Find the LCM of 318, 334, 504, 657, 431 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 318, 334, 504, 657, 431. So, keep reading to learn more.
Given numbers are 318,334,504,657,431
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 318,334,504,657,431 is 140353422552.
Find LCM of 318,334,504,657,431 with Prime Factorization
2 | 318, 334, 504, 657, 431 |
3 | 159, 167, 252, 657, 431 |
3 | 53, 167, 84, 219, 431 |
53, 167, 28, 73, 431 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 53 x 167 x 28 x 73 x 431 = 140353422552
Therefore, the lowest common multiple of 318,334,504,657,431 is 140353422552.
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.
318 x 334 x 504 x 657 x 431 = 15158169635616
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.
318 : 1, 2, 3, 6, 53, 106, 159, 318
334 : 1, 2, 167, 334
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
657 : 1, 3, 9, 73, 219, 657
431 : 1, 431
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 318,334,504,657,431, is 1.
Now, the common factors can be found like this.
318:2x 3x 53
334:2x 167
504:2x 2x 2x 3x 3x 7
657:3x 3x 73
431:431
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 3 = 108
Therefore, the value for common factors is 108.
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 = 15158169635616/(1x108)
LCM = 15158169635616/108
LCM = 140353422552
Thus, we can understand that the LCM of 318,334,504,657,431 is 140353422552.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 318, 334, 504, 657, 431?
Answer: LCM of 318, 334, 504, 657, 431 is 140353422552.
2. How to calculate the LCM of 318, 334, 504, 657, 431?
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 318, 334, 504, 657, 431.
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}.