LCM of 493, 782, 384, 840
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 493, 782, 384, 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 493, 782, 384, 840. So, keep reading to learn more.
Given numbers are 493,782,384,840
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 493,782,384,840 is 152396160.
Find LCM of 493,782,384,840 with Prime Factorization
| 2 | 493, 782, 384, 840 |
| 2 | 493, 391, 192, 420 |
| 2 | 493, 391, 96, 210 |
| 3 | 493, 391, 48, 105 |
| 17 | 493, 391, 16, 35 |
| 29, 23, 16, 35 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 17 x 29 x 23 x 16 x 35 = 152396160
Therefore, the lowest common multiple of 493,782,384,840 is 152396160.
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.
493 x 782 x 384 x 840 = 124355266560
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.
493 : 1, 17, 29, 493
782 : 1, 2, 17, 23, 34, 46, 391, 782
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
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 493,782,384,840, is 1.
Now, the common factors can be found like this.
493:17x 29
782:2x 17x 23
384:2x 2x 2x 2x 2x 2x 2x 3
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 3x 17 = 816
Therefore, the value for common factors is 816.
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 = 124355266560/(1x816)
LCM = 124355266560/816
LCM = 152396160
Thus, we can understand that the LCM of 493,782,384,840 is 152396160.
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FAQs on LCM of 493, 782, 384, 840
1. What is the LCM of 493, 782, 384, 840?
Answer: LCM of 493, 782, 384, 840 is 152396160.
2. How to calculate the LCM of 493, 782, 384, 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 493, 782, 384, 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}.