LCM of 246, 117, 806, 820
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 246, 117, 806, 820 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 246, 117, 806, 820. So, keep reading to learn more.
Given numbers are 246,117,806,820
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 246,117,806,820 is 2974140.
Find LCM of 246,117,806,820 with Prime Factorization
| 2 | 246, 117, 806, 820 |
| 3 | 123, 117, 403, 410 |
| 13 | 41, 39, 403, 410 |
| 41 | 41, 3, 31, 410 |
| 1, 3, 31, 10 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 41 x 1 x 3 x 31 x 10 = 2974140
Therefore, the lowest common multiple of 246,117,806,820 is 2974140.
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.
246 x 117 x 806 x 820 = 19022599440
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.
246 : 1, 2, 3, 6, 41, 82, 123, 246
117 : 1, 3, 9, 13, 39, 117
806 : 1, 2, 13, 26, 31, 62, 403, 806
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 246,117,806,820, is 1.
Now, the common factors can be found like this.
246:2x 3x 41
117:3x 3x 13
806:2x 13x 31
820:2x 2x 5x 41
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 13x 41 = 6396
Therefore, the value for common factors is 6396.
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 = 19022599440/(1x6396)
LCM = 19022599440/6396
LCM = 2974140
Thus, we can understand that the LCM of 246,117,806,820 is 2974140.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 246, 117, 806, 820
1. What is the LCM of 246, 117, 806, 820?
Answer: LCM of 246, 117, 806, 820 is 2974140.
2. How to calculate the LCM of 246, 117, 806, 820?
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 246, 117, 806, 820.
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}.