Find the LCM of 357, 463, 502, 880, 334 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 357, 463, 502, 880, 334. So, keep reading to learn more.
Given numbers are 357,463,502,880,334
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 357,463,502,880,334 is 6097082505360.
Find LCM of 357,463,502,880,334 with Prime Factorization
2 | 357, 463, 502, 880, 334 |
357, 463, 251, 440, 167 |
Multiply the prime numbers at the bottom and the left side.
2 x 357 x 463 x 251 x 440 x 167 = 6097082505360
Therefore, the lowest common multiple of 357,463,502,880,334 is 6097082505360.
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.
357 x 463 x 502 x 880 x 334 = 24388330021440
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.
357 : 1, 3, 7, 17, 21, 51, 119, 357
463 : 1, 463
502 : 1, 2, 251, 502
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
334 : 1, 2, 167, 334
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 357,463,502,880,334, is 1.
Now, the common factors can be found like this.
357:3x 7x 17
463:463
502:2x 251
880:2x 2x 2x 2x 5x 11
334:2x 167
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 24388330021440/(1x4)
LCM = 24388330021440/4
LCM = 6097082505360
Thus, we can understand that the LCM of 357,463,502,880,334 is 6097082505360.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 357, 463, 502, 880, 334?
Answer: LCM of 357, 463, 502, 880, 334 is 6097082505360.
2. How to calculate the LCM of 357, 463, 502, 880, 334?
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 357, 463, 502, 880, 334.
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}.