LCM of 811, 770, 656, 420, 883
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 811, 770, 656, 420, 883 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, 770, 656, 420, 883. So, keep reading to learn more.
Given numbers are 811,770,656,420,883
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 811,770,656,420,883 is 542584497840.
Find LCM of 811,770,656,420,883 with Prime Factorization
| 2 | 811, 770, 656, 420, 883 |
| 2 | 811, 385, 328, 210, 883 |
| 5 | 811, 385, 164, 105, 883 |
| 7 | 811, 77, 164, 21, 883 |
| 811, 11, 164, 3, 883 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 811 x 11 x 164 x 3 x 883 = 542584497840
Therefore, the lowest common multiple of 811,770,656,420,883 is 542584497840.
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 770 x 656 x 420 x 883 = 151923659395200
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
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
883 : 1, 883
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 811,770,656,420,883, is 1.
Now, the common factors can be found like this.
811:811
770:2x 5x 7x 11
656:2x 2x 2x 2x 41
420:2x 2x 3x 5x 7
883:883
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 5x 7 = 280
Therefore, the value for common factors is 280.
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 = 151923659395200/(1x280)
LCM = 151923659395200/280
LCM = 542584497840
Thus, we can understand that the LCM of 811,770,656,420,883 is 542584497840.
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FAQs on LCM of 811, 770, 656, 420, 883
1. What is the LCM of 811, 770, 656, 420, 883?
Answer: LCM of 811, 770, 656, 420, 883 is 542584497840.
2. How to calculate the LCM of 811, 770, 656, 420, 883?
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, 770, 656, 420, 883.
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}.