Find the least common multiple for the numbers 56 and 96. Show your method.
possible answers are ) 1344 B) 224 C) 672 D) 168
1344 is not correct.
These are multiples of 96:
96, 192, 288, 384, 480, 576, 672, 768
Which of these is also divisible by 56?
The answer is 672, thank you.
You're right.
Please don't repeat questions that have already been answered.
http://www.jiskha.com/display.cgi?id=1254665772
Instead make a note of the time you posted the question and keep checking for answers.
To find the least common multiple (LCM) of two numbers, such as 56 and 96, you can follow these steps:
Step 1: Find the prime factorization of both numbers.
We can factorize 56 and 96 as follows:
56 = 2 * 2 * 2 * 7
96 = 2 * 2 * 2 * 2 * 3
Step 2: Identify the common prime factors.
In this case, the common prime factors are 2 and 2.
Step 3: Take the highest power of each common prime factor.
From the prime factorization, we can see that both numbers have two 2's. We take the highest power, which is 2.
Step 4: Find the product of the common prime factors.
In this case, the product of the common prime factors is 2 * 2 = 4.
Step 5: Multiply the product of the common prime factors by the remaining prime factors from each number.
For 56, we have the remaining prime factor of 7.
For 96, we have the remaining prime factor of 3.
Multiplying the common prime factors (4) by the remaining prime factors (7 and 3), we get:
4 * 7 * 3 = 84
Therefore, the least common multiple (LCM) of 56 and 96 is 84.
Based on the possible answers provided:
A) 1344: This is not the correct answer.
B) 224: This is not the correct answer.
C) 672: This is not the correct answer.
D) 168: This is not the correct answer.
None of the options matches the correct answer, which is 84.