LCM of 106, 676, 600, 411
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 106, 676, 600, 411 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 106, 676, 600, 411. So, keep reading to learn more.
Given numbers are 106,676,600,411
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 106,676,600,411 is 736265400.
Find LCM of 106,676,600,411 with Prime Factorization
| 2 | 106, 676, 600, 411 |
| 2 | 53, 338, 300, 411 |
| 3 | 53, 169, 150, 411 |
| 53, 169, 50, 137 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 53 x 169 x 50 x 137 = 736265400
Therefore, the lowest common multiple of 106,676,600,411 is 736265400.
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.
106 x 676 x 600 x 411 = 17670369600
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.
106 : 1, 2, 53, 106
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
411 : 1, 3, 137, 411
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 106,676,600,411, is 1.
Now, the common factors can be found like this.
106:2x 53
676:2x 2x 13x 13
600:2x 2x 2x 3x 5x 5
411:3x 137
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 3 = 24
Therefore, the value for common factors is 24.
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 = 17670369600/(1x24)
LCM = 17670369600/24
LCM = 736265400
Thus, we can understand that the LCM of 106,676,600,411 is 736265400.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 106, 676, 600, 411
1. What is the LCM of 106, 676, 600, 411?
Answer: LCM of 106, 676, 600, 411 is 736265400.
2. How to calculate the LCM of 106, 676, 600, 411?
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 106, 676, 600, 411.
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}.