LCM of 699, 820, 328, 692
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 699, 820, 328, 692 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, 820, 328, 692. So, keep reading to learn more.
Given numbers are 699,820,328,692
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 699,820,328,692 is 198320280.
Find LCM of 699,820,328,692 with Prime Factorization
| 2 | 699, 820, 328, 692 |
| 2 | 699, 410, 164, 346 |
| 41 | 699, 205, 82, 173 |
| 699, 5, 2, 173 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 41 x 699 x 5 x 2 x 173 = 198320280
Therefore, the lowest common multiple of 699,820,328,692 is 198320280.
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 820 x 328 x 692 = 130098103680
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
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
328 : 1, 2, 4, 8, 41, 82, 164, 328
692 : 1, 2, 4, 173, 346, 692
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 699,820,328,692, is 1.
Now, the common factors can be found like this.
699:3x 233
820:2x 2x 5x 41
328:2x 2x 2x 41
692:2x 2x 173
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 41 = 656
Therefore, the value for common factors is 656.
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 = 130098103680/(1x656)
LCM = 130098103680/656
LCM = 198320280
Thus, we can understand that the LCM of 699,820,328,692 is 198320280.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 699, 820, 328, 692
1. What is the LCM of 699, 820, 328, 692?
Answer: LCM of 699, 820, 328, 692 is 198320280.
2. How to calculate the LCM of 699, 820, 328, 692?
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, 820, 328, 692.
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}.