Find the LCM of 520, 148, 756, 703, 603 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 520, 148, 756, 703, 603. So, keep reading to learn more.
Given numbers are 520,148,756,703,603
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 520,148,756,703,603 is 4629086280.
Find LCM of 520,148,756,703,603 with Prime Factorization
2 | 520, 148, 756, 703, 603 |
2 | 260, 74, 378, 703, 603 |
3 | 130, 37, 189, 703, 603 |
3 | 130, 37, 63, 703, 201 |
37 | 130, 37, 21, 703, 67 |
130, 1, 21, 19, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 37 x 130 x 1 x 21 x 19 x 67 = 4629086280
Therefore, the lowest common multiple of 520,148,756,703,603 is 4629086280.
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.
520 x 148 x 756 x 703 x 603 = 24663771699840
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.
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
148 : 1, 2, 4, 37, 74, 148
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
703 : 1, 19, 37, 703
603 : 1, 3, 9, 67, 201, 603
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 520,148,756,703,603, is 1.
Now, the common factors can be found like this.
520:2x 2x 2x 5x 13
148:2x 2x 37
756:2x 2x 3x 3x 3x 7
703:19x 37
603:3x 3x 67
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 2x 3x 3x 37 = 5328
Therefore, the value for common factors is 5328.
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 = 24663771699840/(1x5328)
LCM = 24663771699840/5328
LCM = 4629086280
Thus, we can understand that the LCM of 520,148,756,703,603 is 4629086280.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 520, 148, 756, 703, 603?
Answer: LCM of 520, 148, 756, 703, 603 is 4629086280.
2. How to calculate the LCM of 520, 148, 756, 703, 603?
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 520, 148, 756, 703, 603.
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}.