LCM of 767, 670, 600, 663, 323
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 767, 670, 600, 663, 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 767, 670, 600, 663, 323. So, keep reading to learn more.
Given numbers are 767,670,600,663,323
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 767,670,600,663,323 is 9959188200.
Find LCM of 767,670,600,663,323 with Prime Factorization
| 2 | 767, 670, 600, 663, 323 |
| 3 | 767, 335, 300, 663, 323 |
| 5 | 767, 335, 100, 221, 323 |
| 13 | 767, 67, 20, 221, 323 |
| 17 | 59, 67, 20, 17, 323 |
| 59, 67, 20, 1, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 13 x 17 x 59 x 67 x 20 x 1 x 19 = 9959188200
Therefore, the lowest common multiple of 767,670,600,663,323 is 9959188200.
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.
767 x 670 x 600 x 663 x 323 = 66029417766000
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.
767 : 1, 13, 59, 767
670 : 1, 2, 5, 10, 67, 134, 335, 670
600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
663 : 1, 3, 13, 17, 39, 51, 221, 663
323 : 1, 17, 19, 323
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 767,670,600,663,323, is 1.
Now, the common factors can be found like this.
767:13x 59
670:2x 5x 67
600:2x 2x 2x 3x 5x 5
663:3x 13x 17
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 3x 5x 13x 17 = 6630
Therefore, the value for common factors is 6630.
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 = 66029417766000/(1x6630)
LCM = 66029417766000/6630
LCM = 9959188200
Thus, we can understand that the LCM of 767,670,600,663,323 is 9959188200.
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FAQs on LCM of 767, 670, 600, 663, 323
1. What is the LCM of 767, 670, 600, 663, 323?
Answer: LCM of 767, 670, 600, 663, 323 is 9959188200.
2. How to calculate the LCM of 767, 670, 600, 663, 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 767, 670, 600, 663, 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}.