LCM of 400, 896, 578, 612
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 400, 896, 578, 612 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 400, 896, 578, 612. So, keep reading to learn more.
Given numbers are 400,896,578,612
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 400,896,578,612 is 58262400.
Find LCM of 400,896,578,612 with Prime Factorization
| 2 | 400, 896, 578, 612 |
| 2 | 200, 448, 289, 306 |
| 2 | 100, 224, 289, 153 |
| 2 | 50, 112, 289, 153 |
| 17 | 25, 56, 289, 153 |
| 25, 56, 17, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 17 x 25 x 56 x 17 x 9 = 58262400
Therefore, the lowest common multiple of 400,896,578,612 is 58262400.
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.
400 x 896 x 578 x 612 = 126778982400
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.
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
578 : 1, 2, 17, 34, 289, 578
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 400,896,578,612, is 2.
Now, the common factors can be found like this.
400:2x 2x 2x 2x 5x 5
896:2x 2x 2x 2x 2x 2x 2x 7
578:2x 17x 17
612:2x 2x 3x 3x 17
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 2x 2x 17 = 1088
Therefore, the value for common factors is 1088.
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 = 126778982400/(2x1088)
LCM = 126778982400/2176
LCM = 58262400
Thus, we can understand that the LCM of 400,896,578,612 is 58262400.
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FAQs on LCM of 400, 896, 578, 612
1. What is the LCM of 400, 896, 578, 612?
Answer: LCM of 400, 896, 578, 612 is 58262400.
2. How to calculate the LCM of 400, 896, 578, 612?
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 400, 896, 578, 612.
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}.