LCM of 229, 423, 820, 949, 146
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 229, 423, 820, 949, 146 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, 423, 820, 949, 146. So, keep reading to learn more.
Given numbers are 229,423,820,949,146
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 229,423,820,949,146 is 75379962060.
Find LCM of 229,423,820,949,146 with Prime Factorization
| 2 | 229, 423, 820, 949, 146 |
| 73 | 229, 423, 410, 949, 73 |
| 229, 423, 410, 13, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 73 x 229 x 423 x 410 x 13 x 1 = 75379962060
Therefore, the lowest common multiple of 229,423,820,949,146 is 75379962060.
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 423 x 820 x 949 x 146 = 11005474460760
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
423 : 1, 3, 9, 47, 141, 423
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
949 : 1, 13, 73, 949
146 : 1, 2, 73, 146
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 229,423,820,949,146, is 1.
Now, the common factors can be found like this.
229:229
423:3x 3x 47
820:2x 2x 5x 41
949:13x 73
146:2x 73
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 73 = 146
Therefore, the value for common factors is 146.
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 = 11005474460760/(1x146)
LCM = 11005474460760/146
LCM = 75379962060
Thus, we can understand that the LCM of 229,423,820,949,146 is 75379962060.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 229, 423, 820, 949, 146
1. What is the LCM of 229, 423, 820, 949, 146?
Answer: LCM of 229, 423, 820, 949, 146 is 75379962060.
2. How to calculate the LCM of 229, 423, 820, 949, 146?
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, 423, 820, 949, 146.
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}.