Find the LCM of 365, 219, 859, 780, 832 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 365, 219, 859, 780, 832. So, keep reading to learn more.
Given numbers are 365,219,859,780,832
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 365,219,859,780,832 is 782583360.
Find LCM of 365,219,859,780,832 with Prime Factorization
2 | 365, 219, 859, 780, 832 |
2 | 365, 219, 859, 390, 416 |
3 | 365, 219, 859, 195, 208 |
5 | 365, 73, 859, 65, 208 |
13 | 73, 73, 859, 13, 208 |
73 | 73, 73, 859, 1, 16 |
1, 1, 859, 1, 16 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 13 x 73 x 1 x 1 x 859 x 1 x 16 = 782583360
Therefore, the lowest common multiple of 365,219,859,780,832 is 782583360.
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.
365 x 219 x 859 x 780 x 832 = 44560296518400
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.
365 : 1, 5, 73, 365
219 : 1, 3, 73, 219
859 : 1, 859
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
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 365,219,859,780,832, is 1.
Now, the common factors can be found like this.
365:5x 73
219:3x 73
859:859
780:2x 2x 3x 5x 13
832:2x 2x 2x 2x 2x 2x 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 3x 5x 13x 73 = 56940
Therefore, the value for common factors is 56940.
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 = 44560296518400/(1x56940)
LCM = 44560296518400/56940
LCM = 782583360
Thus, we can understand that the LCM of 365,219,859,780,832 is 782583360.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 365, 219, 859, 780, 832?
Answer: LCM of 365, 219, 859, 780, 832 is 782583360.
2. How to calculate the LCM of 365, 219, 859, 780, 832?
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 365, 219, 859, 780, 832.
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}.