Find the LCM of 837, 349, 429, 738, 564 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, 349, 429, 738, 564. So, keep reading to learn more.
Given numbers are 837,349,429,738,564
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 837,349,429,738,564 is 321979801572.
Find LCM of 837,349,429,738,564 with Prime Factorization
2 | 837, 349, 429, 738, 564 |
3 | 837, 349, 429, 369, 282 |
3 | 279, 349, 143, 123, 94 |
93, 349, 143, 41, 94 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 93 x 349 x 143 x 41 x 94 = 321979801572
Therefore, the lowest common multiple of 837,349,429,738,564 is 321979801572.
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 349 x 429 x 738 x 564 = 52160727854664
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
349 : 1, 349
429 : 1, 3, 11, 13, 33, 39, 143, 429
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 837,349,429,738,564, is 1.
Now, the common factors can be found like this.
837:3x 3x 3x 31
349:349
429:3x 11x 13
738:2x 3x 3x 41
564:2x 2x 3x 47
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 3x 3x 3 = 162
Therefore, the value for common factors is 162.
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 = 52160727854664/(1x162)
LCM = 52160727854664/162
LCM = 321979801572
Thus, we can understand that the LCM of 837,349,429,738,564 is 321979801572.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 837, 349, 429, 738, 564?
Answer: LCM of 837, 349, 429, 738, 564 is 321979801572.
2. How to calculate the LCM of 837, 349, 429, 738, 564?
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, 349, 429, 738, 564.
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}.