LCM of 637, 689, 483, 200, 106
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 637, 689, 483, 200, 106 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 637, 689, 483, 200, 106. So, keep reading to learn more.
Given numbers are 637,689,483,200,106
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 637,689,483,200,106 is 465901800.
Find LCM of 637,689,483,200,106 with Prime Factorization
| 2 | 637, 689, 483, 200, 106 |
| 7 | 637, 689, 483, 100, 53 |
| 13 | 91, 689, 69, 100, 53 |
| 53 | 7, 53, 69, 100, 53 |
| 7, 1, 69, 100, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 13 x 53 x 7 x 1 x 69 x 100 x 1 = 465901800
Therefore, the lowest common multiple of 637,689,483,200,106 is 465901800.
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.
637 x 689 x 483 x 200 x 106 = 4494088762800
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.
637 : 1, 7, 13, 49, 91, 637
689 : 1, 13, 53, 689
483 : 1, 3, 7, 21, 23, 69, 161, 483
200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
106 : 1, 2, 53, 106
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 637,689,483,200,106, is 1.
Now, the common factors can be found like this.
637:7x 7x 13
689:13x 53
483:3x 7x 23
200:2x 2x 2x 5x 5
106:2x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 13x 53 = 9646
Therefore, the value for common factors is 9646.
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 = 4494088762800/(1x9646)
LCM = 4494088762800/9646
LCM = 465901800
Thus, we can understand that the LCM of 637,689,483,200,106 is 465901800.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 637, 689, 483, 200, 106
1. What is the LCM of 637, 689, 483, 200, 106?
Answer: LCM of 637, 689, 483, 200, 106 is 465901800.
2. How to calculate the LCM of 637, 689, 483, 200, 106?
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 637, 689, 483, 200, 106.
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}.