Find the LCM of 830, 323, 552, 924, 979 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 830, 323, 552, 924, 979. So, keep reading to learn more.
Given numbers are 830,323,552,924,979
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 830,323,552,924,979 is 507072932520.
Find LCM of 830,323,552,924,979 with Prime Factorization
2 | 830, 323, 552, 924, 979 |
2 | 415, 323, 276, 462, 979 |
3 | 415, 323, 138, 231, 979 |
11 | 415, 323, 46, 77, 979 |
415, 323, 46, 7, 89 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 415 x 323 x 46 x 7 x 89 = 507072932520
Therefore, the lowest common multiple of 830,323,552,924,979 is 507072932520.
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.
830 x 323 x 552 x 924 x 979 = 133867254185280
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.
830 : 1, 2, 5, 10, 83, 166, 415, 830
323 : 1, 17, 19, 323
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
979 : 1, 11, 89, 979
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 830,323,552,924,979, is 1.
Now, the common factors can be found like this.
830:2x 5x 83
323:17x 19
552:2x 2x 2x 3x 23
924:2x 2x 3x 7x 11
979:11x 89
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 3x 11 = 264
Therefore, the value for common factors is 264.
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 = 133867254185280/(1x264)
LCM = 133867254185280/264
LCM = 507072932520
Thus, we can understand that the LCM of 830,323,552,924,979 is 507072932520.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 830, 323, 552, 924, 979?
Answer: LCM of 830, 323, 552, 924, 979 is 507072932520.
2. How to calculate the LCM of 830, 323, 552, 924, 979?
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 830, 323, 552, 924, 979.
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}.