LCM of 812, 329, 253, 864, 707
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 812, 329, 253, 864, 707 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 812, 329, 253, 864, 707. So, keep reading to learn more.
Given numbers are 812,329,253,864,707
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 812,329,253,864,707 is 210644213472.
Find LCM of 812,329,253,864,707 with Prime Factorization
| 2 | 812, 329, 253, 864, 707 |
| 2 | 406, 329, 253, 432, 707 |
| 7 | 203, 329, 253, 216, 707 |
| 29, 47, 253, 216, 101 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 29 x 47 x 253 x 216 x 101 = 210644213472
Therefore, the lowest common multiple of 812,329,253,864,707 is 210644213472.
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.
812 x 329 x 253 x 864 x 707 = 41286265840512
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.
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
329 : 1, 7, 47, 329
253 : 1, 11, 23, 253
864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
707 : 1, 7, 101, 707
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 812,329,253,864,707, is 1.
Now, the common factors can be found like this.
812:2x 2x 7x 29
329:7x 47
253:11x 23
864:2x 2x 2x 2x 2x 3x 3x 3
707:7x 101
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 7x 7 = 196
Therefore, the value for common factors is 196.
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 = 41286265840512/(1x196)
LCM = 41286265840512/196
LCM = 210644213472
Thus, we can understand that the LCM of 812,329,253,864,707 is 210644213472.
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FAQs on LCM of 812, 329, 253, 864, 707
1. What is the LCM of 812, 329, 253, 864, 707?
Answer: LCM of 812, 329, 253, 864, 707 is 210644213472.
2. How to calculate the LCM of 812, 329, 253, 864, 707?
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 812, 329, 253, 864, 707.
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}.