LCM of 599, 493, 780, 785, 348
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 599, 493, 780, 785, 348 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 599, 493, 780, 785, 348. So, keep reading to learn more.
Given numbers are 599,493,780,785,348
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 599,493,780,785,348 is 36163295220.
Find LCM of 599,493,780,785,348 with Prime Factorization
| 2 | 599, 493, 780, 785, 348 |
| 2 | 599, 493, 390, 785, 174 |
| 3 | 599, 493, 195, 785, 87 |
| 5 | 599, 493, 65, 785, 29 |
| 29 | 599, 493, 13, 157, 29 |
| 599, 17, 13, 157, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 29 x 599 x 17 x 13 x 157 x 1 = 36163295220
Therefore, the lowest common multiple of 599,493,780,785,348 is 36163295220.
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.
599 x 493 x 780 x 785 x 348 = 62924133682800
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.
599 : 1, 599
493 : 1, 17, 29, 493
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
785 : 1, 5, 157, 785
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 599,493,780,785,348, is 1.
Now, the common factors can be found like this.
599:599
493:17x 29
780:2x 2x 3x 5x 13
785:5x 157
348:2x 2x 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 5x 29 = 1740
Therefore, the value for common factors is 1740.
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 = 62924133682800/(1x1740)
LCM = 62924133682800/1740
LCM = 36163295220
Thus, we can understand that the LCM of 599,493,780,785,348 is 36163295220.
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FAQs on LCM of 599, 493, 780, 785, 348
1. What is the LCM of 599, 493, 780, 785, 348?
Answer: LCM of 599, 493, 780, 785, 348 is 36163295220.
2. How to calculate the LCM of 599, 493, 780, 785, 348?
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 599, 493, 780, 785, 348.
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}.