LCM of 654, 506, 572, 412, 913
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 654, 506, 572, 412, 913 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 654, 506, 572, 412, 913. So, keep reading to learn more.
Given numbers are 654,506,572,412,913
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 654,506,572,412,913 is 36777900588.
Find LCM of 654,506,572,412,913 with Prime Factorization
| 2 | 654, 506, 572, 412, 913 |
| 2 | 327, 253, 286, 206, 913 |
| 11 | 327, 253, 143, 103, 913 |
| 327, 23, 13, 103, 83 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 327 x 23 x 13 x 103 x 83 = 36777900588
Therefore, the lowest common multiple of 654,506,572,412,913 is 36777900588.
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.
654 x 506 x 572 x 412 x 913 = 71202015538368
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.
654 : 1, 2, 3, 6, 109, 218, 327, 654
506 : 1, 2, 11, 22, 23, 46, 253, 506
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
412 : 1, 2, 4, 103, 206, 412
913 : 1, 11, 83, 913
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 654,506,572,412,913, is 1.
Now, the common factors can be found like this.
654:2x 3x 109
506:2x 11x 23
572:2x 2x 11x 13
412:2x 2x 103
913:11x 83
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 2x 11x 11 = 1936
Therefore, the value for common factors is 1936.
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 = 71202015538368/(1x1936)
LCM = 71202015538368/1936
LCM = 36777900588
Thus, we can understand that the LCM of 654,506,572,412,913 is 36777900588.
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FAQs on LCM of 654, 506, 572, 412, 913
1. What is the LCM of 654, 506, 572, 412, 913?
Answer: LCM of 654, 506, 572, 412, 913 is 36777900588.
2. How to calculate the LCM of 654, 506, 572, 412, 913?
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 654, 506, 572, 412, 913.
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}.