LCM of 344, 592, 900, 396, 572
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 344, 592, 900, 396, 572 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 344, 592, 900, 396, 572. So, keep reading to learn more.
Given numbers are 344,592,900,396,572
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 344,592,900,396,572 is 819046800.
Find LCM of 344,592,900,396,572 with Prime Factorization
| 2 | 344, 592, 900, 396, 572 |
| 2 | 172, 296, 450, 198, 286 |
| 2 | 86, 148, 225, 99, 143 |
| 3 | 43, 74, 225, 99, 143 |
| 3 | 43, 74, 75, 33, 143 |
| 11 | 43, 74, 25, 11, 143 |
| 43, 74, 25, 1, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 11 x 43 x 74 x 25 x 1 x 13 = 819046800
Therefore, the lowest common multiple of 344,592,900,396,572 is 819046800.
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.
344 x 592 x 900 x 396 x 572 = 41515844198400
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.
344 : 1, 2, 4, 8, 43, 86, 172, 344
592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 344,592,900,396,572, is 4.
Now, the common factors can be found like this.
344:2x 2x 2x 43
592:2x 2x 2x 2x 37
900:2x 2x 3x 3x 5x 5
396:2x 2x 3x 3x 11
572:2x 2x 11x 13
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 2x 2x 2x 2x 3x 3x 11 = 12672
Therefore, the value for common factors is 12672.
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 = 41515844198400/(4x12672)
LCM = 41515844198400/50688
LCM = 819046800
Thus, we can understand that the LCM of 344,592,900,396,572 is 819046800.
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FAQs on LCM of 344, 592, 900, 396, 572
1. What is the LCM of 344, 592, 900, 396, 572?
Answer: LCM of 344, 592, 900, 396, 572 is 819046800.
2. How to calculate the LCM of 344, 592, 900, 396, 572?
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 344, 592, 900, 396, 572.
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}.