Find the LCM of 837, 155, 420, 266, 785 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 837, 155, 420, 266, 785. So, keep reading to learn more.
Given numbers are 837,155,420,266,785
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 837,155,420,266,785 is 349547940.
Find LCM of 837,155,420,266,785 with Prime Factorization
2 | 837, 155, 420, 266, 785 |
3 | 837, 155, 210, 133, 785 |
5 | 279, 155, 70, 133, 785 |
7 | 279, 31, 14, 133, 157 |
31 | 279, 31, 2, 19, 157 |
9, 1, 2, 19, 157 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 31 x 9 x 1 x 2 x 19 x 157 = 349547940
Therefore, the lowest common multiple of 837,155,420,266,785 is 349547940.
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.
837 x 155 x 420 x 266 x 785 = 11377785447000
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.
837 : 1, 3, 9, 27, 31, 93, 279, 837
155 : 1, 5, 31, 155
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
266 : 1, 2, 7, 14, 19, 38, 133, 266
785 : 1, 5, 157, 785
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 837,155,420,266,785, is 1.
Now, the common factors can be found like this.
837:3x 3x 3x 31
155:5x 31
420:2x 2x 3x 5x 7
266:2x 7x 19
785:5x 157
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 5x 5x 7x 31 = 32550
Therefore, the value for common factors is 32550.
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 = 11377785447000/(1x32550)
LCM = 11377785447000/32550
LCM = 349547940
Thus, we can understand that the LCM of 837,155,420,266,785 is 349547940.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 837, 155, 420, 266, 785?
Answer: LCM of 837, 155, 420, 266, 785 is 349547940.
2. How to calculate the LCM of 837, 155, 420, 266, 785?
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 837, 155, 420, 266, 785.
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}.