LCM of 578, 901, 439, 612, 472
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 578, 901, 439, 612, 472 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 578, 901, 439, 612, 472. So, keep reading to learn more.
Given numbers are 578,901,439,612,472
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 578,901,439,612,472 is 28564244424.
Find LCM of 578,901,439,612,472 with Prime Factorization
| 2 | 578, 901, 439, 612, 472 |
| 2 | 289, 901, 439, 306, 236 |
| 17 | 289, 901, 439, 153, 118 |
| 17, 53, 439, 9, 118 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 17 x 17 x 53 x 439 x 9 x 118 = 28564244424
Therefore, the lowest common multiple of 578,901,439,612,472 is 28564244424.
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.
578 x 901 x 439 x 612 x 472 = 66040533108288
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.
578 : 1, 2, 17, 34, 289, 578
901 : 1, 17, 53, 901
439 : 1, 439
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
472 : 1, 2, 4, 8, 59, 118, 236, 472
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 578,901,439,612,472, is 1.
Now, the common factors can be found like this.
578:2x 17x 17
901:17x 53
439:439
612:2x 2x 3x 3x 17
472:2x 2x 2x 59
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 17x 17 = 2312
Therefore, the value for common factors is 2312.
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 = 66040533108288/(1x2312)
LCM = 66040533108288/2312
LCM = 28564244424
Thus, we can understand that the LCM of 578,901,439,612,472 is 28564244424.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 578, 901, 439, 612, 472
1. What is the LCM of 578, 901, 439, 612, 472?
Answer: LCM of 578, 901, 439, 612, 472 is 28564244424.
2. How to calculate the LCM of 578, 901, 439, 612, 472?
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 578, 901, 439, 612, 472.
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}.