Find the LCM of 572, 944, 702, 336, 278 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 572, 944, 702, 336, 278. So, keep reading to learn more.
Given numbers are 572,944,702,336,278
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 572,944,702,336,278 is 3546374832.
Find LCM of 572,944,702,336,278 with Prime Factorization
2 | 572, 944, 702, 336, 278 |
2 | 286, 472, 351, 168, 139 |
2 | 143, 236, 351, 84, 139 |
2 | 143, 118, 351, 42, 139 |
3 | 143, 59, 351, 21, 139 |
13 | 143, 59, 117, 7, 139 |
11, 59, 9, 7, 139 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 13 x 11 x 59 x 9 x 7 x 139 = 3546374832
Therefore, the lowest common multiple of 572,944,702,336,278 is 3546374832.
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.
572 x 944 x 702 x 336 x 278 = 35407006322688
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.
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
278 : 1, 2, 139, 278
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 572,944,702,336,278, is 2.
Now, the common factors can be found like this.
572:2x 2x 11x 13
944:2x 2x 2x 2x 59
702:2x 3x 3x 3x 13
336:2x 2x 2x 2x 3x 7
278:2x 139
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 2x 2x 2x 2x 3x 13 = 4992
Therefore, the value for common factors is 4992.
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 = 35407006322688/(2x4992)
LCM = 35407006322688/9984
LCM = 3546374832
Thus, we can understand that the LCM of 572,944,702,336,278 is 3546374832.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 572, 944, 702, 336, 278?
Answer: LCM of 572, 944, 702, 336, 278 is 3546374832.
2. How to calculate the LCM of 572, 944, 702, 336, 278?
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 572, 944, 702, 336, 278.
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}.