LCM of 464, 631, 697, 186, 510
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 464, 631, 697, 186, 510 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 464, 631, 697, 186, 510. So, keep reading to learn more.
Given numbers are 464,631,697,186,510
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 464,631,697,186,510 is 94892758320.
Find LCM of 464,631,697,186,510 with Prime Factorization
| 2 | 464, 631, 697, 186, 510 |
| 3 | 232, 631, 697, 93, 255 |
| 17 | 232, 631, 697, 31, 85 |
| 232, 631, 41, 31, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 232 x 631 x 41 x 31 x 5 = 94892758320
Therefore, the lowest common multiple of 464,631,697,186,510 is 94892758320.
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.
464 x 631 x 697 x 186 x 510 = 19358122697280
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.
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
631 : 1, 631
697 : 1, 17, 41, 697
186 : 1, 2, 3, 6, 31, 62, 93, 186
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 464,631,697,186,510, is 1.
Now, the common factors can be found like this.
464:2x 2x 2x 2x 29
631:631
697:17x 41
186:2x 3x 31
510:2x 3x 5x 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 3x 17 = 204
Therefore, the value for common factors is 204.
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 = 19358122697280/(1x204)
LCM = 19358122697280/204
LCM = 94892758320
Thus, we can understand that the LCM of 464,631,697,186,510 is 94892758320.
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FAQs on LCM of 464, 631, 697, 186, 510
1. What is the LCM of 464, 631, 697, 186, 510?
Answer: LCM of 464, 631, 697, 186, 510 is 94892758320.
2. How to calculate the LCM of 464, 631, 697, 186, 510?
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 464, 631, 697, 186, 510.
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}.