LCM of 578, 334, 221, 835
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 578, 334, 221, 835 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 578, 334, 221, 835. So, keep reading to learn more.
Given numbers are 578,334,221,835
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 578,334,221,835 is 6274190.
Find LCM of 578,334,221,835 with Prime Factorization
| 2 | 578, 334, 221, 835 |
| 17 | 289, 167, 221, 835 |
| 167 | 17, 167, 13, 835 |
| 17, 1, 13, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 167 x 17 x 1 x 13 x 5 = 6274190
Therefore, the lowest common multiple of 578,334,221,835 is 6274190.
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.
578 x 334 x 221 x 835 = 35624850820
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.
578 : 1, 2, 17, 34, 289, 578
334 : 1, 2, 167, 334
221 : 1, 13, 17, 221
835 : 1, 5, 167, 835
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 578,334,221,835, is 1.
Now, the common factors can be found like this.
578:2x 17x 17
334:2x 167
221:13x 17
835:5x 167
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 17x 167 = 5678
Therefore, the value for common factors is 5678.
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 = 35624850820/(1x5678)
LCM = 35624850820/5678
LCM = 6274190
Thus, we can understand that the LCM of 578,334,221,835 is 6274190.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 578, 334, 221, 835
1. What is the LCM of 578, 334, 221, 835?
Answer: LCM of 578, 334, 221, 835 is 6274190.
2. How to calculate the LCM of 578, 334, 221, 835?
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 578, 334, 221, 835.
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}.