Find the LCM of 907, 638, 493, 907 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 907, 638, 493, 907. So, keep reading to learn more.
Given numbers are 907,638,493,907
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 907,638,493,907 is 9837322.
Find LCM of 907,638,493,907 with Prime Factorization
29 | 907, 638, 493, 907 |
907 | 907, 22, 17, 907 |
1, 22, 17, 1 |
Multiply the prime numbers at the bottom and the left side.
29 x 907 x 1 x 22 x 17 x 1 = 9837322
Therefore, the lowest common multiple of 907,638,493,907 is 9837322.
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.
907 x 638 x 493 x 907 = 258751080566
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.
907 : 1, 907
638 : 1, 2, 11, 22, 29, 58, 319, 638
493 : 1, 17, 29, 493
907 : 1, 907
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 907,638,493,907, is 1.
Now, the common factors can be found like this.
907:907
638:2x 11x 29
493:17x 29
907:907
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
29x 907 = 26303
Therefore, the value for common factors is 26303.
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 = 258751080566/(1x26303)
LCM = 258751080566/26303
LCM = 9837322
Thus, we can understand that the LCM of 907,638,493,907 is 9837322.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 907, 638, 493, 907?
Answer: LCM of 907, 638, 493, 907 is 9837322.
2. How to calculate the LCM of 907, 638, 493, 907?
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 907, 638, 493, 907.
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}.