Find the LCM of 377, 620, 476, 812 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, 620, 476, 812. So, keep reading to learn more.
Given numbers are 377,620,476,812
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 377,620,476,812 is 27815060.
Find LCM of 377,620,476,812 with Prime Factorization
2 | 377, 620, 476, 812 |
2 | 377, 310, 238, 406 |
7 | 377, 155, 119, 203 |
29 | 377, 155, 17, 29 |
13, 155, 17, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 29 x 13 x 155 x 17 x 1 = 27815060
Therefore, the lowest common multiple of 377,620,476,812 is 27815060.
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 620 x 476 x 812 = 90343314880
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
620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 377,620,476,812, is 1.
Now, the common factors can be found like this.
377:13x 29
620:2x 2x 5x 31
476:2x 2x 7x 17
812:2x 2x 7x 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 2x 2x 7x 29 = 3248
Therefore, the value for common factors is 3248.
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 = 90343314880/(1x3248)
LCM = 90343314880/3248
LCM = 27815060
Thus, we can understand that the LCM of 377,620,476,812 is 27815060.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 377, 620, 476, 812?
Answer: LCM of 377, 620, 476, 812 is 27815060.
2. How to calculate the LCM of 377, 620, 476, 812?
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, 620, 476, 812.
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}.