Find the LCM of 302, 758, 210, 403, 689 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 302, 758, 210, 403, 689. So, keep reading to learn more.
Given numbers are 302,758,210,403,689
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 302,758,210,403,689 is 256694384310.
Find LCM of 302,758,210,403,689 with Prime Factorization
2 | 302, 758, 210, 403, 689 |
13 | 151, 379, 105, 403, 689 |
151, 379, 105, 31, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 151 x 379 x 105 x 31 x 53 = 256694384310
Therefore, the lowest common multiple of 302,758,210,403,689 is 256694384310.
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.
302 x 758 x 210 x 403 x 689 = 13348107984120
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.
302 : 1, 2, 151, 302
758 : 1, 2, 379, 758
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
403 : 1, 13, 31, 403
689 : 1, 13, 53, 689
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 302,758,210,403,689, is 1.
Now, the common factors can be found like this.
302:2x 151
758:2x 379
210:2x 3x 5x 7
403:13x 31
689:13x 53
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 13 = 52
Therefore, the value for common factors is 52.
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 = 13348107984120/(1x52)
LCM = 13348107984120/52
LCM = 256694384310
Thus, we can understand that the LCM of 302,758,210,403,689 is 256694384310.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 302, 758, 210, 403, 689?
Answer: LCM of 302, 758, 210, 403, 689 is 256694384310.
2. How to calculate the LCM of 302, 758, 210, 403, 689?
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 302, 758, 210, 403, 689.
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}.