LCM of 507, 141, 163, 470, 309
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 507, 141, 163, 470, 309 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 507, 141, 163, 470, 309. So, keep reading to learn more.
Given numbers are 507,141,163,470,309
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 507,141,163,470,309 is 4000650810.
Find LCM of 507,141,163,470,309 with Prime Factorization
| 3 | 507, 141, 163, 470, 309 |
| 47 | 169, 47, 163, 470, 103 |
| 169, 1, 163, 10, 103 |
Multiply the prime numbers at the bottom and the left side.
3 x 47 x 169 x 1 x 163 x 10 x 103 = 4000650810
Therefore, the lowest common multiple of 507,141,163,470,309 is 4000650810.
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.
507 x 141 x 163 x 470 x 309 = 1692275292630
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.
507 : 1, 3, 13, 39, 169, 507
141 : 1, 3, 47, 141
163 : 1, 163
470 : 1, 2, 5, 10, 47, 94, 235, 470
309 : 1, 3, 103, 309
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 507,141,163,470,309, is 1.
Now, the common factors can be found like this.
507:3x 13x 13
141:3x 47
163:163
470:2x 5x 47
309:3x 103
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 47 = 423
Therefore, the value for common factors is 423.
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 = 1692275292630/(1x423)
LCM = 1692275292630/423
LCM = 4000650810
Thus, we can understand that the LCM of 507,141,163,470,309 is 4000650810.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 507, 141, 163, 470, 309
1. What is the LCM of 507, 141, 163, 470, 309?
Answer: LCM of 507, 141, 163, 470, 309 is 4000650810.
2. How to calculate the LCM of 507, 141, 163, 470, 309?
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 507, 141, 163, 470, 309.
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}.