Find the LCM of 671, 840, 123, 890, 507 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 671, 840, 123, 890, 507. So, keep reading to learn more.
Given numbers are 671,840,123,890,507
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 671,840,123,890,507 is 347586078840.
Find LCM of 671,840,123,890,507 with Prime Factorization
2 | 671, 840, 123, 890, 507 |
3 | 671, 420, 123, 445, 507 |
5 | 671, 140, 41, 445, 169 |
671, 28, 41, 89, 169 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 671 x 28 x 41 x 89 x 169 = 347586078840
Therefore, the lowest common multiple of 671,840,123,890,507 is 347586078840.
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.
671 x 840 x 123 x 890 x 507 = 31282747095600
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.
671 : 1, 11, 61, 671
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
123 : 1, 3, 41, 123
890 : 1, 2, 5, 10, 89, 178, 445, 890
507 : 1, 3, 13, 39, 169, 507
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 671,840,123,890,507, is 1.
Now, the common factors can be found like this.
671:11x 61
840:2x 2x 2x 3x 5x 7
123:3x 41
890:2x 5x 89
507:3x 13x 13
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 5 = 90
Therefore, the value for common factors is 90.
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 = 31282747095600/(1x90)
LCM = 31282747095600/90
LCM = 347586078840
Thus, we can understand that the LCM of 671,840,123,890,507 is 347586078840.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 671, 840, 123, 890, 507?
Answer: LCM of 671, 840, 123, 890, 507 is 347586078840.
2. How to calculate the LCM of 671, 840, 123, 890, 507?
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 671, 840, 123, 890, 507.
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}.