LCM of 699, 750, 418, 786, 798
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 699, 750, 418, 786, 798 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 699, 750, 418, 786, 798. So, keep reading to learn more.
Given numbers are 699,750,418,786,798
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 699,750,418,786,798 is 33491361750.
Find LCM of 699,750,418,786,798 with Prime Factorization
| 2 | 699, 750, 418, 786, 798 |
| 3 | 699, 375, 209, 393, 399 |
| 19 | 233, 125, 209, 131, 133 |
| 233, 125, 11, 131, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 233 x 125 x 11 x 131 x 7 = 33491361750
Therefore, the lowest common multiple of 699,750,418,786,798 is 33491361750.
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.
699 x 750 x 418 x 786 x 798 = 137448548622000
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.
699 : 1, 3, 233, 699
750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
418 : 1, 2, 11, 19, 22, 38, 209, 418
786 : 1, 2, 3, 6, 131, 262, 393, 786
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 699,750,418,786,798, is 1.
Now, the common factors can be found like this.
699:3x 233
750:2x 3x 5x 5x 5
418:2x 11x 19
786:2x 3x 131
798:2x 3x 7x 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 3x 3x 19 = 4104
Therefore, the value for common factors is 4104.
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 = 137448548622000/(1x4104)
LCM = 137448548622000/4104
LCM = 33491361750
Thus, we can understand that the LCM of 699,750,418,786,798 is 33491361750.
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FAQs on LCM of 699, 750, 418, 786, 798
1. What is the LCM of 699, 750, 418, 786, 798?
Answer: LCM of 699, 750, 418, 786, 798 is 33491361750.
2. How to calculate the LCM of 699, 750, 418, 786, 798?
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 699, 750, 418, 786, 798.
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}.