Find the LCM of 315, 336, 723, 524, 951 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 315, 336, 723, 524, 951. So, keep reading to learn more.
Given numbers are 315,336,723,524,951
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 315,336,723,524,951 is 50440355280.
Find LCM of 315,336,723,524,951 with Prime Factorization
2 | 315, 336, 723, 524, 951 |
2 | 315, 168, 723, 262, 951 |
3 | 315, 84, 723, 131, 951 |
7 | 105, 28, 241, 131, 317 |
15, 4, 241, 131, 317 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 15 x 4 x 241 x 131 x 317 = 50440355280
Therefore, the lowest common multiple of 315,336,723,524,951 is 50440355280.
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.
315 x 336 x 723 x 524 x 951 = 38132908591680
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.
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
723 : 1, 3, 241, 723
524 : 1, 2, 4, 131, 262, 524
951 : 1, 3, 317, 951
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 315,336,723,524,951, is 1.
Now, the common factors can be found like this.
315:3x 3x 5x 7
336:2x 2x 2x 2x 3x 7
723:3x 241
524:2x 2x 131
951:3x 317
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 3x 7 = 756
Therefore, the value for common factors is 756.
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 = 38132908591680/(1x756)
LCM = 38132908591680/756
LCM = 50440355280
Thus, we can understand that the LCM of 315,336,723,524,951 is 50440355280.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 315, 336, 723, 524, 951?
Answer: LCM of 315, 336, 723, 524, 951 is 50440355280.
2. How to calculate the LCM of 315, 336, 723, 524, 951?
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 315, 336, 723, 524, 951.
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}.