LCM of 423, 513, 862, 684, 730
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 423, 513, 862, 684, 730 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 423, 513, 862, 684, 730. So, keep reading to learn more.
Given numbers are 423,513,862,684,730
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 423,513,862,684,730 is 15172087860.
Find LCM of 423,513,862,684,730 with Prime Factorization
| 2 | 423, 513, 862, 684, 730 |
| 3 | 423, 513, 431, 342, 365 |
| 3 | 141, 171, 431, 114, 365 |
| 19 | 47, 57, 431, 38, 365 |
| 47, 3, 431, 2, 365 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 19 x 47 x 3 x 431 x 2 x 365 = 15172087860
Therefore, the lowest common multiple of 423,513,862,684,730 is 15172087860.
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.
423 x 513 x 862 x 684 x 730 = 93399372866160
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.
423 : 1, 3, 9, 47, 141, 423
513 : 1, 3, 9, 19, 27, 57, 171, 513
862 : 1, 2, 431, 862
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
730 : 1, 2, 5, 10, 73, 146, 365, 730
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 423,513,862,684,730, is 1.
Now, the common factors can be found like this.
423:3x 3x 47
513:3x 3x 3x 19
862:2x 431
684:2x 2x 3x 3x 19
730:2x 5x 73
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 3x 3x 19 = 6156
Therefore, the value for common factors is 6156.
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 = 93399372866160/(1x6156)
LCM = 93399372866160/6156
LCM = 15172087860
Thus, we can understand that the LCM of 423,513,862,684,730 is 15172087860.
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FAQs on LCM of 423, 513, 862, 684, 730
1. What is the LCM of 423, 513, 862, 684, 730?
Answer: LCM of 423, 513, 862, 684, 730 is 15172087860.
2. How to calculate the LCM of 423, 513, 862, 684, 730?
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 423, 513, 862, 684, 730.
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}.