Find the LCM of 493, 628, 391, 544 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 493, 628, 391, 544. So, keep reading to learn more.
Given numbers are 493,628,391,544
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 493,628,391,544 is 56967136.
Find LCM of 493,628,391,544 with Prime Factorization
2 | 493, 628, 391, 544 |
2 | 493, 314, 391, 272 |
17 | 493, 157, 391, 136 |
29, 157, 23, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 17 x 29 x 157 x 23 x 8 = 56967136
Therefore, the lowest common multiple of 493,628,391,544 is 56967136.
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.
493 x 628 x 391 x 544 = 65854009216
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.
493 : 1, 17, 29, 493
628 : 1, 2, 4, 157, 314, 628
391 : 1, 17, 23, 391
544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 493,628,391,544, is 1.
Now, the common factors can be found like this.
493:17x 29
628:2x 2x 157
391:17x 23
544:2x 2x 2x 2x 2x 17
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 17x 17 = 1156
Therefore, the value for common factors is 1156.
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 = 65854009216/(1x1156)
LCM = 65854009216/1156
LCM = 56967136
Thus, we can understand that the LCM of 493,628,391,544 is 56967136.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 493, 628, 391, 544?
Answer: LCM of 493, 628, 391, 544 is 56967136.
2. How to calculate the LCM of 493, 628, 391, 544?
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 493, 628, 391, 544.
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}.