LCM of 219, 423, 799, 930, 423
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 219, 423, 799, 930, 423 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 219, 423, 799, 930, 423. So, keep reading to learn more.
Given numbers are 219,423,799,930,423
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 219,423,799,930,423 is 162732330.
Find LCM of 219,423,799,930,423 with Prime Factorization
| 3 | 219, 423, 799, 930, 423 |
| 3 | 73, 141, 799, 310, 141 |
| 47 | 73, 47, 799, 310, 47 |
| 73, 1, 17, 310, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 47 x 73 x 1 x 17 x 310 x 1 = 162732330
Therefore, the lowest common multiple of 219,423,799,930,423 is 162732330.
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.
219 x 423 x 799 x 930 x 423 = 29117533074570
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.
219 : 1, 3, 73, 219
423 : 1, 3, 9, 47, 141, 423
799 : 1, 17, 47, 799
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
423 : 1, 3, 9, 47, 141, 423
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 219,423,799,930,423, is 1.
Now, the common factors can be found like this.
219:3x 73
423:3x 3x 47
799:17x 47
930:2x 3x 5x 31
423:3x 3x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 3x 47x 47 = 178929
Therefore, the value for common factors is 178929.
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 = 29117533074570/(1x178929)
LCM = 29117533074570/178929
LCM = 162732330
Thus, we can understand that the LCM of 219,423,799,930,423 is 162732330.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 219, 423, 799, 930, 423
1. What is the LCM of 219, 423, 799, 930, 423?
Answer: LCM of 219, 423, 799, 930, 423 is 162732330.
2. How to calculate the LCM of 219, 423, 799, 930, 423?
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 219, 423, 799, 930, 423.
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}.