LCM of 461, 513, 361, 956, 818
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 461, 513, 361, 956, 818 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 461, 513, 361, 956, 818. So, keep reading to learn more.
Given numbers are 461,513,361,956,818
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 461,513,361,956,818 is 1756924470468.
Find LCM of 461,513,361,956,818 with Prime Factorization
| 2 | 461, 513, 361, 956, 818 |
| 19 | 461, 513, 361, 478, 409 |
| 461, 27, 19, 478, 409 |
Multiply the prime numbers at the bottom and the left side.
2 x 19 x 461 x 27 x 19 x 478 x 409 = 1756924470468
Therefore, the lowest common multiple of 461,513,361,956,818 is 1756924470468.
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.
461 x 513 x 361 x 956 x 818 = 66763129877784
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.
461 : 1, 461
513 : 1, 3, 9, 19, 27, 57, 171, 513
361 : 1, 19, 361
956 : 1, 2, 4, 239, 478, 956
818 : 1, 2, 409, 818
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 461,513,361,956,818, is 1.
Now, the common factors can be found like this.
461:461
513:3x 3x 3x 19
361:19x 19
956:2x 2x 239
818:2x 409
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 19 = 38
Therefore, the value for common factors is 38.
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 = 66763129877784/(1x38)
LCM = 66763129877784/38
LCM = 1756924470468
Thus, we can understand that the LCM of 461,513,361,956,818 is 1756924470468.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 461, 513, 361, 956, 818
1. What is the LCM of 461, 513, 361, 956, 818?
Answer: LCM of 461, 513, 361, 956, 818 is 1756924470468.
2. How to calculate the LCM of 461, 513, 361, 956, 818?
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 461, 513, 361, 956, 818.
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}.