Find the LCM of 309, 920, 690, 697, 438 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 309, 920, 690, 697, 438. So, keep reading to learn more.
Given numbers are 309,920,690,697,438
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 309,920,690,697,438 is 14464450680.
Find LCM of 309,920,690,697,438 with Prime Factorization
2 | 309, 920, 690, 697, 438 |
3 | 309, 460, 345, 697, 219 |
5 | 103, 460, 115, 697, 73 |
23 | 103, 92, 23, 697, 73 |
103, 4, 1, 697, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 23 x 103 x 4 x 1 x 697 x 73 = 14464450680
Therefore, the lowest common multiple of 309,920,690,697,438 is 14464450680.
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.
309 x 920 x 690 x 697 x 438 = 59882825815200
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.
309 : 1, 3, 103, 309
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
697 : 1, 17, 41, 697
438 : 1, 2, 3, 6, 73, 146, 219, 438
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 309,920,690,697,438, is 1.
Now, the common factors can be found like this.
309:3x 103
920:2x 2x 2x 5x 23
690:2x 3x 5x 23
697:17x 41
438:2x 3x 73
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 3x 3x 5x 23 = 4140
Therefore, the value for common factors is 4140.
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 = 59882825815200/(1x4140)
LCM = 59882825815200/4140
LCM = 14464450680
Thus, we can understand that the LCM of 309,920,690,697,438 is 14464450680.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 309, 920, 690, 697, 438?
Answer: LCM of 309, 920, 690, 697, 438 is 14464450680.
2. How to calculate the LCM of 309, 920, 690, 697, 438?
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 309, 920, 690, 697, 438.
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}.