LCM of 583, 745, 440, 709, 776
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 583, 745, 440, 709, 776 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 583, 745, 440, 709, 776. So, keep reading to learn more.
Given numbers are 583,745,440,709,776
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 583,745,440,709,776 is 238964167640.
Find LCM of 583,745,440,709,776 with Prime Factorization
| 2 | 583, 745, 440, 709, 776 |
| 2 | 583, 745, 220, 709, 388 |
| 2 | 583, 745, 110, 709, 194 |
| 5 | 583, 745, 55, 709, 97 |
| 11 | 583, 149, 11, 709, 97 |
| 53, 149, 1, 709, 97 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 11 x 53 x 149 x 1 x 709 x 97 = 238964167640
Therefore, the lowest common multiple of 583,745,440,709,776 is 238964167640.
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.
583 x 745 x 440 x 709 x 776 = 105144233761600
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.
583 : 1, 11, 53, 583
745 : 1, 5, 149, 745
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
709 : 1, 709
776 : 1, 2, 4, 8, 97, 194, 388, 776
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 583,745,440,709,776, is 1.
Now, the common factors can be found like this.
583:11x 53
745:5x 149
440:2x 2x 2x 5x 11
709:709
776:2x 2x 2x 97
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 5x 11 = 440
Therefore, the value for common factors is 440.
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 = 105144233761600/(1x440)
LCM = 105144233761600/440
LCM = 238964167640
Thus, we can understand that the LCM of 583,745,440,709,776 is 238964167640.
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FAQs on LCM of 583, 745, 440, 709, 776
1. What is the LCM of 583, 745, 440, 709, 776?
Answer: LCM of 583, 745, 440, 709, 776 is 238964167640.
2. How to calculate the LCM of 583, 745, 440, 709, 776?
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 583, 745, 440, 709, 776.
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}.