LCM of 649, 913, 646, 156, 357
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 649, 913, 646, 156, 357 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 649, 913, 646, 156, 357. So, keep reading to learn more.
Given numbers are 649,913,646,156,357
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 649,913,646,156,357 is 18999752772.
Find LCM of 649,913,646,156,357 with Prime Factorization
| 2 | 649, 913, 646, 156, 357 |
| 3 | 649, 913, 323, 78, 357 |
| 11 | 649, 913, 323, 26, 119 |
| 17 | 59, 83, 323, 26, 119 |
| 59, 83, 19, 26, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 17 x 59 x 83 x 19 x 26 x 7 = 18999752772
Therefore, the lowest common multiple of 649,913,646,156,357 is 18999752772.
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.
649 x 913 x 646 x 156 x 357 = 21317722610184
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.
649 : 1, 11, 59, 649
913 : 1, 11, 83, 913
646 : 1, 2, 17, 19, 34, 38, 323, 646
156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
357 : 1, 3, 7, 17, 21, 51, 119, 357
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 649,913,646,156,357, is 1.
Now, the common factors can be found like this.
649:11x 59
913:11x 83
646:2x 17x 19
156:2x 2x 3x 13
357:3x 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 3x 11x 17 = 1122
Therefore, the value for common factors is 1122.
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 = 21317722610184/(1x1122)
LCM = 21317722610184/1122
LCM = 18999752772
Thus, we can understand that the LCM of 649,913,646,156,357 is 18999752772.
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FAQs on LCM of 649, 913, 646, 156, 357
1. What is the LCM of 649, 913, 646, 156, 357?
Answer: LCM of 649, 913, 646, 156, 357 is 18999752772.
2. How to calculate the LCM of 649, 913, 646, 156, 357?
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 649, 913, 646, 156, 357.
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}.