LCM of 698, 840, 606, 505
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 698, 840, 606, 505 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 698, 840, 606, 505. So, keep reading to learn more.
Given numbers are 698,840,606,505
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 698,840,606,505 is 29609160.
Find LCM of 698,840,606,505 with Prime Factorization
| 2 | 698, 840, 606, 505 |
| 3 | 349, 420, 303, 505 |
| 5 | 349, 140, 101, 505 |
| 101 | 349, 28, 101, 101 |
| 349, 28, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 101 x 349 x 28 x 1 x 1 = 29609160
Therefore, the lowest common multiple of 698,840,606,505 is 29609160.
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.
698 x 840 x 606 x 505 = 179431509600
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.
698 : 1, 2, 349, 698
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
606 : 1, 2, 3, 6, 101, 202, 303, 606
505 : 1, 5, 101, 505
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 698,840,606,505, is 1.
Now, the common factors can be found like this.
698:2x 349
840:2x 2x 2x 3x 5x 7
606:2x 3x 101
505:5x 101
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 3x 5x 101 = 6060
Therefore, the value for common factors is 6060.
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 = 179431509600/(1x6060)
LCM = 179431509600/6060
LCM = 29609160
Thus, we can understand that the LCM of 698,840,606,505 is 29609160.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 698, 840, 606, 505
1. What is the LCM of 698, 840, 606, 505?
Answer: LCM of 698, 840, 606, 505 is 29609160.
2. How to calculate the LCM of 698, 840, 606, 505?
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 698, 840, 606, 505.
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}.