Find the LCM of 402, 565, 280, 962, 377 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, 565, 280, 962, 377. So, keep reading to learn more.
Given numbers are 402,565,280,962,377
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 402,565,280,962,377 is 88710618360.
Find LCM of 402,565,280,962,377 with Prime Factorization
2 | 402, 565, 280, 962, 377 |
5 | 201, 565, 140, 481, 377 |
13 | 201, 113, 28, 481, 377 |
201, 113, 28, 37, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 13 x 201 x 113 x 28 x 37 x 29 = 88710618360
Therefore, the lowest common multiple of 402,565,280,962,377 is 88710618360.
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 565 x 280 x 962 x 377 = 23064760773600
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
565 : 1, 5, 113, 565
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
962 : 1, 2, 13, 26, 37, 74, 481, 962
377 : 1, 13, 29, 377
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 402,565,280,962,377, is 1.
Now, the common factors can be found like this.
402:2x 3x 67
565:5x 113
280:2x 2x 2x 5x 7
962:2x 13x 37
377:13x 29
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 5x 13 = 260
Therefore, the value for common factors is 260.
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 = 23064760773600/(1x260)
LCM = 23064760773600/260
LCM = 88710618360
Thus, we can understand that the LCM of 402,565,280,962,377 is 88710618360.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 402, 565, 280, 962, 377?
Answer: LCM of 402, 565, 280, 962, 377 is 88710618360.
2. How to calculate the LCM of 402, 565, 280, 962, 377?
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, 565, 280, 962, 377.
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}.