Find the LCM of 513, 560, 392, 836, 525 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 513, 560, 392, 836, 525. So, keep reading to learn more.
Given numbers are 513,560,392,836,525
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 513,560,392,836,525 is 110602800.
Find LCM of 513,560,392,836,525 with Prime Factorization
2 | 513, 560, 392, 836, 525 |
2 | 513, 280, 196, 418, 525 |
2 | 513, 140, 98, 209, 525 |
3 | 513, 70, 49, 209, 525 |
5 | 171, 70, 49, 209, 175 |
7 | 171, 14, 49, 209, 35 |
19 | 171, 2, 7, 209, 5 |
9, 2, 7, 11, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 7 x 19 x 9 x 2 x 7 x 11 x 5 = 110602800
Therefore, the lowest common multiple of 513,560,392,836,525 is 110602800.
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.
513 x 560 x 392 x 836 x 525 = 49426179264000
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.
513 : 1, 3, 9, 19, 27, 57, 171, 513
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,560,392,836,525, is 1.
Now, the common factors can be found like this.
513:3x 3x 3x 19
560:2x 2x 2x 2x 5x 7
392:2x 2x 2x 7x 7
836:2x 2x 11x 19
525:3x 5x 5x 7
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 2x 3x 5x 7x 7x 19 = 446880
Therefore, the value for common factors is 446880.
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 = 49426179264000/(1x446880)
LCM = 49426179264000/446880
LCM = 110602800
Thus, we can understand that the LCM of 513,560,392,836,525 is 110602800.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 513, 560, 392, 836, 525?
Answer: LCM of 513, 560, 392, 836, 525 is 110602800.
2. How to calculate the LCM of 513, 560, 392, 836, 525?
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 513, 560, 392, 836, 525.
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}.