Find the LCM of 377, 493, 476, 109, 558 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 377, 493, 476, 109, 558. So, keep reading to learn more.
Given numbers are 377,493,476,109,558
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 377,493,476,109,558 is 5457314772.
Find LCM of 377,493,476,109,558 with Prime Factorization
2 | 377, 493, 476, 109, 558 |
17 | 377, 493, 238, 109, 279 |
29 | 377, 29, 14, 109, 279 |
13, 1, 14, 109, 279 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 29 x 13 x 1 x 14 x 109 x 279 = 5457314772
Therefore, the lowest common multiple of 377,493,476,109,558 is 5457314772.
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.
377 x 493 x 476 x 109 x 558 = 5380912365192
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.
377 : 1, 13, 29, 377
493 : 1, 17, 29, 493
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
109 : 1, 109
558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 377,493,476,109,558, is 1.
Now, the common factors can be found like this.
377:13x 29
493:17x 29
476:2x 2x 7x 17
109:109
558:2x 3x 3x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 17x 29 = 986
Therefore, the value for common factors is 986.
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 = 5380912365192/(1x986)
LCM = 5380912365192/986
LCM = 5457314772
Thus, we can understand that the LCM of 377,493,476,109,558 is 5457314772.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 377, 493, 476, 109, 558?
Answer: LCM of 377, 493, 476, 109, 558 is 5457314772.
2. How to calculate the LCM of 377, 493, 476, 109, 558?
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 377, 493, 476, 109, 558.
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}.