LCM of 574, 811, 464, 435, 972
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 574, 811, 464, 435, 972 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 574, 811, 464, 435, 972. So, keep reading to learn more.
Given numbers are 574,811,464,435,972
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 574,811,464,435,972 is 131219086320.
Find LCM of 574,811,464,435,972 with Prime Factorization
| 2 | 574, 811, 464, 435, 972 |
| 2 | 287, 811, 232, 435, 486 |
| 3 | 287, 811, 116, 435, 243 |
| 29 | 287, 811, 116, 145, 81 |
| 287, 811, 4, 5, 81 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 29 x 287 x 811 x 4 x 5 x 81 = 131219086320
Therefore, the lowest common multiple of 574,811,464,435,972 is 131219086320.
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.
574 x 811 x 464 x 435 x 972 = 91328484078720
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.
574 : 1, 2, 7, 14, 41, 82, 287, 574
811 : 1, 811
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
435 : 1, 3, 5, 15, 29, 87, 145, 435
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 574,811,464,435,972, is 1.
Now, the common factors can be found like this.
574:2x 7x 41
811:811
464:2x 2x 2x 2x 29
435:3x 5x 29
972:2x 2x 3x 3x 3x 3x 3
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 3x 29 = 696
Therefore, the value for common factors is 696.
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 = 91328484078720/(1x696)
LCM = 91328484078720/696
LCM = 131219086320
Thus, we can understand that the LCM of 574,811,464,435,972 is 131219086320.
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FAQs on LCM of 574, 811, 464, 435, 972
1. What is the LCM of 574, 811, 464, 435, 972?
Answer: LCM of 574, 811, 464, 435, 972 is 131219086320.
2. How to calculate the LCM of 574, 811, 464, 435, 972?
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 574, 811, 464, 435, 972.
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}.