LCM of 552, 880, 656, 398, 814
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 552, 880, 656, 398, 814 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 552, 880, 656, 398, 814. So, keep reading to learn more.
Given numbers are 552,880,656,398,814
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 552,880,656,398,814 is 18330335760.
Find LCM of 552,880,656,398,814 with Prime Factorization
| 2 | 552, 880, 656, 398, 814 |
| 2 | 276, 440, 328, 199, 407 |
| 2 | 138, 220, 164, 199, 407 |
| 2 | 69, 110, 82, 199, 407 |
| 11 | 69, 55, 41, 199, 407 |
| 69, 5, 41, 199, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 11 x 69 x 5 x 41 x 199 x 37 = 18330335760
Therefore, the lowest common multiple of 552,880,656,398,814 is 18330335760.
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.
552 x 880 x 656 x 398 x 814 = 103236451000320
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.
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656
398 : 1, 2, 199, 398
814 : 1, 2, 11, 22, 37, 74, 407, 814
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 552,880,656,398,814, is 2.
Now, the common factors can be found like this.
552:2x 2x 2x 3x 23
880:2x 2x 2x 2x 5x 11
656:2x 2x 2x 2x 41
398:2x 199
814:2x 11x 37
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 2x 11 = 2816
Therefore, the value for common factors is 2816.
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 = 103236451000320/(2x2816)
LCM = 103236451000320/5632
LCM = 18330335760
Thus, we can understand that the LCM of 552,880,656,398,814 is 18330335760.
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FAQs on LCM of 552, 880, 656, 398, 814
1. What is the LCM of 552, 880, 656, 398, 814?
Answer: LCM of 552, 880, 656, 398, 814 is 18330335760.
2. How to calculate the LCM of 552, 880, 656, 398, 814?
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 552, 880, 656, 398, 814.
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}.