Find the LCM of 782, 684, 728, 437 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 782, 684, 728, 437. So, keep reading to learn more.
Given numbers are 782,684,728,437
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 782,684,728,437 is 48674808.
Find LCM of 782,684,728,437 with Prime Factorization
2 | 782, 684, 728, 437 |
2 | 391, 342, 364, 437 |
19 | 391, 171, 182, 437 |
23 | 391, 9, 182, 23 |
17, 9, 182, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 19 x 23 x 17 x 9 x 182 x 1 = 48674808
Therefore, the lowest common multiple of 782,684,728,437 is 48674808.
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.
782 x 684 x 728 x 437 = 170167128768
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.
782 : 1, 2, 17, 23, 34, 46, 391, 782
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
437 : 1, 19, 23, 437
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 782,684,728,437, is 1.
Now, the common factors can be found like this.
782:2x 17x 23
684:2x 2x 3x 3x 19
728:2x 2x 2x 7x 13
437:19x 23
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 19x 23 = 3496
Therefore, the value for common factors is 3496.
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 = 170167128768/(1x3496)
LCM = 170167128768/3496
LCM = 48674808
Thus, we can understand that the LCM of 782,684,728,437 is 48674808.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 782, 684, 728, 437?
Answer: LCM of 782, 684, 728, 437 is 48674808.
2. How to calculate the LCM of 782, 684, 728, 437?
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 782, 684, 728, 437.
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}.