b.

GCF=9*

- factors math -
**maf**, Thursday, February 2, 2012 at 5:39pmfind a pair of numbers for each set of conditions.the LCM is 35.the GCF is 7.

- factors math -
**baraa**, Wednesday, October 17, 2012 at 8:55pmWhat is the greatest common factor of 23, 40, and 43?

- factors math -
**lulwa**, Saturday, December 8, 2012 at 6:53amfind a pair of numbers that matches the descripion . the LCM of two numbers is 42 and their sum is 20

**Answer this Question**

**Related Questions**

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 ...