Find the LCM of 156, 810, 336, 461, 924 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 156, 810, 336, 461, 924. So, keep reading to learn more.
Given numbers are 156,810,336,461,924
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 156,810,336,461,924 is 2990267280.
Find LCM of 156,810,336,461,924 with Prime Factorization
2 | 156, 810, 336, 461, 924 |
2 | 78, 405, 168, 461, 462 |
3 | 39, 405, 84, 461, 231 |
7 | 13, 135, 28, 461, 77 |
13, 135, 4, 461, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 13 x 135 x 4 x 461 x 11 = 2990267280
Therefore, the lowest common multiple of 156,810,336,461,924 is 2990267280.
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.
156 x 810 x 336 x 461 x 924 = 18085136509440
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.
156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
461 : 1, 461
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 156,810,336,461,924, is 1.
Now, the common factors can be found like this.
156:2x 2x 3x 13
810:2x 3x 3x 3x 3x 5
336:2x 2x 2x 2x 3x 7
461:461
924:2x 2x 3x 7x 11
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 2x 3x 3x 3x 7 = 6048
Therefore, the value for common factors is 6048.
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 = 18085136509440/(1x6048)
LCM = 18085136509440/6048
LCM = 2990267280
Thus, we can understand that the LCM of 156,810,336,461,924 is 2990267280.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 156, 810, 336, 461, 924?
Answer: LCM of 156, 810, 336, 461, 924 is 2990267280.
2. How to calculate the LCM of 156, 810, 336, 461, 924?
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 156, 810, 336, 461, 924.
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}.