Find the LCM of 588, 840, 865, 234 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 588, 840, 865, 234. So, keep reading to learn more.
Given numbers are 588,840,865,234
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 588,840,865,234 is 39672360.
Find LCM of 588,840,865,234 with Prime Factorization
2 | 588, 840, 865, 234 |
2 | 294, 420, 865, 117 |
3 | 147, 210, 865, 117 |
5 | 49, 70, 865, 39 |
7 | 49, 14, 173, 39 |
7, 2, 173, 39 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 7 x 2 x 173 x 39 = 39672360
Therefore, the lowest common multiple of 588,840,865,234 is 39672360.
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.
588 x 840 x 865 x 234 = 99974347200
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.
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
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
865 : 1, 5, 173, 865
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 588,840,865,234, is 1.
Now, the common factors can be found like this.
588:2x 2x 3x 7x 7
840:2x 2x 2x 3x 5x 7
865:5x 173
234:2x 3x 3x 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 2x 2x 3x 3x 5x 7 = 2520
Therefore, the value for common factors is 2520.
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 = 99974347200/(1x2520)
LCM = 99974347200/2520
LCM = 39672360
Thus, we can understand that the LCM of 588,840,865,234 is 39672360.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 588, 840, 865, 234?
Answer: LCM of 588, 840, 865, 234 is 39672360.
2. How to calculate the LCM of 588, 840, 865, 234?
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 588, 840, 865, 234.
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}.