LCM of 993, 840, 782, 646, 749
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 993, 840, 782, 646, 749 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 993, 840, 782, 646, 749. So, keep reading to learn more.
Given numbers are 993,840,782,646,749
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 993,840,782,646,749 is 221014830120.
Find LCM of 993,840,782,646,749 with Prime Factorization
| 2 | 993, 840, 782, 646, 749 |
| 3 | 993, 420, 391, 323, 749 |
| 7 | 331, 140, 391, 323, 749 |
| 17 | 331, 20, 391, 323, 107 |
| 331, 20, 23, 19, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 17 x 331 x 20 x 23 x 19 x 107 = 221014830120
Therefore, the lowest common multiple of 993,840,782,646,749 is 221014830120.
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.
993 x 840 x 782 x 646 x 749 = 315609177411360
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.
993 : 1, 3, 331, 993
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
782 : 1, 2, 17, 23, 34, 46, 391, 782
646 : 1, 2, 17, 19, 34, 38, 323, 646
749 : 1, 7, 107, 749
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 993,840,782,646,749, is 1.
Now, the common factors can be found like this.
993:3x 331
840:2x 2x 2x 3x 5x 7
782:2x 17x 23
646:2x 17x 19
749:7x 107
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 7x 17 = 1428
Therefore, the value for common factors is 1428.
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 = 315609177411360/(1x1428)
LCM = 315609177411360/1428
LCM = 221014830120
Thus, we can understand that the LCM of 993,840,782,646,749 is 221014830120.
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FAQs on LCM of 993, 840, 782, 646, 749
1. What is the LCM of 993, 840, 782, 646, 749?
Answer: LCM of 993, 840, 782, 646, 749 is 221014830120.
2. How to calculate the LCM of 993, 840, 782, 646, 749?
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 993, 840, 782, 646, 749.
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}.