LCM of 554, 717, 801, 594, 534
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 554, 717, 801, 594, 534 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 554, 717, 801, 594, 534. So, keep reading to learn more.
Given numbers are 554,717,801,594,534
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 554,717,801,594,534 is 3499887798.
Find LCM of 554,717,801,594,534 with Prime Factorization
| 2 | 554, 717, 801, 594, 534 |
| 3 | 277, 717, 801, 297, 267 |
| 3 | 277, 239, 89, 99, 267 |
| 89 | 277, 239, 89, 33, 89 |
| 277, 239, 1, 33, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 89 x 277 x 239 x 1 x 33 x 1 = 3499887798
Therefore, the lowest common multiple of 554,717,801,594,534 is 3499887798.
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.
554 x 717 x 801 x 594 x 534 = 100922764543128
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.
554 : 1, 2, 277, 554
717 : 1, 3, 239, 717
801 : 1, 3, 9, 89, 267, 801
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
534 : 1, 2, 3, 6, 89, 178, 267, 534
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 554,717,801,594,534, is 1.
Now, the common factors can be found like this.
554:2x 277
717:3x 239
801:3x 3x 89
594:2x 3x 3x 3x 11
534:2x 3x 89
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 3x 3x 89 = 28836
Therefore, the value for common factors is 28836.
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 = 100922764543128/(1x28836)
LCM = 100922764543128/28836
LCM = 3499887798
Thus, we can understand that the LCM of 554,717,801,594,534 is 3499887798.
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FAQs on LCM of 554, 717, 801, 594, 534
1. What is the LCM of 554, 717, 801, 594, 534?
Answer: LCM of 554, 717, 801, 594, 534 is 3499887798.
2. How to calculate the LCM of 554, 717, 801, 594, 534?
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 554, 717, 801, 594, 534.
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}.