LCM of 545, 835, 730, 659, 330
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 545, 835, 730, 659, 330 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 545, 835, 730, 659, 330. So, keep reading to learn more.
Given numbers are 545,835,730,659,330
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 545,835,730,659,330 is 288978267930.
Find LCM of 545,835,730,659,330 with Prime Factorization
| 2 | 545, 835, 730, 659, 330 |
| 5 | 545, 835, 365, 659, 165 |
| 109, 167, 73, 659, 33 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 109 x 167 x 73 x 659 x 33 = 288978267930
Therefore, the lowest common multiple of 545,835,730,659,330 is 288978267930.
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.
545 x 835 x 730 x 659 x 330 = 72244566982500
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.
545 : 1, 5, 109, 545
835 : 1, 5, 167, 835
730 : 1, 2, 5, 10, 73, 146, 365, 730
659 : 1, 659
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 545,835,730,659,330, is 1.
Now, the common factors can be found like this.
545:5x 109
835:5x 167
730:2x 5x 73
659:659
330:2x 3x 5x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 5x 5 = 250
Therefore, the value for common factors is 250.
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 = 72244566982500/(1x250)
LCM = 72244566982500/250
LCM = 288978267930
Thus, we can understand that the LCM of 545,835,730,659,330 is 288978267930.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 545, 835, 730, 659, 330
1. What is the LCM of 545, 835, 730, 659, 330?
Answer: LCM of 545, 835, 730, 659, 330 is 288978267930.
2. How to calculate the LCM of 545, 835, 730, 659, 330?
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 545, 835, 730, 659, 330.
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}.