Find the LCM of 910, 337, 858, 611, 988 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, 337, 858, 611, 988. So, keep reading to learn more.
Given numbers are 910,337,858,611,988
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 910,337,858,611,988 is 18074516460.
Find LCM of 910,337,858,611,988 with Prime Factorization
2 | 910, 337, 858, 611, 988 |
13 | 455, 337, 429, 611, 494 |
35, 337, 33, 47, 38 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 35 x 337 x 33 x 47 x 38 = 18074516460
Therefore, the lowest common multiple of 910,337,858,611,988 is 18074516460.
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 337 x 858 x 611 x 988 = 158838850650480
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
337 : 1, 337
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
611 : 1, 13, 47, 611
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 910,337,858,611,988, is 1.
Now, the common factors can be found like this.
910:2x 5x 7x 13
337:337
858:2x 3x 11x 13
611:13x 47
988:2x 2x 13x 19
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 13x 13x 13 = 8788
Therefore, the value for common factors is 8788.
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 = 158838850650480/(1x8788)
LCM = 158838850650480/8788
LCM = 18074516460
Thus, we can understand that the LCM of 910,337,858,611,988 is 18074516460.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 910, 337, 858, 611, 988?
Answer: LCM of 910, 337, 858, 611, 988 is 18074516460.
2. How to calculate the LCM of 910, 337, 858, 611, 988?
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, 337, 858, 611, 988.
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}.