LCM of 429, 594, 771, 252, 522
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 429, 594, 771, 252, 522 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, 594, 771, 252, 522. So, keep reading to learn more.
Given numbers are 429,594,771,252,522
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 429,594,771,252,522 is 805728924.
Find LCM of 429,594,771,252,522 with Prime Factorization
| 2 | 429, 594, 771, 252, 522 |
| 3 | 429, 297, 771, 126, 261 |
| 3 | 143, 99, 257, 42, 87 |
| 11 | 143, 33, 257, 14, 29 |
| 13, 3, 257, 14, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 11 x 13 x 3 x 257 x 14 x 29 = 805728924
Therefore, the lowest common multiple of 429,594,771,252,522 is 805728924.
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 594 x 771 x 252 x 522 = 25844560966224
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
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
771 : 1, 3, 257, 771
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 429,594,771,252,522, is 3.
Now, the common factors can be found like this.
429:3x 11x 13
594:2x 3x 3x 3x 11
771:3x 257
252:2x 2x 3x 3x 7
522:2x 3x 3x 29
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 3x 3x 3x 11 = 10692
Therefore, the value for common factors is 10692.
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 = 25844560966224/(3x10692)
LCM = 25844560966224/32076
LCM = 805728924
Thus, we can understand that the LCM of 429,594,771,252,522 is 805728924.
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FAQs on LCM of 429, 594, 771, 252, 522
1. What is the LCM of 429, 594, 771, 252, 522?
Answer: LCM of 429, 594, 771, 252, 522 is 805728924.
2. How to calculate the LCM of 429, 594, 771, 252, 522?
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, 594, 771, 252, 522.
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}.