LCM of 697, 544, 216, 451
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 697, 544, 216, 451 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 697, 544, 216, 451. So, keep reading to learn more.
Given numbers are 697,544,216,451
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 697,544,216,451 is 6624288.
Find LCM of 697,544,216,451 with Prime Factorization
| 2 | 697, 544, 216, 451 |
| 2 | 697, 272, 108, 451 |
| 2 | 697, 136, 54, 451 |
| 17 | 697, 68, 27, 451 |
| 41 | 41, 4, 27, 451 |
| 1, 4, 27, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 17 x 41 x 1 x 4 x 27 x 11 = 6624288
Therefore, the lowest common multiple of 697,544,216,451 is 6624288.
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.
697 x 544 x 216 x 451 = 36937029888
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.
697 : 1, 17, 41, 697
544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
451 : 1, 11, 41, 451
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 697,544,216,451, is 1.
Now, the common factors can be found like this.
697:17x 41
544:2x 2x 2x 2x 2x 17
216:2x 2x 2x 3x 3x 3
451:11x 41
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 41 = 5576
Therefore, the value for common factors is 5576.
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 = 36937029888/(1x5576)
LCM = 36937029888/5576
LCM = 6624288
Thus, we can understand that the LCM of 697,544,216,451 is 6624288.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 697, 544, 216, 451
1. What is the LCM of 697, 544, 216, 451?
Answer: LCM of 697, 544, 216, 451 is 6624288.
2. How to calculate the LCM of 697, 544, 216, 451?
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 697, 544, 216, 451.
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}.