Find the LCM of 704, 630, 934, 573, 214 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, 630, 934, 573, 214. So, keep reading to learn more.
Given numbers are 704,630,934,573,214
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 704,630,934,573,214 is 2116494959040.
Find LCM of 704,630,934,573,214 with Prime Factorization
2 | 704, 630, 934, 573, 214 |
3 | 352, 315, 467, 573, 107 |
352, 105, 467, 191, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 352 x 105 x 467 x 191 x 107 = 2116494959040
Therefore, the lowest common multiple of 704,630,934,573,214 is 2116494959040.
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 630 x 934 x 573 x 214 = 50795879016960
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
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
934 : 1, 2, 467, 934
573 : 1, 3, 191, 573
214 : 1, 2, 107, 214
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 704,630,934,573,214, is 1.
Now, the common factors can be found like this.
704:2x 2x 2x 2x 2x 2x 11
630:2x 3x 3x 5x 7
934:2x 467
573:3x 191
214:2x 107
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 = 50795879016960/(1x24)
LCM = 50795879016960/24
LCM = 2116494959040
Thus, we can understand that the LCM of 704,630,934,573,214 is 2116494959040.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 704, 630, 934, 573, 214?
Answer: LCM of 704, 630, 934, 573, 214 is 2116494959040.
2. How to calculate the LCM of 704, 630, 934, 573, 214?
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, 630, 934, 573, 214.
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}.