LCM of 641, 578, 588, 312, 144
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 641, 578, 588, 312, 144 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 641, 578, 588, 312, 144. So, keep reading to learn more.
Given numbers are 641,578,588,312,144
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 641,578,588,312,144 is 16992520272.
Find LCM of 641,578,588,312,144 with Prime Factorization
| 2 | 641, 578, 588, 312, 144 |
| 2 | 641, 289, 294, 156, 72 |
| 2 | 641, 289, 147, 78, 36 |
| 3 | 641, 289, 147, 39, 18 |
| 641, 289, 49, 13, 6 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 641 x 289 x 49 x 13 x 6 = 16992520272
Therefore, the lowest common multiple of 641,578,588,312,144 is 16992520272.
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.
641 x 578 x 588 x 312 x 144 = 9787691676672
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.
641 : 1, 641
578 : 1, 2, 17, 34, 289, 578
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 641,578,588,312,144, is 1.
Now, the common factors can be found like this.
641:641
578:2x 17x 17
588:2x 2x 3x 7x 7
312:2x 2x 2x 3x 13
144:2x 2x 2x 2x 3x 3
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 2x 3x 3 = 576
Therefore, the value for common factors is 576.
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 = 9787691676672/(1x576)
LCM = 9787691676672/576
LCM = 16992520272
Thus, we can understand that the LCM of 641,578,588,312,144 is 16992520272.
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FAQs on LCM of 641, 578, 588, 312, 144
1. What is the LCM of 641, 578, 588, 312, 144?
Answer: LCM of 641, 578, 588, 312, 144 is 16992520272.
2. How to calculate the LCM of 641, 578, 588, 312, 144?
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 641, 578, 588, 312, 144.
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}.