LCM of 294, 385, 539, 604, 349
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 294, 385, 539, 604, 349 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 294, 385, 539, 604, 349. So, keep reading to learn more.
Given numbers are 294,385,539,604,349
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 294,385,539,604,349 is 1704285660.
Find LCM of 294,385,539,604,349 with Prime Factorization
| 2 | 294, 385, 539, 604, 349 |
| 7 | 147, 385, 539, 302, 349 |
| 7 | 21, 55, 77, 302, 349 |
| 11 | 3, 55, 11, 302, 349 |
| 3, 5, 1, 302, 349 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 7 x 11 x 3 x 5 x 1 x 302 x 349 = 1704285660
Therefore, the lowest common multiple of 294,385,539,604,349 is 1704285660.
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.
294 x 385 x 539 x 604 x 349 = 12860539590360
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.
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
385 : 1, 5, 7, 11, 35, 55, 77, 385
539 : 1, 7, 11, 49, 77, 539
604 : 1, 2, 4, 151, 302, 604
349 : 1, 349
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 294,385,539,604,349, is 1.
Now, the common factors can be found like this.
294:2x 3x 7x 7
385:5x 7x 11
539:7x 7x 11
604:2x 2x 151
349:349
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 7x 7x 11 = 7546
Therefore, the value for common factors is 7546.
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 = 12860539590360/(1x7546)
LCM = 12860539590360/7546
LCM = 1704285660
Thus, we can understand that the LCM of 294,385,539,604,349 is 1704285660.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 294, 385, 539, 604, 349
1. What is the LCM of 294, 385, 539, 604, 349?
Answer: LCM of 294, 385, 539, 604, 349 is 1704285660.
2. How to calculate the LCM of 294, 385, 539, 604, 349?
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 294, 385, 539, 604, 349.
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}.