LCM of 512, 983, 169, 572
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 512, 983, 169, 572 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 512, 983, 169, 572. So, keep reading to learn more.
Given numbers are 512,983,169,572
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 512,983,169,572 is 935627264.
Find LCM of 512,983,169,572 with Prime Factorization
| 2 | 512, 983, 169, 572 |
| 2 | 256, 983, 169, 286 |
| 13 | 128, 983, 169, 143 |
| 128, 983, 13, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 128 x 983 x 13 x 11 = 935627264
Therefore, the lowest common multiple of 512,983,169,572 is 935627264.
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.
512 x 983 x 169 x 572 = 48652617728
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.
512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
983 : 1, 983
169 : 1, 13, 169
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 512,983,169,572, is 1.
Now, the common factors can be found like this.
512:2x 2x 2x 2x 2x 2x 2x 2x 2
983:983
169:13x 13
572:2x 2x 11x 13
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 13 = 52
Therefore, the value for common factors is 52.
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 = 48652617728/(1x52)
LCM = 48652617728/52
LCM = 935627264
Thus, we can understand that the LCM of 512,983,169,572 is 935627264.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 512, 983, 169, 572
1. What is the LCM of 512, 983, 169, 572?
Answer: LCM of 512, 983, 169, 572 is 935627264.
2. How to calculate the LCM of 512, 983, 169, 572?
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 512, 983, 169, 572.
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}.