Find the LCM of 902, 473, 412, 402, 516 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, 473, 412, 402, 516. So, keep reading to learn more.
Given numbers are 902,473,412,402,516
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 902,473,412,402,516 is 1605973116.
Find LCM of 902,473,412,402,516 with Prime Factorization
2 | 902, 473, 412, 402, 516 |
2 | 451, 473, 206, 201, 258 |
3 | 451, 473, 103, 201, 129 |
11 | 451, 473, 103, 67, 43 |
43 | 41, 43, 103, 67, 43 |
41, 1, 103, 67, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 43 x 41 x 1 x 103 x 67 x 1 = 1605973116
Therefore, the lowest common multiple of 902,473,412,402,516 is 1605973116.
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 473 x 412 x 402 x 516 = 36462013625664
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
473 : 1, 11, 43, 473
412 : 1, 2, 4, 103, 206, 412
402 : 1, 2, 3, 6, 67, 134, 201, 402
516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 902,473,412,402,516, is 1.
Now, the common factors can be found like this.
902:2x 11x 41
473:11x 43
412:2x 2x 103
402:2x 3x 67
516:2x 2x 3x 43
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 3x 11x 43 = 22704
Therefore, the value for common factors is 22704.
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 = 36462013625664/(1x22704)
LCM = 36462013625664/22704
LCM = 1605973116
Thus, we can understand that the LCM of 902,473,412,402,516 is 1605973116.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 902, 473, 412, 402, 516?
Answer: LCM of 902, 473, 412, 402, 516 is 1605973116.
2. How to calculate the LCM of 902, 473, 412, 402, 516?
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, 473, 412, 402, 516.
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}.