LCM of 828, 465, 599, 694
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 828, 465, 599, 694 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 828, 465, 599, 694. So, keep reading to learn more.
Given numbers are 828,465,599,694
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 828,465,599,694 is 26675854020.
Find LCM of 828,465,599,694 with Prime Factorization
| 2 | 828, 465, 599, 694 |
| 3 | 414, 465, 599, 347 |
| 138, 155, 599, 347 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 138 x 155 x 599 x 347 = 26675854020
Therefore, the lowest common multiple of 828,465,599,694 is 26675854020.
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.
828 x 465 x 599 x 694 = 160055124120
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.
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
465 : 1, 3, 5, 15, 31, 93, 155, 465
599 : 1, 599
694 : 1, 2, 347, 694
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,465,599,694, is 1.
Now, the common factors can be found like this.
828:2x 2x 3x 3x 23
465:3x 5x 31
599:599
694:2x 347
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 160055124120/(1x6)
LCM = 160055124120/6
LCM = 26675854020
Thus, we can understand that the LCM of 828,465,599,694 is 26675854020.
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FAQs on LCM of 828, 465, 599, 694
1. What is the LCM of 828, 465, 599, 694?
Answer: LCM of 828, 465, 599, 694 is 26675854020.
2. How to calculate the LCM of 828, 465, 599, 694?
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 828, 465, 599, 694.
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}.