Find the LCM of 634, 158, 869, 780 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 634, 158, 869, 780. So, keep reading to learn more.
Given numbers are 634,158,869,780
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 634,158,869,780 is 214868940.
Find LCM of 634,158,869,780 with Prime Factorization
2 | 634, 158, 869, 780 |
79 | 317, 79, 869, 390 |
317, 1, 11, 390 |
Multiply the prime numbers at the bottom and the left side.
2 x 79 x 317 x 1 x 11 x 390 = 214868940
Therefore, the lowest common multiple of 634,158,869,780 is 214868940.
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.
634 x 158 x 869 x 780 = 67898585040
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.
634 : 1, 2, 317, 634
158 : 1, 2, 79, 158
869 : 1, 11, 79, 869
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 634,158,869,780, is 1.
Now, the common factors can be found like this.
634:2x 317
158:2x 79
869:11x 79
780:2x 2x 3x 5x 13
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 79 = 316
Therefore, the value for common factors is 316.
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 = 67898585040/(1x316)
LCM = 67898585040/316
LCM = 214868940
Thus, we can understand that the LCM of 634,158,869,780 is 214868940.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 634, 158, 869, 780?
Answer: LCM of 634, 158, 869, 780 is 214868940.
2. How to calculate the LCM of 634, 158, 869, 780?
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 634, 158, 869, 780.
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}.