Find the LCM of 445, 204, 626, 298, 894 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 445, 204, 626, 298, 894. So, keep reading to learn more.
Given numbers are 445,204,626,298,894
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 445,204,626,298,894 is 4233706860.
Find LCM of 445,204,626,298,894 with Prime Factorization
2 | 445, 204, 626, 298, 894 |
3 | 445, 102, 313, 149, 447 |
149 | 445, 34, 313, 149, 149 |
445, 34, 313, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 149 x 445 x 34 x 313 x 1 x 1 = 4233706860
Therefore, the lowest common multiple of 445,204,626,298,894 is 4233706860.
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.
445 x 204 x 626 x 298 x 894 = 15139735731360
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.
445 : 1, 5, 89, 445
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
626 : 1, 2, 313, 626
298 : 1, 2, 149, 298
894 : 1, 2, 3, 6, 149, 298, 447, 894
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 445,204,626,298,894, is 1.
Now, the common factors can be found like this.
445:5x 89
204:2x 2x 3x 17
626:2x 313
298:2x 149
894:2x 3x 149
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 149 = 3576
Therefore, the value for common factors is 3576.
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 = 15139735731360/(1x3576)
LCM = 15139735731360/3576
LCM = 4233706860
Thus, we can understand that the LCM of 445,204,626,298,894 is 4233706860.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 445, 204, 626, 298, 894?
Answer: LCM of 445, 204, 626, 298, 894 is 4233706860.
2. How to calculate the LCM of 445, 204, 626, 298, 894?
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 445, 204, 626, 298, 894.
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}.