LCM of 368, 458, 610, 345
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 368, 458, 610, 345 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 368, 458, 610, 345. So, keep reading to learn more.
Given numbers are 368,458,610,345
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 368,458,610,345 is 77108880.
Find LCM of 368,458,610,345 with Prime Factorization
| 2 | 368, 458, 610, 345 |
| 5 | 184, 229, 305, 345 |
| 23 | 184, 229, 61, 69 |
| 8, 229, 61, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 23 x 8 x 229 x 61 x 3 = 77108880
Therefore, the lowest common multiple of 368,458,610,345 is 77108880.
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.
368 x 458 x 610 x 345 = 35470084800
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.
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
458 : 1, 2, 229, 458
610 : 1, 2, 5, 10, 61, 122, 305, 610
345 : 1, 3, 5, 15, 23, 69, 115, 345
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 368,458,610,345, is 1.
Now, the common factors can be found like this.
368:2x 2x 2x 2x 23
458:2x 229
610:2x 5x 61
345:3x 5x 23
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 5x 23 = 460
Therefore, the value for common factors is 460.
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 = 35470084800/(1x460)
LCM = 35470084800/460
LCM = 77108880
Thus, we can understand that the LCM of 368,458,610,345 is 77108880.
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FAQs on LCM of 368, 458, 610, 345
1. What is the LCM of 368, 458, 610, 345?
Answer: LCM of 368, 458, 610, 345 is 77108880.
2. How to calculate the LCM of 368, 458, 610, 345?
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 368, 458, 610, 345.
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}.