Find the LCM of 368, 821, 515, 360, 676 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 368, 821, 515, 360, 676. So, keep reading to learn more.
Given numbers are 368,821,515,360,676
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 368,821,515,360,676 is 236661394320.
Find LCM of 368,821,515,360,676 with Prime Factorization
2 | 368, 821, 515, 360, 676 |
2 | 184, 821, 515, 180, 338 |
2 | 92, 821, 515, 90, 169 |
5 | 46, 821, 515, 45, 169 |
46, 821, 103, 9, 169 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 46 x 821 x 103 x 9 x 169 = 236661394320
Therefore, the lowest common multiple of 368,821,515,360,676 is 236661394320.
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.
368 x 821 x 515 x 360 x 676 = 37865823091200
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.
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
821 : 1, 821
515 : 1, 5, 103, 515
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 368,821,515,360,676, is 1.
Now, the common factors can be found like this.
368:2x 2x 2x 2x 23
821:821
515:5x 103
360:2x 2x 2x 3x 3x 5
676:2x 2x 13x 13
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 5 = 160
Therefore, the value for common factors is 160.
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 = 37865823091200/(1x160)
LCM = 37865823091200/160
LCM = 236661394320
Thus, we can understand that the LCM of 368,821,515,360,676 is 236661394320.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 368, 821, 515, 360, 676?
Answer: LCM of 368, 821, 515, 360, 676 is 236661394320.
2. How to calculate the LCM of 368, 821, 515, 360, 676?
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 368, 821, 515, 360, 676.
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}.