Find the LCM of 628, 598, 437, 902, 130 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 628, 598, 437, 902, 130. So, keep reading to learn more.
Given numbers are 628,598,437,902,130
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 628,598,437,902,130 is 8045091340.
Find LCM of 628,598,437,902,130 with Prime Factorization
2 | 628, 598, 437, 902, 130 |
13 | 314, 299, 437, 451, 65 |
23 | 314, 23, 437, 451, 5 |
314, 1, 19, 451, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 23 x 314 x 1 x 19 x 451 x 5 = 8045091340
Therefore, the lowest common multiple of 628,598,437,902,130 is 8045091340.
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.
628 x 598 x 437 x 902 x 130 = 19243858485280
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.
628 : 1, 2, 4, 157, 314, 628
598 : 1, 2, 13, 23, 26, 46, 299, 598
437 : 1, 19, 23, 437
902 : 1, 2, 11, 22, 41, 82, 451, 902
130 : 1, 2, 5, 10, 13, 26, 65, 130
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 628,598,437,902,130, is 1.
Now, the common factors can be found like this.
628:2x 2x 157
598:2x 13x 23
437:19x 23
902:2x 11x 41
130:2x 5x 13
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 13x 23 = 2392
Therefore, the value for common factors is 2392.
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 = 19243858485280/(1x2392)
LCM = 19243858485280/2392
LCM = 8045091340
Thus, we can understand that the LCM of 628,598,437,902,130 is 8045091340.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 628, 598, 437, 902, 130?
Answer: LCM of 628, 598, 437, 902, 130 is 8045091340.
2. How to calculate the LCM of 628, 598, 437, 902, 130?
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 628, 598, 437, 902, 130.
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}.