LCM of 430, 785, 730, 258
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 430, 785, 730, 258 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 430, 785, 730, 258. So, keep reading to learn more.
Given numbers are 430,785,730,258
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 430,785,730,258 is 14784690.
Find LCM of 430,785,730,258 with Prime Factorization
| 2 | 430, 785, 730, 258 |
| 5 | 215, 785, 365, 129 |
| 43 | 43, 157, 73, 129 |
| 1, 157, 73, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 43 x 1 x 157 x 73 x 3 = 14784690
Therefore, the lowest common multiple of 430,785,730,258 is 14784690.
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.
430 x 785 x 730 x 258 = 63574167000
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.
430 : 1, 2, 5, 10, 43, 86, 215, 430
785 : 1, 5, 157, 785
730 : 1, 2, 5, 10, 73, 146, 365, 730
258 : 1, 2, 3, 6, 43, 86, 129, 258
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 430,785,730,258, is 1.
Now, the common factors can be found like this.
430:2x 5x 43
785:5x 157
730:2x 5x 73
258:2x 3x 43
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 5x 5x 43 = 4300
Therefore, the value for common factors is 4300.
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 = 63574167000/(1x4300)
LCM = 63574167000/4300
LCM = 14784690
Thus, we can understand that the LCM of 430,785,730,258 is 14784690.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 430, 785, 730, 258
1. What is the LCM of 430, 785, 730, 258?
Answer: LCM of 430, 785, 730, 258 is 14784690.
2. How to calculate the LCM of 430, 785, 730, 258?
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 430, 785, 730, 258.
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}.