LCM of 429, 319, 330, 520
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 429, 319, 330, 520 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 429, 319, 330, 520. So, keep reading to learn more.
Given numbers are 429,319,330,520
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 429,319,330,520 is 497640.
Find LCM of 429,319,330,520 with Prime Factorization
| 2 | 429, 319, 330, 520 |
| 3 | 429, 319, 165, 260 |
| 5 | 143, 319, 55, 260 |
| 11 | 143, 319, 11, 52 |
| 13 | 13, 29, 1, 52 |
| 1, 29, 1, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 13 x 1 x 29 x 1 x 4 = 497640
Therefore, the lowest common multiple of 429,319,330,520 is 497640.
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.
429 x 319 x 330 x 520 = 23483631600
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.
429 : 1, 3, 11, 13, 33, 39, 143, 429
319 : 1, 11, 29, 319
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 429,319,330,520, is 1.
Now, the common factors can be found like this.
429:3x 11x 13
319:11x 29
330:2x 3x 5x 11
520:2x 2x 2x 5x 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 3x 5x 11x 11x 13 = 47190
Therefore, the value for common factors is 47190.
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 = 23483631600/(1x47190)
LCM = 23483631600/47190
LCM = 497640
Thus, we can understand that the LCM of 429,319,330,520 is 497640.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 429, 319, 330, 520
1. What is the LCM of 429, 319, 330, 520?
Answer: LCM of 429, 319, 330, 520 is 497640.
2. How to calculate the LCM of 429, 319, 330, 520?
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 429, 319, 330, 520.
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}.