Find the LCM of 704, 732, 821, 678 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 704, 732, 821, 678. So, keep reading to learn more.
Given numbers are 704,732,821,678
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 704,732,821,678 is 11952131136.
Find LCM of 704,732,821,678 with Prime Factorization
2 | 704, 732, 821, 678 |
2 | 352, 366, 821, 339 |
3 | 176, 183, 821, 339 |
176, 61, 821, 113 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 176 x 61 x 821 x 113 = 11952131136
Therefore, the lowest common multiple of 704,732,821,678 is 11952131136.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
704 x 732 x 821 x 678 = 286851147264
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
821 : 1, 821
678 : 1, 2, 3, 6, 113, 226, 339, 678
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 704,732,821,678, is 1.
Now, the common factors can be found like this.
704:2x 2x 2x 2x 2x 2x 11
732:2x 2x 3x 61
821:821
678:2x 3x 113
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 3 = 24
Therefore, the value for common factors is 24.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 286851147264/(1x24)
LCM = 286851147264/24
LCM = 11952131136
Thus, we can understand that the LCM of 704,732,821,678 is 11952131136.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 704, 732, 821, 678?
Answer: LCM of 704, 732, 821, 678 is 11952131136.
2. How to calculate the LCM of 704, 732, 821, 678?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 704, 732, 821, 678.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.