Find the LCM of 513, 210, 931, 414, 689 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 513, 210, 931, 414, 689. So, keep reading to learn more.
Given numbers are 513,210,931,414,689
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 513,210,931,414,689 is 3983460390.
Find LCM of 513,210,931,414,689 with Prime Factorization
2 | 513, 210, 931, 414, 689 |
3 | 513, 105, 931, 207, 689 |
3 | 171, 35, 931, 69, 689 |
7 | 57, 35, 931, 23, 689 |
19 | 57, 5, 133, 23, 689 |
3, 5, 7, 23, 689 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 19 x 3 x 5 x 7 x 23 x 689 = 3983460390
Therefore, the lowest common multiple of 513,210,931,414,689 is 3983460390.
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.
513 x 210 x 931 x 414 x 689 = 28609212520980
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.
513 : 1, 3, 9, 19, 27, 57, 171, 513
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
931 : 1, 7, 19, 49, 133, 931
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
689 : 1, 13, 53, 689
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,210,931,414,689, is 1.
Now, the common factors can be found like this.
513:3x 3x 3x 19
210:2x 3x 5x 7
931:7x 7x 19
414:2x 3x 3x 23
689:13x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 7x 19 = 7182
Therefore, the value for common factors is 7182.
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 = 28609212520980/(1x7182)
LCM = 28609212520980/7182
LCM = 3983460390
Thus, we can understand that the LCM of 513,210,931,414,689 is 3983460390.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 513, 210, 931, 414, 689?
Answer: LCM of 513, 210, 931, 414, 689 is 3983460390.
2. How to calculate the LCM of 513, 210, 931, 414, 689?
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 513, 210, 931, 414, 689.
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}.