Find the LCM of 435, 520, 263, 520, 601 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 435, 520, 263, 520, 601. So, keep reading to learn more.
Given numbers are 435,520,263,520,601
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 435,520,263,520,601 is 7150770120.
Find LCM of 435,520,263,520,601 with Prime Factorization
2 | 435, 520, 263, 520, 601 |
2 | 435, 260, 263, 260, 601 |
2 | 435, 130, 263, 130, 601 |
5 | 435, 65, 263, 65, 601 |
13 | 87, 13, 263, 13, 601 |
87, 1, 263, 1, 601 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 13 x 87 x 1 x 263 x 1 x 601 = 7150770120
Therefore, the lowest common multiple of 435,520,263,520,601 is 7150770120.
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.
435 x 520 x 263 x 520 x 601 = 18592002312000
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.
435 : 1, 3, 5, 15, 29, 87, 145, 435
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
263 : 1, 263
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
601 : 1, 601
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 435,520,263,520,601, is 1.
Now, the common factors can be found like this.
435:3x 5x 29
520:2x 2x 2x 5x 13
263:263
520:2x 2x 2x 5x 13
601:601
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 5x 5x 13 = 2600
Therefore, the value for common factors is 2600.
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 = 18592002312000/(1x2600)
LCM = 18592002312000/2600
LCM = 7150770120
Thus, we can understand that the LCM of 435,520,263,520,601 is 7150770120.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 435, 520, 263, 520, 601?
Answer: LCM of 435, 520, 263, 520, 601 is 7150770120.
2. How to calculate the LCM of 435, 520, 263, 520, 601?
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 435, 520, 263, 520, 601.
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}.