LCM of 473, 180, 429, 565, 312
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 473, 180, 429, 565, 312 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 473, 180, 429, 565, 312. So, keep reading to learn more.
Given numbers are 473,180,429,565,312
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 473,180,429,565,312 is 250141320.
Find LCM of 473,180,429,565,312 with Prime Factorization
| 2 | 473, 180, 429, 565, 312 |
| 2 | 473, 90, 429, 565, 156 |
| 3 | 473, 45, 429, 565, 78 |
| 5 | 473, 15, 143, 565, 26 |
| 11 | 473, 3, 143, 113, 26 |
| 13 | 43, 3, 13, 113, 26 |
| 43, 3, 1, 113, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 11 x 13 x 43 x 3 x 1 x 113 x 2 = 250141320
Therefore, the lowest common multiple of 473,180,429,565,312 is 250141320.
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.
473 x 180 x 429 x 565 x 312 = 6438637576800
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.
473 : 1, 11, 43, 473
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
429 : 1, 3, 11, 13, 33, 39, 143, 429
565 : 1, 5, 113, 565
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 473,180,429,565,312, is 1.
Now, the common factors can be found like this.
473:11x 43
180:2x 2x 3x 3x 5
429:3x 11x 13
565:5x 113
312:2x 2x 2x 3x 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 3x 3x 5x 11x 13 = 25740
Therefore, the value for common factors is 25740.
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 = 6438637576800/(1x25740)
LCM = 6438637576800/25740
LCM = 250141320
Thus, we can understand that the LCM of 473,180,429,565,312 is 250141320.
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FAQs on LCM of 473, 180, 429, 565, 312
1. What is the LCM of 473, 180, 429, 565, 312?
Answer: LCM of 473, 180, 429, 565, 312 is 250141320.
2. How to calculate the LCM of 473, 180, 429, 565, 312?
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 473, 180, 429, 565, 312.
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}.