Find the LCM of 302, 411, 470, 901, 371 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, 411, 470, 901, 371. So, keep reading to learn more.
Given numbers are 302,411,470,901,371
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 302,411,470,901,371 is 183966801690.
Find LCM of 302,411,470,901,371 with Prime Factorization
2 | 302, 411, 470, 901, 371 |
53 | 151, 411, 235, 901, 371 |
151, 411, 235, 17, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 53 x 151 x 411 x 235 x 17 x 7 = 183966801690
Therefore, the lowest common multiple of 302,411,470,901,371 is 183966801690.
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 411 x 470 x 901 x 371 = 19500480979140
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
411 : 1, 3, 137, 411
470 : 1, 2, 5, 10, 47, 94, 235, 470
901 : 1, 17, 53, 901
371 : 1, 7, 53, 371
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 302,411,470,901,371, is 1.
Now, the common factors can be found like this.
302:2x 151
411:3x 137
470:2x 5x 47
901:17x 53
371:7x 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 53 = 106
Therefore, the value for common factors is 106.
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 = 19500480979140/(1x106)
LCM = 19500480979140/106
LCM = 183966801690
Thus, we can understand that the LCM of 302,411,470,901,371 is 183966801690.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 302, 411, 470, 901, 371?
Answer: LCM of 302, 411, 470, 901, 371 is 183966801690.
2. How to calculate the LCM of 302, 411, 470, 901, 371?
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, 411, 470, 901, 371.
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}.