LCM of 494, 632, 780, 584
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 494, 632, 780, 584 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 494, 632, 780, 584. So, keep reading to learn more.
Given numbers are 494,632,780,584
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 494,632,780,584 is 170933880.
Find LCM of 494,632,780,584 with Prime Factorization
| 2 | 494, 632, 780, 584 |
| 2 | 247, 316, 390, 292 |
| 2 | 247, 158, 195, 146 |
| 13 | 247, 79, 195, 73 |
| 19, 79, 15, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 13 x 19 x 79 x 15 x 73 = 170933880
Therefore, the lowest common multiple of 494,632,780,584 is 170933880.
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.
494 x 632 x 780 x 584 = 142216988160
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.
494 : 1, 2, 13, 19, 26, 38, 247, 494
632 : 1, 2, 4, 8, 79, 158, 316, 632
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
584 : 1, 2, 4, 8, 73, 146, 292, 584
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 494,632,780,584, is 2.
Now, the common factors can be found like this.
494:2x 13x 19
632:2x 2x 2x 79
780:2x 2x 3x 5x 13
584:2x 2x 2x 73
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 13 = 416
Therefore, the value for common factors is 416.
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 = 142216988160/(2x416)
LCM = 142216988160/832
LCM = 170933880
Thus, we can understand that the LCM of 494,632,780,584 is 170933880.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 494, 632, 780, 584
1. What is the LCM of 494, 632, 780, 584?
Answer: LCM of 494, 632, 780, 584 is 170933880.
2. How to calculate the LCM of 494, 632, 780, 584?
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 494, 632, 780, 584.
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}.