Find the LCM of 442, 166, 506, 930, 767 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 442, 166, 506, 930, 767. So, keep reading to learn more.
Given numbers are 442,166,506,930,767
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 442,166,506,930,767 is 254639543730.
Find LCM of 442,166,506,930,767 with Prime Factorization
2 | 442, 166, 506, 930, 767 |
13 | 221, 83, 253, 465, 767 |
17, 83, 253, 465, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 17 x 83 x 253 x 465 x 59 = 254639543730
Therefore, the lowest common multiple of 442,166,506,930,767 is 254639543730.
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.
442 x 166 x 506 x 930 x 767 = 26482512547920
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.
442 : 1, 2, 13, 17, 26, 34, 221, 442
166 : 1, 2, 83, 166
506 : 1, 2, 11, 22, 23, 46, 253, 506
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
767 : 1, 13, 59, 767
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 442,166,506,930,767, is 1.
Now, the common factors can be found like this.
442:2x 13x 17
166:2x 83
506:2x 11x 23
930:2x 3x 5x 31
767:13x 59
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 13 = 104
Therefore, the value for common factors is 104.
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 = 26482512547920/(1x104)
LCM = 26482512547920/104
LCM = 254639543730
Thus, we can understand that the LCM of 442,166,506,930,767 is 254639543730.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 442, 166, 506, 930, 767?
Answer: LCM of 442, 166, 506, 930, 767 is 254639543730.
2. How to calculate the LCM of 442, 166, 506, 930, 767?
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 442, 166, 506, 930, 767.
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}.