LCM of 730, 102, 510, 219
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 730, 102, 510, 219 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 730, 102, 510, 219. So, keep reading to learn more.
Given numbers are 730,102,510,219
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 730,102,510,219 is 37230.
Find LCM of 730,102,510,219 with Prime Factorization
| 2 | 730, 102, 510, 219 |
| 3 | 365, 51, 255, 219 |
| 5 | 365, 17, 85, 73 |
| 17 | 73, 17, 17, 73 |
| 73 | 73, 1, 1, 73 |
| 1, 1, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 17 x 73 x 1 x 1 x 1 x 1 = 37230
Therefore, the lowest common multiple of 730,102,510,219 is 37230.
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.
730 x 102 x 510 x 219 = 8316437400
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.
730 : 1, 2, 5, 10, 73, 146, 365, 730
102 : 1, 2, 3, 6, 17, 34, 51, 102
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
219 : 1, 3, 73, 219
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 730,102,510,219, is 1.
Now, the common factors can be found like this.
730:2x 5x 73
102:2x 3x 17
510:2x 3x 5x 17
219:3x 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 2x 3x 3x 5x 17x 73 = 223380
Therefore, the value for common factors is 223380.
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 = 8316437400/(1x223380)
LCM = 8316437400/223380
LCM = 37230
Thus, we can understand that the LCM of 730,102,510,219 is 37230.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 730, 102, 510, 219
1. What is the LCM of 730, 102, 510, 219?
Answer: LCM of 730, 102, 510, 219 is 37230.
2. How to calculate the LCM of 730, 102, 510, 219?
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 730, 102, 510, 219.
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}.