LCM of 811, 943, 861, 552, 628
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 811, 943, 861, 552, 628 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 811, 943, 861, 552, 628. So, keep reading to learn more.
Given numbers are 811,943,861,552,628
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 811,943,861,552,628 is 20171652648.
Find LCM of 811,943,861,552,628 with Prime Factorization
| 2 | 811, 943, 861, 552, 628 |
| 2 | 811, 943, 861, 276, 314 |
| 3 | 811, 943, 861, 138, 157 |
| 23 | 811, 943, 287, 46, 157 |
| 41 | 811, 41, 287, 2, 157 |
| 811, 1, 7, 2, 157 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 23 x 41 x 811 x 1 x 7 x 2 x 157 = 20171652648
Therefore, the lowest common multiple of 811,943,861,552,628 is 20171652648.
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.
811 x 943 x 861 x 552 x 628 = 228262421364768
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.
811 : 1, 811
943 : 1, 23, 41, 943
861 : 1, 3, 7, 21, 41, 123, 287, 861
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
628 : 1, 2, 4, 157, 314, 628
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 811,943,861,552,628, is 1.
Now, the common factors can be found like this.
811:811
943:23x 41
861:3x 7x 41
552:2x 2x 2x 3x 23
628:2x 2x 157
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 3x 23x 41 = 11316
Therefore, the value for common factors is 11316.
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 = 228262421364768/(1x11316)
LCM = 228262421364768/11316
LCM = 20171652648
Thus, we can understand that the LCM of 811,943,861,552,628 is 20171652648.
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FAQs on LCM of 811, 943, 861, 552, 628
1. What is the LCM of 811, 943, 861, 552, 628?
Answer: LCM of 811, 943, 861, 552, 628 is 20171652648.
2. How to calculate the LCM of 811, 943, 861, 552, 628?
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 811, 943, 861, 552, 628.
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}.