Find the LCM of 698, 337, 817, 281, 387 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, 337, 817, 281, 387. So, keep reading to learn more.
Given numbers are 698,337,817,281,387
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 698,337,817,281,387 is 486022314618.
Find LCM of 698,337,817,281,387 with Prime Factorization
43 | 698, 337, 817, 281, 387 |
698, 337, 19, 281, 9 |
Multiply the prime numbers at the bottom and the left side.
43 x 698 x 337 x 19 x 281 x 9 = 486022314618
Therefore, the lowest common multiple of 698,337,817,281,387 is 486022314618.
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 337 x 817 x 281 x 387 = 20898959528574
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
337 : 1, 337
817 : 1, 19, 43, 817
281 : 1, 281
387 : 1, 3, 9, 43, 129, 387
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 698,337,817,281,387, is 1.
Now, the common factors can be found like this.
698:2x 349
337:337
817:19x 43
281:281
387:3x 3x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
43 = 43
Therefore, the value for common factors is 43.
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 = 20898959528574/(1x43)
LCM = 20898959528574/43
LCM = 486022314618
Thus, we can understand that the LCM of 698,337,817,281,387 is 486022314618.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 698, 337, 817, 281, 387?
Answer: LCM of 698, 337, 817, 281, 387 is 486022314618.
2. How to calculate the LCM of 698, 337, 817, 281, 387?
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, 337, 817, 281, 387.
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}.