LCM of 506, 826, 750, 756, 328
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 506, 826, 750, 756, 328 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 506, 826, 750, 756, 328. So, keep reading to learn more.
Given numbers are 506,826,750,756,328
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 506,826,750,756,328 is 115669323000.
Find LCM of 506,826,750,756,328 with Prime Factorization
| 2 | 506, 826, 750, 756, 328 |
| 2 | 253, 413, 375, 378, 164 |
| 3 | 253, 413, 375, 189, 82 |
| 7 | 253, 413, 125, 63, 82 |
| 253, 59, 125, 9, 82 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 253 x 59 x 125 x 9 x 82 = 115669323000
Therefore, the lowest common multiple of 506,826,750,756,328 is 115669323000.
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.
506 x 826 x 750 x 756 x 328 = 77729785056000
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.
506 : 1, 2, 11, 22, 23, 46, 253, 506
826 : 1, 2, 7, 14, 59, 118, 413, 826
750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
328 : 1, 2, 4, 8, 41, 82, 164, 328
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 506,826,750,756,328, is 2.
Now, the common factors can be found like this.
506:2x 11x 23
826:2x 7x 59
750:2x 3x 5x 5x 5
756:2x 2x 3x 3x 3x 7
328:2x 2x 2x 41
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 7 = 336
Therefore, the value for common factors is 336.
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 = 77729785056000/(2x336)
LCM = 77729785056000/672
LCM = 115669323000
Thus, we can understand that the LCM of 506,826,750,756,328 is 115669323000.
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FAQs on LCM of 506, 826, 750, 756, 328
1. What is the LCM of 506, 826, 750, 756, 328?
Answer: LCM of 506, 826, 750, 756, 328 is 115669323000.
2. How to calculate the LCM of 506, 826, 750, 756, 328?
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 506, 826, 750, 756, 328.
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}.