Find the LCM of 600, 429, 728, 278, 901 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 600, 429, 728, 278, 901. So, keep reading to learn more.
Given numbers are 600,429,728,278,901
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 600,429,728,278,901 is 75218543400.
Find LCM of 600,429,728,278,901 with Prime Factorization
2 | 600, 429, 728, 278, 901 |
2 | 300, 429, 364, 139, 901 |
2 | 150, 429, 182, 139, 901 |
3 | 75, 429, 91, 139, 901 |
13 | 25, 143, 91, 139, 901 |
25, 11, 7, 139, 901 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 13 x 25 x 11 x 7 x 139 x 901 = 75218543400
Therefore, the lowest common multiple of 600,429,728,278,901 is 75218543400.
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.
600 x 429 x 728 x 278 x 901 = 46936371081600
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.
600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
429 : 1, 3, 11, 13, 33, 39, 143, 429
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
278 : 1, 2, 139, 278
901 : 1, 17, 53, 901
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 600,429,728,278,901, is 1.
Now, the common factors can be found like this.
600:2x 2x 2x 3x 5x 5
429:3x 11x 13
728:2x 2x 2x 7x 13
278:2x 139
901:17x 53
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 3x 13 = 624
Therefore, the value for common factors is 624.
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 = 46936371081600/(1x624)
LCM = 46936371081600/624
LCM = 75218543400
Thus, we can understand that the LCM of 600,429,728,278,901 is 75218543400.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 600, 429, 728, 278, 901?
Answer: LCM of 600, 429, 728, 278, 901 is 75218543400.
2. How to calculate the LCM of 600, 429, 728, 278, 901?
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 600, 429, 728, 278, 901.
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}.