Find the LCM of 378, 518, 377, 855, 513 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 378, 518, 377, 855, 513. So, keep reading to learn more.
Given numbers are 378,518,377,855,513
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 378,518,377,855,513 is 500908590.
Find LCM of 378,518,377,855,513 with Prime Factorization
2 | 378, 518, 377, 855, 513 |
3 | 189, 259, 377, 855, 513 |
3 | 63, 259, 377, 285, 171 |
3 | 21, 259, 377, 95, 57 |
7 | 7, 259, 377, 95, 19 |
19 | 1, 37, 377, 95, 19 |
1, 37, 377, 5, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 7 x 19 x 1 x 37 x 377 x 5 x 1 = 500908590
Therefore, the lowest common multiple of 378,518,377,855,513 is 500908590.
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.
378 x 518 x 377 x 855 x 513 = 32377729440420
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.
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
518 : 1, 2, 7, 14, 37, 74, 259, 518
377 : 1, 13, 29, 377
855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
513 : 1, 3, 9, 19, 27, 57, 171, 513
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 378,518,377,855,513, is 1.
Now, the common factors can be found like this.
378:2x 3x 3x 3x 7
518:2x 7x 37
377:13x 29
855:3x 3x 5x 19
513:3x 3x 3x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 3x 3x 7x 19 = 64638
Therefore, the value for common factors is 64638.
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 = 32377729440420/(1x64638)
LCM = 32377729440420/64638
LCM = 500908590
Thus, we can understand that the LCM of 378,518,377,855,513 is 500908590.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 378, 518, 377, 855, 513?
Answer: LCM of 378, 518, 377, 855, 513 is 500908590.
2. How to calculate the LCM of 378, 518, 377, 855, 513?
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 378, 518, 377, 855, 513.
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}.