Find the LCM of 698, 422, 230, 460, 616 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, 422, 230, 460, 616. So, keep reading to learn more.
Given numbers are 698,422,230,460,616
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 698,422,230,460,616 is 5216586760.
Find LCM of 698,422,230,460,616 with Prime Factorization
2 | 698, 422, 230, 460, 616 |
2 | 349, 211, 115, 230, 308 |
5 | 349, 211, 115, 115, 154 |
23 | 349, 211, 23, 23, 154 |
349, 211, 1, 1, 154 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 23 x 349 x 211 x 1 x 1 x 154 = 5216586760
Therefore, the lowest common multiple of 698,422,230,460,616 is 5216586760.
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 422 x 230 x 460 x 616 = 19197039276800
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
422 : 1, 2, 211, 422
230 : 1, 2, 5, 10, 23, 46, 115, 230
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 698,422,230,460,616, is 2.
Now, the common factors can be found like this.
698:2x 349
422:2x 211
230:2x 5x 23
460:2x 2x 5x 23
616:2x 2x 2x 7x 11
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 5x 23 = 1840
Therefore, the value for common factors is 1840.
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 = 19197039276800/(2x1840)
LCM = 19197039276800/3680
LCM = 5216586760
Thus, we can understand that the LCM of 698,422,230,460,616 is 5216586760.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 698, 422, 230, 460, 616?
Answer: LCM of 698, 422, 230, 460, 616 is 5216586760.
2. How to calculate the LCM of 698, 422, 230, 460, 616?
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, 422, 230, 460, 616.
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}.