LCM of 806, 423, 603, 759, 752
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 806, 423, 603, 759, 752 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 806, 423, 603, 759, 752. So, keep reading to learn more.
Given numbers are 806,423,603,759,752
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 806,423,603,759,752 is 46233920304.
Find LCM of 806,423,603,759,752 with Prime Factorization
| 2 | 806, 423, 603, 759, 752 |
| 3 | 403, 423, 603, 759, 376 |
| 3 | 403, 141, 201, 253, 376 |
| 47 | 403, 47, 67, 253, 376 |
| 403, 1, 67, 253, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 47 x 403 x 1 x 67 x 253 x 8 = 46233920304
Therefore, the lowest common multiple of 806,423,603,759,752 is 46233920304.
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.
806 x 423 x 603 x 759 x 752 = 117341689731552
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.
806 : 1, 2, 13, 26, 31, 62, 403, 806
423 : 1, 3, 9, 47, 141, 423
603 : 1, 3, 9, 67, 201, 603
759 : 1, 3, 11, 23, 33, 69, 253, 759
752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 806,423,603,759,752, is 1.
Now, the common factors can be found like this.
806:2x 13x 31
423:3x 3x 47
603:3x 3x 67
759:3x 11x 23
752:2x 2x 2x 2x 47
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 3x 3x 47 = 2538
Therefore, the value for common factors is 2538.
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 = 117341689731552/(1x2538)
LCM = 117341689731552/2538
LCM = 46233920304
Thus, we can understand that the LCM of 806,423,603,759,752 is 46233920304.
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FAQs on LCM of 806, 423, 603, 759, 752
1. What is the LCM of 806, 423, 603, 759, 752?
Answer: LCM of 806, 423, 603, 759, 752 is 46233920304.
2. How to calculate the LCM of 806, 423, 603, 759, 752?
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 806, 423, 603, 759, 752.
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}.