LCM of 949, 946, 602, 302, 599
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 949, 946, 602, 302, 599 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 949, 946, 602, 302, 599. So, keep reading to learn more.
Given numbers are 949,946,602,302,599
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 949,946,602,302,599 is 568406660822.
Find LCM of 949,946,602,302,599 with Prime Factorization
| 2 | 949, 946, 602, 302, 599 |
| 43 | 949, 473, 301, 151, 599 |
| 949, 11, 7, 151, 599 |
Multiply the prime numbers at the bottom and the left side.
2 x 43 x 949 x 11 x 7 x 151 x 599 = 568406660822
Therefore, the lowest common multiple of 949,946,602,302,599 is 568406660822.
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.
949 x 946 x 602 x 302 x 599 = 97765945661384
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.
949 : 1, 13, 73, 949
946 : 1, 2, 11, 22, 43, 86, 473, 946
602 : 1, 2, 7, 14, 43, 86, 301, 602
302 : 1, 2, 151, 302
599 : 1, 599
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 949,946,602,302,599, is 1.
Now, the common factors can be found like this.
949:13x 73
946:2x 11x 43
602:2x 7x 43
302:2x 151
599:599
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 = 97765945661384/(1x172)
LCM = 97765945661384/172
LCM = 568406660822
Thus, we can understand that the LCM of 949,946,602,302,599 is 568406660822.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 949, 946, 602, 302, 599
1. What is the LCM of 949, 946, 602, 302, 599?
Answer: LCM of 949, 946, 602, 302, 599 is 568406660822.
2. How to calculate the LCM of 949, 946, 602, 302, 599?
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 949, 946, 602, 302, 599.
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}.