###### Asked in Math and ArithmeticAlgebraCalculus

Math and Arithmetic

Algebra

Calculus

# What is the product of 9 x 5 x 7?

## Answer

###### Wiki User

###### September 30, 2009 1:18AM

315

## Related Questions

###### Asked in Math and Arithmetic

### What is the least common multiple of the numbers 5 7 and 9?

Factoring each number into product of primes:
5=1 x 5
7 = 1 x 7
9 = 3 x 3, 1 x 9
The number 5 is a factor of 5 only; Include 5 in answer
The number 7 is a factor of 7 only; Include 7 in answer
The number 3 is a factor twice of 9; Include 3x3 in answer
Therefore,
LCM(5,7,9) = 3 x 3 x 5 x 7 = 315
Additional content regarding LCM may be referenced at
http://www.math.info/Arithmetic/LCM

###### Asked in Factoring and Multiples

### Why does the product of 2 numbers equal the product of its LCM and GCF?

It's easier to see with prime factorizations. Consider 30 and
42.
2 x 3 x 5 = 30
2 x 3 x 7 = 42
Their product is (2 x 3 x 5)(2 x 3 x 7) = 1260
Their GCF is 2 x 3
Their LCM is 2 x 3 x 5 x 7
That product is (2 x 3)(2 x 3 x 5 x 7) = 1260
Consider two prime numbers, 5 and 7.
Their product is 35.
Their GCF is 1.
Their LCM is 35.
That product is also 35.