LCM of 836, 216, 908, 649, 476
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 836, 216, 908, 649, 476 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 836, 216, 908, 649, 476. So, keep reading to learn more.
Given numbers are 836,216,908,649,476
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 836,216,908,649,476 is 71949017448.
Find LCM of 836,216,908,649,476 with Prime Factorization
| 2 | 836, 216, 908, 649, 476 |
| 2 | 418, 108, 454, 649, 238 |
| 11 | 209, 54, 227, 649, 119 |
| 19, 54, 227, 59, 119 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 19 x 54 x 227 x 59 x 119 = 71949017448
Therefore, the lowest common multiple of 836,216,908,649,476 is 71949017448.
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.
836 x 216 x 908 x 649 x 476 = 50652108283392
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.
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
908 : 1, 2, 4, 227, 454, 908
649 : 1, 11, 59, 649
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 836,216,908,649,476, is 1.
Now, the common factors can be found like this.
836:2x 2x 11x 19
216:2x 2x 2x 3x 3x 3
908:2x 2x 227
649:11x 59
476:2x 2x 7x 17
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 11 = 704
Therefore, the value for common factors is 704.
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 = 50652108283392/(1x704)
LCM = 50652108283392/704
LCM = 71949017448
Thus, we can understand that the LCM of 836,216,908,649,476 is 71949017448.
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FAQs on LCM of 836, 216, 908, 649, 476
1. What is the LCM of 836, 216, 908, 649, 476?
Answer: LCM of 836, 216, 908, 649, 476 is 71949017448.
2. How to calculate the LCM of 836, 216, 908, 649, 476?
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 836, 216, 908, 649, 476.
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}.