Find the LCM of 326, 910, 507, 357 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 326, 910, 507, 357. So, keep reading to learn more.
Given numbers are 326,910,507,357
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 326,910,507,357 is 98342790.
Find LCM of 326,910,507,357 with Prime Factorization
2 | 326, 910, 507, 357 |
3 | 163, 455, 507, 357 |
7 | 163, 455, 169, 119 |
13 | 163, 65, 169, 17 |
163, 5, 13, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 13 x 163 x 5 x 13 x 17 = 98342790
Therefore, the lowest common multiple of 326,910,507,357 is 98342790.
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.
326 x 910 x 507 x 357 = 53695163340
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.
326 : 1, 2, 163, 326
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
507 : 1, 3, 13, 39, 169, 507
357 : 1, 3, 7, 17, 21, 51, 119, 357
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 326,910,507,357, is 1.
Now, the common factors can be found like this.
326:2x 163
910:2x 5x 7x 13
507:3x 13x 13
357:3x 7x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 7x 13 = 546
Therefore, the value for common factors is 546.
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 = 53695163340/(1x546)
LCM = 53695163340/546
LCM = 98342790
Thus, we can understand that the LCM of 326,910,507,357 is 98342790.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 326, 910, 507, 357?
Answer: LCM of 326, 910, 507, 357 is 98342790.
2. How to calculate the LCM of 326, 910, 507, 357?
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 326, 910, 507, 357.
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}.