LCM of 604, 302, 500, 364, 564
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 604, 302, 500, 364, 564 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 604, 302, 500, 364, 564. So, keep reading to learn more.
Given numbers are 604,302,500,364,564
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 604,302,500,364,564 is 968740500.
Find LCM of 604,302,500,364,564 with Prime Factorization
| 2 | 604, 302, 500, 364, 564 |
| 2 | 302, 151, 250, 182, 282 |
| 151 | 151, 151, 125, 91, 141 |
| 1, 1, 125, 91, 141 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 151 x 1 x 1 x 125 x 91 x 141 = 968740500
Therefore, the lowest common multiple of 604,302,500,364,564 is 968740500.
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.
604 x 302 x 500 x 364 x 564 = 18723816384000
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.
604 : 1, 2, 4, 151, 302, 604
302 : 1, 2, 151, 302
500 : 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 604,302,500,364,564, is 2.
Now, the common factors can be found like this.
604:2x 2x 151
302:2x 151
500:2x 2x 5x 5x 5
364:2x 2x 7x 13
564:2x 2x 3x 47
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 2x 2x 2x 2x 151 = 9664
Therefore, the value for common factors is 9664.
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 = 18723816384000/(2x9664)
LCM = 18723816384000/19328
LCM = 968740500
Thus, we can understand that the LCM of 604,302,500,364,564 is 968740500.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 604, 302, 500, 364, 564
1. What is the LCM of 604, 302, 500, 364, 564?
Answer: LCM of 604, 302, 500, 364, 564 is 968740500.
2. How to calculate the LCM of 604, 302, 500, 364, 564?
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 604, 302, 500, 364, 564.
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}.