Find the LCM of 670, 602, 163, 236, 413 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 670, 602, 163, 236, 413. So, keep reading to learn more.
Given numbers are 670,602,163,236,413
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 670,602,163,236,413 is 3878920780.
Find LCM of 670,602,163,236,413 with Prime Factorization
2 | 670, 602, 163, 236, 413 |
7 | 335, 301, 163, 118, 413 |
59 | 335, 43, 163, 118, 59 |
335, 43, 163, 2, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 59 x 335 x 43 x 163 x 2 x 1 = 3878920780
Therefore, the lowest common multiple of 670,602,163,236,413 is 3878920780.
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.
670 x 602 x 163 x 236 x 413 = 6407977128560
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.
670 : 1, 2, 5, 10, 67, 134, 335, 670
602 : 1, 2, 7, 14, 43, 86, 301, 602
163 : 1, 163
236 : 1, 2, 4, 59, 118, 236
413 : 1, 7, 59, 413
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 670,602,163,236,413, is 1.
Now, the common factors can be found like this.
670:2x 5x 67
602:2x 7x 43
163:163
236:2x 2x 59
413:7x 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 7x 59 = 1652
Therefore, the value for common factors is 1652.
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 = 6407977128560/(1x1652)
LCM = 6407977128560/1652
LCM = 3878920780
Thus, we can understand that the LCM of 670,602,163,236,413 is 3878920780.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 670, 602, 163, 236, 413?
Answer: LCM of 670, 602, 163, 236, 413 is 3878920780.
2. How to calculate the LCM of 670, 602, 163, 236, 413?
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 670, 602, 163, 236, 413.
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}.