LCM of 338, 507, 686, 714, 900
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 338, 507, 686, 714, 900 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 338, 507, 686, 714, 900. So, keep reading to learn more.
Given numbers are 338,507,686,714,900
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 338,507,686,714,900 is 886895100.
Find LCM of 338,507,686,714,900 with Prime Factorization
| 2 | 338, 507, 686, 714, 900 |
| 3 | 169, 507, 343, 357, 450 |
| 7 | 169, 169, 343, 119, 150 |
| 13 | 169, 169, 49, 17, 150 |
| 13 | 13, 13, 49, 17, 150 |
| 1, 1, 49, 17, 150 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 13 x 13 x 1 x 1 x 49 x 17 x 150 = 886895100
Therefore, the lowest common multiple of 338,507,686,714,900 is 886895100.
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.
338 x 507 x 686 x 714 x 900 = 75542177037600
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.
338 : 1, 2, 13, 26, 169, 338
507 : 1, 3, 13, 39, 169, 507
686 : 1, 2, 7, 14, 49, 98, 343, 686
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,507,686,714,900, is 1.
Now, the common factors can be found like this.
338:2x 13x 13
507:3x 13x 13
686:2x 7x 7x 7
714:2x 3x 7x 17
900:2x 2x 3x 3x 5x 5
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 7x 13x 13 = 85176
Therefore, the value for common factors is 85176.
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 = 75542177037600/(1x85176)
LCM = 75542177037600/85176
LCM = 886895100
Thus, we can understand that the LCM of 338,507,686,714,900 is 886895100.
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FAQs on LCM of 338, 507, 686, 714, 900
1. What is the LCM of 338, 507, 686, 714, 900?
Answer: LCM of 338, 507, 686, 714, 900 is 886895100.
2. How to calculate the LCM of 338, 507, 686, 714, 900?
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 338, 507, 686, 714, 900.
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}.