LCM of 697, 371, 414, 462, 297
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 697, 371, 414, 462, 297 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, 371, 414, 462, 297. So, keep reading to learn more.
Given numbers are 697,371,414,462,297
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 697,371,414,462,297 is 3532815594.
Find LCM of 697,371,414,462,297 with Prime Factorization
| 2 | 697, 371, 414, 462, 297 |
| 3 | 697, 371, 207, 231, 297 |
| 3 | 697, 371, 69, 77, 99 |
| 7 | 697, 371, 23, 77, 33 |
| 11 | 697, 53, 23, 11, 33 |
| 697, 53, 23, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 11 x 697 x 53 x 23 x 1 x 3 = 3532815594
Therefore, the lowest common multiple of 697,371,414,462,297 is 3532815594.
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 371 x 414 x 462 x 297 = 14689447239852
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
371 : 1, 7, 53, 371
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
297 : 1, 3, 9, 11, 27, 33, 99, 297
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 697,371,414,462,297, is 1.
Now, the common factors can be found like this.
697:17x 41
371:7x 53
414:2x 3x 3x 23
462:2x 3x 7x 11
297:3x 3x 3x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 7x 11 = 4158
Therefore, the value for common factors is 4158.
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 = 14689447239852/(1x4158)
LCM = 14689447239852/4158
LCM = 3532815594
Thus, we can understand that the LCM of 697,371,414,462,297 is 3532815594.
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FAQs on LCM of 697, 371, 414, 462, 297
1. What is the LCM of 697, 371, 414, 462, 297?
Answer: LCM of 697, 371, 414, 462, 297 is 3532815594.
2. How to calculate the LCM of 697, 371, 414, 462, 297?
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, 371, 414, 462, 297.
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}.