Find the LCM of 782, 437, 321, 528, 467 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, 437, 321, 528, 467. So, keep reading to learn more.
Given numbers are 782,437,321,528,467
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 782,437,321,528,467 is 196004002128.
Find LCM of 782,437,321,528,467 with Prime Factorization
2 | 782, 437, 321, 528, 467 |
3 | 391, 437, 321, 264, 467 |
23 | 391, 437, 107, 88, 467 |
17, 19, 107, 88, 467 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 17 x 19 x 107 x 88 x 467 = 196004002128
Therefore, the lowest common multiple of 782,437,321,528,467 is 196004002128.
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 437 x 321 x 528 x 467 = 27048552293664
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
437 : 1, 19, 23, 437
321 : 1, 3, 107, 321
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
467 : 1, 467
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 782,437,321,528,467, is 1.
Now, the common factors can be found like this.
782:2x 17x 23
437:19x 23
321:3x 107
528:2x 2x 2x 2x 3x 11
467:467
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 23 = 138
Therefore, the value for common factors is 138.
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 = 27048552293664/(1x138)
LCM = 27048552293664/138
LCM = 196004002128
Thus, we can understand that the LCM of 782,437,321,528,467 is 196004002128.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 782, 437, 321, 528, 467?
Answer: LCM of 782, 437, 321, 528, 467 is 196004002128.
2. How to calculate the LCM of 782, 437, 321, 528, 467?
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, 437, 321, 528, 467.
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}.