LCM of 230, 507, 368, 260, 278
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 230, 507, 368, 260, 278 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 230, 507, 368, 260, 278. So, keep reading to learn more.
Given numbers are 230,507,368,260,278
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 230,507,368,260,278 is 129670320.
Find LCM of 230,507,368,260,278 with Prime Factorization
| 2 | 230, 507, 368, 260, 278 |
| 2 | 115, 507, 184, 130, 139 |
| 5 | 115, 507, 92, 65, 139 |
| 13 | 23, 507, 92, 13, 139 |
| 23 | 23, 39, 92, 1, 139 |
| 1, 39, 4, 1, 139 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 13 x 23 x 1 x 39 x 4 x 1 x 139 = 129670320
Therefore, the lowest common multiple of 230,507,368,260,278 is 129670320.
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.
230 x 507 x 368 x 260 x 278 = 3101714054400
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.
230 : 1, 2, 5, 10, 23, 46, 115, 230
507 : 1, 3, 13, 39, 169, 507
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
278 : 1, 2, 139, 278
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 230,507,368,260,278, is 1.
Now, the common factors can be found like this.
230:2x 5x 23
507:3x 13x 13
368:2x 2x 2x 2x 23
260:2x 2x 5x 13
278:2x 139
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 2x 2x 5x 13x 23 = 23920
Therefore, the value for common factors is 23920.
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 = 3101714054400/(1x23920)
LCM = 3101714054400/23920
LCM = 129670320
Thus, we can understand that the LCM of 230,507,368,260,278 is 129670320.
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FAQs on LCM of 230, 507, 368, 260, 278
1. What is the LCM of 230, 507, 368, 260, 278?
Answer: LCM of 230, 507, 368, 260, 278 is 129670320.
2. How to calculate the LCM of 230, 507, 368, 260, 278?
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 230, 507, 368, 260, 278.
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}.