Find the LCM of 402, 351, 494, 620, 985 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 402, 351, 494, 620, 985. So, keep reading to learn more.
Given numbers are 402,351,494,620,985
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 402,351,494,620,985 is 54574961220.
Find LCM of 402,351,494,620,985 with Prime Factorization
2 | 402, 351, 494, 620, 985 |
3 | 201, 351, 247, 310, 985 |
5 | 67, 117, 247, 310, 985 |
13 | 67, 117, 247, 62, 197 |
67, 9, 19, 62, 197 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 13 x 67 x 9 x 19 x 62 x 197 = 54574961220
Therefore, the lowest common multiple of 402,351,494,620,985 is 54574961220.
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.
402 x 351 x 494 x 620 x 985 = 42568469751600
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.
402 : 1, 2, 3, 6, 67, 134, 201, 402
351 : 1, 3, 9, 13, 27, 39, 117, 351
494 : 1, 2, 13, 19, 26, 38, 247, 494
620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
985 : 1, 5, 197, 985
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 402,351,494,620,985, is 1.
Now, the common factors can be found like this.
402:2x 3x 67
351:3x 3x 3x 13
494:2x 13x 19
620:2x 2x 5x 31
985:5x 197
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 13 = 780
Therefore, the value for common factors is 780.
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 = 42568469751600/(1x780)
LCM = 42568469751600/780
LCM = 54574961220
Thus, we can understand that the LCM of 402,351,494,620,985 is 54574961220.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 402, 351, 494, 620, 985?
Answer: LCM of 402, 351, 494, 620, 985 is 54574961220.
2. How to calculate the LCM of 402, 351, 494, 620, 985?
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 402, 351, 494, 620, 985.
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}.