What is the Least Common Multiple (LCM) of 78 and 104?
Multiply 78 x 104. Then, since these two are even numbers, divide the answer by 2 and test it out. Can BOTH of your original numbers be divided into it? If not, then that's your LCM. If so, try dividing it by 2 and testing it out again.
Or you could multiply your bigger number, 104, and see if 78 goes into the multiples of it. For example, 104(3)= 312. Does 78 go into 312 evenly? That's a guess-and-check method, I think, but it worked.
Find the factors of 78 and 104,what is a factor that is the same number on each? That is the answer!:-)
List all the mulipltes for both number until you reacha number that is the same for both number. That will be your LCM. Example 12=12,24,36* 2=2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36*. As you can see 36 apperas on both 12 and 2 so the LCM is 36. Hope this helps!!
K.C
To find the least common multiple (LCM) of two numbers, you can use a few different methods. One common method is to list the multiples of each number and look for the lowest common multiple. However, I will demonstrate a more efficient method using prime factorization.
Step 1: Prime Factorization
Prime factorize each number by breaking them down into their prime factors. The prime factors of 78 are 2, 3, and 13 (since 78 = 2*3*13). The prime factors of 104 are 2, 2, 2, and 13 (since 104 = 2*2*2*13).
Step 2: Identify the Common and Uncommon Factors
Now, identify the common and uncommon prime factors between the two numbers. The common prime factors are 2 and 13.
Step 3: Determine the LCM
To find the LCM, multiply the common and uncommon prime factors together. The product of the common prime factors is 2*13 = 26.
Now, multiply the uncommon prime factors of each number. For 78, we have an additional prime factor of 3. For 104, we have two additional prime factors of 2. So, the product of the uncommon prime factors is 3*2*2 = 12.
Finally, multiply the product of the common prime factors (26) and the product of the uncommon prime factors (12) to find the LCM: LCM(78, 104) = 26*12 = 312.
Therefore, the least common multiple of 78 and 104 is 312.