Find the LCM of 136, 488, 572, 828, 646 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 136, 488, 572, 828, 646. So, keep reading to learn more.
Given numbers are 136,488,572,828,646
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 136,488,572,828,646 is 4665828024.
Find LCM of 136,488,572,828,646 with Prime Factorization
2 | 136, 488, 572, 828, 646 |
2 | 68, 244, 286, 414, 323 |
2 | 34, 122, 143, 207, 323 |
17 | 17, 61, 143, 207, 323 |
1, 61, 143, 207, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 17 x 1 x 61 x 143 x 207 x 19 = 4665828024
Therefore, the lowest common multiple of 136,488,572,828,646 is 4665828024.
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.
136 x 488 x 572 x 828 x 646 = 20305683560448
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.
136 : 1, 2, 4, 8, 17, 34, 68, 136
488 : 1, 2, 4, 8, 61, 122, 244, 488
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
646 : 1, 2, 17, 19, 34, 38, 323, 646
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 136,488,572,828,646, is 2.
Now, the common factors can be found like this.
136:2x 2x 2x 17
488:2x 2x 2x 61
572:2x 2x 11x 13
828:2x 2x 3x 3x 23
646:2x 17x 19
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 2x 2x 2x 2x 17 = 2176
Therefore, the value for common factors is 2176.
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 = 20305683560448/(2x2176)
LCM = 20305683560448/4352
LCM = 4665828024
Thus, we can understand that the LCM of 136,488,572,828,646 is 4665828024.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 136, 488, 572, 828, 646?
Answer: LCM of 136, 488, 572, 828, 646 is 4665828024.
2. How to calculate the LCM of 136, 488, 572, 828, 646?
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 136, 488, 572, 828, 646.
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}.