Find the LCM of 328, 304, 807, 546, 840 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 328, 304, 807, 546, 840. So, keep reading to learn more.
Given numbers are 328,304,807,546,840
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 328,304,807,546,840 is 4576593840.
Find LCM of 328,304,807,546,840 with Prime Factorization
2 | 328, 304, 807, 546, 840 |
2 | 164, 152, 807, 273, 420 |
2 | 82, 76, 807, 273, 210 |
3 | 41, 38, 807, 273, 105 |
7 | 41, 38, 269, 91, 35 |
41, 38, 269, 13, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 41 x 38 x 269 x 13 x 5 = 4576593840
Therefore, the lowest common multiple of 328,304,807,546,840 is 4576593840.
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.
328 x 304 x 807 x 546 x 840 = 36905652725760
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.
328 : 1, 2, 4, 8, 41, 82, 164, 328
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
807 : 1, 3, 269, 807
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 328,304,807,546,840, is 1.
Now, the common factors can be found like this.
328:2x 2x 2x 41
304:2x 2x 2x 2x 19
807:3x 269
546:2x 3x 7x 13
840:2x 2x 2x 3x 5x 7
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 2x 3x 3x 7 = 8064
Therefore, the value for common factors is 8064.
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 = 36905652725760/(1x8064)
LCM = 36905652725760/8064
LCM = 4576593840
Thus, we can understand that the LCM of 328,304,807,546,840 is 4576593840.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 328, 304, 807, 546, 840?
Answer: LCM of 328, 304, 807, 546, 840 is 4576593840.
2. How to calculate the LCM of 328, 304, 807, 546, 840?
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 328, 304, 807, 546, 840.
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}.