LCM of 328, 217, 429, 620, 840
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 328, 217, 429, 620, 840 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 328, 217, 429, 620, 840. So, keep reading to learn more.
Given numbers are 328,217,429,620,840
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 328,217,429,620,840 is 152672520.
Find LCM of 328,217,429,620,840 with Prime Factorization
| 2 | 328, 217, 429, 620, 840 |
| 2 | 164, 217, 429, 310, 420 |
| 2 | 82, 217, 429, 155, 210 |
| 3 | 41, 217, 429, 155, 105 |
| 5 | 41, 217, 143, 155, 35 |
| 7 | 41, 217, 143, 31, 7 |
| 31 | 41, 31, 143, 31, 1 |
| 41, 1, 143, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 7 x 31 x 41 x 1 x 143 x 1 x 1 = 152672520
Therefore, the lowest common multiple of 328,217,429,620,840 is 152672520.
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.
328 x 217 x 429 x 620 x 840 = 15902369683200
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.
328 : 1, 2, 4, 8, 41, 82, 164, 328
217 : 1, 7, 31, 217
429 : 1, 3, 11, 13, 33, 39, 143, 429
620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 328,217,429,620,840, is 1.
Now, the common factors can be found like this.
328:2x 2x 2x 41
217:7x 31
429:3x 11x 13
620:2x 2x 5x 31
840:2x 2x 2x 3x 5x 7
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 2x 2x 3x 5x 7x 31 = 104160
Therefore, the value for common factors is 104160.
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 = 15902369683200/(1x104160)
LCM = 15902369683200/104160
LCM = 152672520
Thus, we can understand that the LCM of 328,217,429,620,840 is 152672520.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 328, 217, 429, 620, 840
1. What is the LCM of 328, 217, 429, 620, 840?
Answer: LCM of 328, 217, 429, 620, 840 is 152672520.
2. How to calculate the LCM of 328, 217, 429, 620, 840?
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 328, 217, 429, 620, 840.
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}.