Find the LCM of 910, 298, 302, 862, 302 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 910, 298, 302, 862, 302. So, keep reading to learn more.
Given numbers are 910,298,302,862,302
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 910,298,302,862,302 is 8824332790.
Find LCM of 910,298,302,862,302 with Prime Factorization
2 | 910, 298, 302, 862, 302 |
151 | 455, 149, 151, 431, 151 |
455, 149, 1, 431, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 151 x 455 x 149 x 1 x 431 x 1 = 8824332790
Therefore, the lowest common multiple of 910,298,302,862,302 is 8824332790.
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.
910 x 298 x 302 x 862 x 302 = 21319588020640
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.
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
298 : 1, 2, 149, 298
302 : 1, 2, 151, 302
862 : 1, 2, 431, 862
302 : 1, 2, 151, 302
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 910,298,302,862,302, is 2.
Now, the common factors can be found like this.
910:2x 5x 7x 13
298:2x 149
302:2x 151
862:2x 431
302:2x 151
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 151 = 1208
Therefore, the value for common factors is 1208.
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 = 21319588020640/(2x1208)
LCM = 21319588020640/2416
LCM = 8824332790
Thus, we can understand that the LCM of 910,298,302,862,302 is 8824332790.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 910, 298, 302, 862, 302?
Answer: LCM of 910, 298, 302, 862, 302 is 8824332790.
2. How to calculate the LCM of 910, 298, 302, 862, 302?
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 910, 298, 302, 862, 302.
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}.