LCM of 812, 726, 299, 405, 708
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 812, 726, 299, 405, 708 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, 726, 299, 405, 708. So, keep reading to learn more.
Given numbers are 812,726,299,405,708
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 812,726,299,405,708 is 701971730460.
Find LCM of 812,726,299,405,708 with Prime Factorization
| 2 | 812, 726, 299, 405, 708 |
| 2 | 406, 363, 299, 405, 354 |
| 3 | 203, 363, 299, 405, 177 |
| 203, 121, 299, 135, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 203 x 121 x 299 x 135 x 59 = 701971730460
Therefore, the lowest common multiple of 812,726,299,405,708 is 701971730460.
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 726 x 299 x 405 x 708 = 50541964593120
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
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
299 : 1, 13, 23, 299
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 812,726,299,405,708, is 1.
Now, the common factors can be found like this.
812:2x 2x 7x 29
726:2x 3x 11x 11
299:13x 23
405:3x 3x 3x 3x 5
708:2x 2x 3x 59
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 3x 3 = 72
Therefore, the value for common factors is 72.
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 = 50541964593120/(1x72)
LCM = 50541964593120/72
LCM = 701971730460
Thus, we can understand that the LCM of 812,726,299,405,708 is 701971730460.
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FAQs on LCM of 812, 726, 299, 405, 708
1. What is the LCM of 812, 726, 299, 405, 708?
Answer: LCM of 812, 726, 299, 405, 708 is 701971730460.
2. How to calculate the LCM of 812, 726, 299, 405, 708?
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, 726, 299, 405, 708.
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}.