Find the LCM of 717, 654, 840, 923, 588 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 717, 654, 840, 923, 588. So, keep reading to learn more.
Given numbers are 717,654,840,923,588
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 717,654,840,923,588 is 141385029240.
Find LCM of 717,654,840,923,588 with Prime Factorization
2 | 717, 654, 840, 923, 588 |
2 | 717, 327, 420, 923, 294 |
3 | 717, 327, 210, 923, 147 |
7 | 239, 109, 70, 923, 49 |
239, 109, 10, 923, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 239 x 109 x 10 x 923 x 7 = 141385029240
Therefore, the lowest common multiple of 717,654,840,923,588 is 141385029240.
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.
717 x 654 x 840 x 923 x 588 = 213774164210880
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.
717 : 1, 3, 239, 717
654 : 1, 2, 3, 6, 109, 218, 327, 654
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
923 : 1, 13, 71, 923
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 717,654,840,923,588, is 1.
Now, the common factors can be found like this.
717:3x 239
654:2x 3x 109
840:2x 2x 2x 3x 5x 7
923:13x 71
588:2x 2x 3x 7x 7
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 3x 3x 3x 7 = 1512
Therefore, the value for common factors is 1512.
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 = 213774164210880/(1x1512)
LCM = 213774164210880/1512
LCM = 141385029240
Thus, we can understand that the LCM of 717,654,840,923,588 is 141385029240.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 717, 654, 840, 923, 588?
Answer: LCM of 717, 654, 840, 923, 588 is 141385029240.
2. How to calculate the LCM of 717, 654, 840, 923, 588?
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 717, 654, 840, 923, 588.
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}.