LCM of 636, 689, 600, 416
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 636, 689, 600, 416 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 636, 689, 600, 416. So, keep reading to learn more.
Given numbers are 636,689,600,416
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 636,689,600,416 is 1653600.
Find LCM of 636,689,600,416 with Prime Factorization
| 2 | 636, 689, 600, 416 |
| 2 | 318, 689, 300, 208 |
| 2 | 159, 689, 150, 104 |
| 3 | 159, 689, 75, 52 |
| 13 | 53, 689, 25, 52 |
| 53 | 53, 53, 25, 4 |
| 1, 1, 25, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 13 x 53 x 1 x 1 x 25 x 4 = 1653600
Therefore, the lowest common multiple of 636,689,600,416 is 1653600.
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.
636 x 689 x 600 x 416 = 109375718400
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.
636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
689 : 1, 13, 53, 689
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
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 636,689,600,416, is 1.
Now, the common factors can be found like this.
636:2x 2x 3x 53
689:13x 53
600:2x 2x 2x 3x 5x 5
416:2x 2x 2x 2x 2x 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 2x 2x 2x 3x 13x 53 = 66144
Therefore, the value for common factors is 66144.
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 = 109375718400/(1x66144)
LCM = 109375718400/66144
LCM = 1653600
Thus, we can understand that the LCM of 636,689,600,416 is 1653600.
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FAQs on LCM of 636, 689, 600, 416
1. What is the LCM of 636, 689, 600, 416?
Answer: LCM of 636, 689, 600, 416 is 1653600.
2. How to calculate the LCM of 636, 689, 600, 416?
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 636, 689, 600, 416.
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}.