LCM of 572, 844, 994, 814, 640
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 572, 844, 994, 814, 640 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 572, 844, 994, 814, 640. So, keep reading to learn more.
Given numbers are 572,844,994,814,640
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 572,844,994,814,640 is 355104830080.
Find LCM of 572,844,994,814,640 with Prime Factorization
| 2 | 572, 844, 994, 814, 640 |
| 2 | 286, 422, 497, 407, 320 |
| 11 | 143, 211, 497, 407, 160 |
| 13, 211, 497, 37, 160 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 13 x 211 x 497 x 37 x 160 = 355104830080
Therefore, the lowest common multiple of 572,844,994,814,640 is 355104830080.
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.
572 x 844 x 994 x 814 x 640 = 249993800376320
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.
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
844 : 1, 2, 4, 211, 422, 844
994 : 1, 2, 7, 14, 71, 142, 497, 994
814 : 1, 2, 11, 22, 37, 74, 407, 814
640 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 572,844,994,814,640, is 2.
Now, the common factors can be found like this.
572:2x 2x 11x 13
844:2x 2x 211
994:2x 7x 71
814:2x 11x 37
640:2x 2x 2x 2x 2x 2x 2x 5
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 11 = 352
Therefore, the value for common factors is 352.
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 = 249993800376320/(2x352)
LCM = 249993800376320/704
LCM = 355104830080
Thus, we can understand that the LCM of 572,844,994,814,640 is 355104830080.
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FAQs on LCM of 572, 844, 994, 814, 640
1. What is the LCM of 572, 844, 994, 814, 640?
Answer: LCM of 572, 844, 994, 814, 640 is 355104830080.
2. How to calculate the LCM of 572, 844, 994, 814, 640?
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 572, 844, 994, 814, 640.
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}.