LCM of 229, 748, 930, 682
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 229, 748, 930, 682 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 229, 748, 930, 682. So, keep reading to learn more.
Given numbers are 229,748,930,682
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 229,748,930,682 is 79650780.
Find LCM of 229,748,930,682 with Prime Factorization
| 2 | 229, 748, 930, 682 |
| 11 | 229, 374, 465, 341 |
| 31 | 229, 34, 465, 31 |
| 229, 34, 15, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 31 x 229 x 34 x 15 x 1 = 79650780
Therefore, the lowest common multiple of 229,748,930,682 is 79650780.
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.
229 x 748 x 930 x 682 = 108643663920
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.
229 : 1, 229
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
682 : 1, 2, 11, 22, 31, 62, 341, 682
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 229,748,930,682, is 1.
Now, the common factors can be found like this.
229:229
748:2x 2x 11x 17
930:2x 3x 5x 31
682:2x 11x 31
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 11x 31 = 1364
Therefore, the value for common factors is 1364.
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 = 108643663920/(1x1364)
LCM = 108643663920/1364
LCM = 79650780
Thus, we can understand that the LCM of 229,748,930,682 is 79650780.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 229, 748, 930, 682
1. What is the LCM of 229, 748, 930, 682?
Answer: LCM of 229, 748, 930, 682 is 79650780.
2. How to calculate the LCM of 229, 748, 930, 682?
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 229, 748, 930, 682.
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}.