LCM of 736, 828, 705, 782, 323
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 736, 828, 705, 782, 323 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 736, 828, 705, 782, 323. So, keep reading to learn more.
Given numbers are 736,828,705,782,323
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 736,828,705,782,323 is 502794720.
Find LCM of 736,828,705,782,323 with Prime Factorization
| 2 | 736, 828, 705, 782, 323 |
| 2 | 368, 414, 705, 391, 323 |
| 3 | 184, 207, 705, 391, 323 |
| 17 | 184, 69, 235, 391, 323 |
| 23 | 184, 69, 235, 23, 19 |
| 8, 3, 235, 1, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 17 x 23 x 8 x 3 x 235 x 1 x 19 = 502794720
Therefore, the lowest common multiple of 736,828,705,782,323 is 502794720.
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.
736 x 828 x 705 x 782 x 323 = 108519190007040
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.
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
705 : 1, 3, 5, 15, 47, 141, 235, 705
782 : 1, 2, 17, 23, 34, 46, 391, 782
323 : 1, 17, 19, 323
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 736,828,705,782,323, is 1.
Now, the common factors can be found like this.
736:2x 2x 2x 2x 2x 23
828:2x 2x 3x 3x 23
705:3x 5x 47
782:2x 17x 23
323:17x 19
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 3x 17x 23x 23 = 215832
Therefore, the value for common factors is 215832.
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 = 108519190007040/(1x215832)
LCM = 108519190007040/215832
LCM = 502794720
Thus, we can understand that the LCM of 736,828,705,782,323 is 502794720.
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FAQs on LCM of 736, 828, 705, 782, 323
1. What is the LCM of 736, 828, 705, 782, 323?
Answer: LCM of 736, 828, 705, 782, 323 is 502794720.
2. How to calculate the LCM of 736, 828, 705, 782, 323?
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 736, 828, 705, 782, 323.
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}.