LCM of 466, 695, 315, 537, 854
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 466, 695, 315, 537, 854 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 466, 695, 315, 537, 854. So, keep reading to learn more.
Given numbers are 466,695,315,537,854
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 466,695,315,537,854 is 222789201390.
Find LCM of 466,695,315,537,854 with Prime Factorization
| 2 | 466, 695, 315, 537, 854 |
| 3 | 233, 695, 315, 537, 427 |
| 5 | 233, 695, 105, 179, 427 |
| 7 | 233, 139, 21, 179, 427 |
| 233, 139, 3, 179, 61 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 233 x 139 x 3 x 179 x 61 = 222789201390
Therefore, the lowest common multiple of 466,695,315,537,854 is 222789201390.
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.
466 x 695 x 315 x 537 x 854 = 46785732291900
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.
466 : 1, 2, 233, 466
695 : 1, 5, 139, 695
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
537 : 1, 3, 179, 537
854 : 1, 2, 7, 14, 61, 122, 427, 854
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 466,695,315,537,854, is 1.
Now, the common factors can be found like this.
466:2x 233
695:5x 139
315:3x 3x 5x 7
537:3x 179
854:2x 7x 61
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 5x 7 = 210
Therefore, the value for common factors is 210.
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 = 46785732291900/(1x210)
LCM = 46785732291900/210
LCM = 222789201390
Thus, we can understand that the LCM of 466,695,315,537,854 is 222789201390.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 466, 695, 315, 537, 854
1. What is the LCM of 466, 695, 315, 537, 854?
Answer: LCM of 466, 695, 315, 537, 854 is 222789201390.
2. How to calculate the LCM of 466, 695, 315, 537, 854?
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 466, 695, 315, 537, 854.
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}.