LCM of 105, 588, 420, 826, 709
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 105, 588, 420, 826, 709 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 105, 588, 420, 826, 709. So, keep reading to learn more.
Given numbers are 105,588,420,826,709
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 105,588,420,826,709 is 122983140.
Find LCM of 105,588,420,826,709 with Prime Factorization
| 2 | 105, 588, 420, 826, 709 |
| 2 | 105, 294, 210, 413, 709 |
| 3 | 105, 147, 105, 413, 709 |
| 5 | 35, 49, 35, 413, 709 |
| 7 | 7, 49, 7, 413, 709 |
| 1, 1, 7, 59, 709 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 1 x 1 x 7 x 59 x 709 = 122983140
Therefore, the lowest common multiple of 105,588,420,826,709 is 122983140.
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.
105 x 588 x 420 x 826 x 709 = 15185958127200
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.
105 : 1, 3, 5, 7, 15, 21, 35, 105
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
826 : 1, 2, 7, 14, 59, 118, 413, 826
709 : 1, 709
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 105,588,420,826,709, is 1.
Now, the common factors can be found like this.
105:3x 5x 7
588:2x 2x 3x 7x 7
420:2x 2x 3x 5x 7
826:2x 7x 59
709:709
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 3x 3x 5x 7x 7x 7 = 123480
Therefore, the value for common factors is 123480.
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 = 15185958127200/(1x123480)
LCM = 15185958127200/123480
LCM = 122983140
Thus, we can understand that the LCM of 105,588,420,826,709 is 122983140.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 105, 588, 420, 826, 709
1. What is the LCM of 105, 588, 420, 826, 709?
Answer: LCM of 105, 588, 420, 826, 709 is 122983140.
2. How to calculate the LCM of 105, 588, 420, 826, 709?
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 105, 588, 420, 826, 709.
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}.