LCM of 408, 867, 578, 294
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 408, 867, 578, 294 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 408, 867, 578, 294. So, keep reading to learn more.
Given numbers are 408,867,578,294
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 408,867,578,294 is 339864.
Find LCM of 408,867,578,294 with Prime Factorization
| 2 | 408, 867, 578, 294 |
| 3 | 204, 867, 289, 147 |
| 17 | 68, 289, 289, 49 |
| 17 | 4, 17, 17, 49 |
| 4, 1, 1, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 17 x 4 x 1 x 1 x 49 = 339864
Therefore, the lowest common multiple of 408,867,578,294 is 339864.
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.
408 x 867 x 578 x 294 = 60111065952
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.
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
867 : 1, 3, 17, 51, 289, 867
578 : 1, 2, 17, 34, 289, 578
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 408,867,578,294, is 1.
Now, the common factors can be found like this.
408:2x 2x 2x 3x 17
867:3x 17x 17
578:2x 17x 17
294:2x 3x 7x 7
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 3x 3x 17x 17x 17 = 176868
Therefore, the value for common factors is 176868.
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 = 60111065952/(1x176868)
LCM = 60111065952/176868
LCM = 339864
Thus, we can understand that the LCM of 408,867,578,294 is 339864.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 408, 867, 578, 294
1. What is the LCM of 408, 867, 578, 294?
Answer: LCM of 408, 867, 578, 294 is 339864.
2. How to calculate the LCM of 408, 867, 578, 294?
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 408, 867, 578, 294.
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}.