LCM of 407, 351, 780, 812, 879
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 407, 351, 780, 812, 879 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 407, 351, 780, 812, 879. So, keep reading to learn more.
Given numbers are 407,351,780,812,879
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 407,351,780,812,879 is 169939830060.
Find LCM of 407,351,780,812,879 with Prime Factorization
| 2 | 407, 351, 780, 812, 879 |
| 2 | 407, 351, 390, 406, 879 |
| 3 | 407, 351, 195, 203, 879 |
| 13 | 407, 117, 65, 203, 293 |
| 407, 9, 5, 203, 293 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 407 x 9 x 5 x 203 x 293 = 169939830060
Therefore, the lowest common multiple of 407,351,780,812,879 is 169939830060.
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.
407 x 351 x 780 x 812 x 879 = 79531840468080
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.
407 : 1, 11, 37, 407
351 : 1, 3, 9, 13, 27, 39, 117, 351
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
879 : 1, 3, 293, 879
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 407,351,780,812,879, is 1.
Now, the common factors can be found like this.
407:11x 37
351:3x 3x 3x 13
780:2x 2x 3x 5x 13
812:2x 2x 7x 29
879:3x 293
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 3x 13 = 468
Therefore, the value for common factors is 468.
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 = 79531840468080/(1x468)
LCM = 79531840468080/468
LCM = 169939830060
Thus, we can understand that the LCM of 407,351,780,812,879 is 169939830060.
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FAQs on LCM of 407, 351, 780, 812, 879
1. What is the LCM of 407, 351, 780, 812, 879?
Answer: LCM of 407, 351, 780, 812, 879 is 169939830060.
2. How to calculate the LCM of 407, 351, 780, 812, 879?
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 407, 351, 780, 812, 879.
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}.