Find the LCM of 203, 138, 641, 690, 390 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 203, 138, 641, 690, 390. So, keep reading to learn more.
Given numbers are 203,138,641,690,390
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 203,138,641,690,390 is 1167203310.
Find LCM of 203,138,641,690,390 with Prime Factorization
2 | 203, 138, 641, 690, 390 |
3 | 203, 69, 641, 345, 195 |
5 | 203, 23, 641, 115, 65 |
23 | 203, 23, 641, 23, 13 |
203, 1, 641, 1, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 23 x 203 x 1 x 641 x 1 x 13 = 1167203310
Therefore, the lowest common multiple of 203,138,641,690,390 is 1167203310.
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.
203 x 138 x 641 x 690 x 390 = 4832221703400
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.
203 : 1, 7, 29, 203
138 : 1, 2, 3, 6, 23, 46, 69, 138
641 : 1, 641
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 203,138,641,690,390, is 1.
Now, the common factors can be found like this.
203:7x 29
138:2x 3x 23
641:641
690:2x 3x 5x 23
390:2x 3x 5x 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 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 = 4832221703400/(1x4140)
LCM = 4832221703400/4140
LCM = 1167203310
Thus, we can understand that the LCM of 203,138,641,690,390 is 1167203310.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 203, 138, 641, 690, 390?
Answer: LCM of 203, 138, 641, 690, 390 is 1167203310.
2. How to calculate the LCM of 203, 138, 641, 690, 390?
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 203, 138, 641, 690, 390.
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}.