LCM of 518, 429, 754, 550, 594
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 518, 429, 754, 550, 594 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 518, 429, 754, 550, 594. So, keep reading to learn more.
Given numbers are 518,429,754,550,594
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 518,429,754,550,594 is 1449998550.
Find LCM of 518,429,754,550,594 with Prime Factorization
| 2 | 518, 429, 754, 550, 594 |
| 3 | 259, 429, 377, 275, 297 |
| 11 | 259, 143, 377, 275, 99 |
| 13 | 259, 13, 377, 25, 9 |
| 259, 1, 29, 25, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 13 x 259 x 1 x 29 x 25 x 9 = 1449998550
Therefore, the lowest common multiple of 518,429,754,550,594 is 1449998550.
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.
518 x 429 x 754 x 550 x 594 = 54740345259600
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.
518 : 1, 2, 7, 14, 37, 74, 259, 518
429 : 1, 3, 11, 13, 33, 39, 143, 429
754 : 1, 2, 13, 26, 29, 58, 377, 754
550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 518,429,754,550,594, is 1.
Now, the common factors can be found like this.
518:2x 7x 37
429:3x 11x 13
754:2x 13x 29
550:2x 5x 5x 11
594:2x 3x 3x 3x 11
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 11x 11x 13 = 37752
Therefore, the value for common factors is 37752.
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 = 54740345259600/(1x37752)
LCM = 54740345259600/37752
LCM = 1449998550
Thus, we can understand that the LCM of 518,429,754,550,594 is 1449998550.
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FAQs on LCM of 518, 429, 754, 550, 594
1. What is the LCM of 518, 429, 754, 550, 594?
Answer: LCM of 518, 429, 754, 550, 594 is 1449998550.
2. How to calculate the LCM of 518, 429, 754, 550, 594?
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 518, 429, 754, 550, 594.
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}.