LCM of 301, 516, 368, 653, 101
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 301, 516, 368, 653, 101 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 301, 516, 368, 653, 101. So, keep reading to learn more.
Given numbers are 301,516,368,653,101
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 301,516,368,653,101 is 21916445712.
Find LCM of 301,516,368,653,101 with Prime Factorization
| 2 | 301, 516, 368, 653, 101 |
| 2 | 301, 258, 184, 653, 101 |
| 43 | 301, 129, 92, 653, 101 |
| 7, 3, 92, 653, 101 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 43 x 7 x 3 x 92 x 653 x 101 = 21916445712
Therefore, the lowest common multiple of 301,516,368,653,101 is 21916445712.
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.
301 x 516 x 368 x 653 x 101 = 3769628662464
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.
301 : 1, 7, 43, 301
516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
653 : 1, 653
101 : 1, 101
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 301,516,368,653,101, is 1.
Now, the common factors can be found like this.
301:7x 43
516:2x 2x 3x 43
368:2x 2x 2x 2x 23
653:653
101:101
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 43 = 172
Therefore, the value for common factors is 172.
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 = 3769628662464/(1x172)
LCM = 3769628662464/172
LCM = 21916445712
Thus, we can understand that the LCM of 301,516,368,653,101 is 21916445712.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 301, 516, 368, 653, 101
1. What is the LCM of 301, 516, 368, 653, 101?
Answer: LCM of 301, 516, 368, 653, 101 is 21916445712.
2. How to calculate the LCM of 301, 516, 368, 653, 101?
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 301, 516, 368, 653, 101.
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}.