Find the LCM of 902, 351, 390, 110 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 902, 351, 390, 110. So, keep reading to learn more.
Given numbers are 902,351,390,110
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 902,351,390,110 is 1583010.
Find LCM of 902,351,390,110 with Prime Factorization
2 | 902, 351, 390, 110 |
3 | 451, 351, 195, 55 |
5 | 451, 117, 65, 55 |
11 | 451, 117, 13, 11 |
13 | 41, 117, 13, 1 |
41, 9, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 13 x 41 x 9 x 1 x 1 = 1583010
Therefore, the lowest common multiple of 902,351,390,110 is 1583010.
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.
902 x 351 x 390 x 110 = 13582225800
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.
902 : 1, 2, 11, 22, 41, 82, 451, 902
351 : 1, 3, 9, 13, 27, 39, 117, 351
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
110 : 1, 2, 5, 10, 11, 22, 55, 110
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 902,351,390,110, is 1.
Now, the common factors can be found like this.
902:2x 11x 41
351:3x 3x 3x 13
390:2x 3x 5x 13
110:2x 5x 11
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 3x 5x 11x 13 = 8580
Therefore, the value for common factors is 8580.
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 = 13582225800/(1x8580)
LCM = 13582225800/8580
LCM = 1583010
Thus, we can understand that the LCM of 902,351,390,110 is 1583010.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 902, 351, 390, 110?
Answer: LCM of 902, 351, 390, 110 is 1583010.
2. How to calculate the LCM of 902, 351, 390, 110?
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 902, 351, 390, 110.
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}.