Find the LCM of 899, 732, 713, 676, 294 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 899, 732, 713, 676, 294. So, keep reading to learn more.
Given numbers are 899,732,713,676,294
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 899,732,713,676,294 is 125337605484.
Find LCM of 899,732,713,676,294 with Prime Factorization
2 | 899, 732, 713, 676, 294 |
2 | 899, 366, 713, 338, 147 |
3 | 899, 183, 713, 169, 147 |
31 | 899, 61, 713, 169, 49 |
29, 61, 23, 169, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 31 x 29 x 61 x 23 x 169 x 49 = 125337605484
Therefore, the lowest common multiple of 899,732,713,676,294 is 125337605484.
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.
899 x 732 x 713 x 676 x 294 = 93251178480096
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.
899 : 1, 29, 31, 899
732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
713 : 1, 23, 31, 713
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 899,732,713,676,294, is 1.
Now, the common factors can be found like this.
899:29x 31
732:2x 2x 3x 61
713:23x 31
676:2x 2x 13x 13
294:2x 3x 7x 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 3x 31 = 744
Therefore, the value for common factors is 744.
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 = 93251178480096/(1x744)
LCM = 93251178480096/744
LCM = 125337605484
Thus, we can understand that the LCM of 899,732,713,676,294 is 125337605484.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 899, 732, 713, 676, 294?
Answer: LCM of 899, 732, 713, 676, 294 is 125337605484.
2. How to calculate the LCM of 899, 732, 713, 676, 294?
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 899, 732, 713, 676, 294.
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}.