LCM of 471, 951, 616, 512, 506
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 471, 951, 616, 512, 506 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 471, 951, 616, 512, 506. So, keep reading to learn more.
Given numbers are 471,951,616,512,506
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 471,951,616,512,506 is 135384420864.
Find LCM of 471,951,616,512,506 with Prime Factorization
| 2 | 471, 951, 616, 512, 506 |
| 2 | 471, 951, 308, 256, 253 |
| 2 | 471, 951, 154, 128, 253 |
| 3 | 471, 951, 77, 64, 253 |
| 11 | 157, 317, 77, 64, 253 |
| 157, 317, 7, 64, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 11 x 157 x 317 x 7 x 64 x 23 = 135384420864
Therefore, the lowest common multiple of 471,951,616,512,506 is 135384420864.
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.
471 x 951 x 616 x 512 x 506 = 71482974216192
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.
471 : 1, 3, 157, 471
951 : 1, 3, 317, 951
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
506 : 1, 2, 11, 22, 23, 46, 253, 506
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 471,951,616,512,506, is 1.
Now, the common factors can be found like this.
471:3x 157
951:3x 317
616:2x 2x 2x 7x 11
512:2x 2x 2x 2x 2x 2x 2x 2x 2
506:2x 11x 23
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 3x 11 = 528
Therefore, the value for common factors is 528.
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 = 71482974216192/(1x528)
LCM = 71482974216192/528
LCM = 135384420864
Thus, we can understand that the LCM of 471,951,616,512,506 is 135384420864.
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FAQs on LCM of 471, 951, 616, 512, 506
1. What is the LCM of 471, 951, 616, 512, 506?
Answer: LCM of 471, 951, 616, 512, 506 is 135384420864.
2. How to calculate the LCM of 471, 951, 616, 512, 506?
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 471, 951, 616, 512, 506.
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}.