Find the LCM of 416, 671, 767, 337 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 416, 671, 767, 337. So, keep reading to learn more.
Given numbers are 416,671,767,337
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 416,671,767,337 is 5550061088.
Find LCM of 416,671,767,337 with Prime Factorization
13 | 416, 671, 767, 337 |
32, 671, 59, 337 |
Multiply the prime numbers at the bottom and the left side.
13 x 32 x 671 x 59 x 337 = 5550061088
Therefore, the lowest common multiple of 416,671,767,337 is 5550061088.
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.
416 x 671 x 767 x 337 = 72150794144
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.
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
671 : 1, 11, 61, 671
767 : 1, 13, 59, 767
337 : 1, 337
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 416,671,767,337, is 1.
Now, the common factors can be found like this.
416:2x 2x 2x 2x 2x 13
671:11x 61
767:13x 59
337:337
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13 = 13
Therefore, the value for common factors is 13.
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 = 72150794144/(1x13)
LCM = 72150794144/13
LCM = 5550061088
Thus, we can understand that the LCM of 416,671,767,337 is 5550061088.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 416, 671, 767, 337?
Answer: LCM of 416, 671, 767, 337 is 5550061088.
2. How to calculate the LCM of 416, 671, 767, 337?
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 416, 671, 767, 337.
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}.