LCM of 508, 429, 537, 702, 624
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 508, 429, 537, 702, 624 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 508, 429, 537, 702, 624. So, keep reading to learn more.
Given numbers are 508,429,537,702,624
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 508,429,537,702,624 is 1404353808.
Find LCM of 508,429,537,702,624 with Prime Factorization
| 2 | 508, 429, 537, 702, 624 |
| 2 | 254, 429, 537, 351, 312 |
| 3 | 127, 429, 537, 351, 156 |
| 13 | 127, 143, 179, 117, 52 |
| 127, 11, 179, 9, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 127 x 11 x 179 x 9 x 4 = 1404353808
Therefore, the lowest common multiple of 508,429,537,702,624 is 1404353808.
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.
508 x 429 x 537 x 702 x 624 = 51264531407232
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.
508 : 1, 2, 4, 127, 254, 508
429 : 1, 3, 11, 13, 33, 39, 143, 429
537 : 1, 3, 179, 537
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 508,429,537,702,624, is 1.
Now, the common factors can be found like this.
508:2x 2x 127
429:3x 11x 13
537:3x 179
702:2x 3x 3x 3x 13
624:2x 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 2x 3x 3x 3x 13x 13 = 36504
Therefore, the value for common factors is 36504.
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 = 51264531407232/(1x36504)
LCM = 51264531407232/36504
LCM = 1404353808
Thus, we can understand that the LCM of 508,429,537,702,624 is 1404353808.
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FAQs on LCM of 508, 429, 537, 702, 624
1. What is the LCM of 508, 429, 537, 702, 624?
Answer: LCM of 508, 429, 537, 702, 624 is 1404353808.
2. How to calculate the LCM of 508, 429, 537, 702, 624?
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 508, 429, 537, 702, 624.
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}.