LCM of 467, 616, 913, 512, 594
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 467, 616, 913, 512, 594 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 467, 616, 913, 512, 594. So, keep reading to learn more.
Given numbers are 467,616,913,512,594
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 467,616,913,512,594 is 41259068928.
Find LCM of 467,616,913,512,594 with Prime Factorization
| 2 | 467, 616, 913, 512, 594 |
| 2 | 467, 308, 913, 256, 297 |
| 2 | 467, 154, 913, 128, 297 |
| 11 | 467, 77, 913, 64, 297 |
| 467, 7, 83, 64, 27 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 467 x 7 x 83 x 64 x 27 = 41259068928
Therefore, the lowest common multiple of 467,616,913,512,594 is 41259068928.
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.
467 x 616 x 913 x 512 x 594 = 79877557444608
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.
467 : 1, 467
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
913 : 1, 11, 83, 913
512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 467,616,913,512,594, is 1.
Now, the common factors can be found like this.
467:467
616:2x 2x 2x 7x 11
913:11x 83
512:2x 2x 2x 2x 2x 2x 2x 2x 2
594:2x 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 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 = 79877557444608/(1x1936)
LCM = 79877557444608/1936
LCM = 41259068928
Thus, we can understand that the LCM of 467,616,913,512,594 is 41259068928.
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FAQs on LCM of 467, 616, 913, 512, 594
1. What is the LCM of 467, 616, 913, 512, 594?
Answer: LCM of 467, 616, 913, 512, 594 is 41259068928.
2. How to calculate the LCM of 467, 616, 913, 512, 594?
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 467, 616, 913, 512, 594.
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}.