LCM of 375, 864, 828, 667, 840
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 375, 864, 828, 667, 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 375, 864, 828, 667, 840. So, keep reading to learn more.
Given numbers are 375,864,828,667,840
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 375,864,828,667,840 is 504252000.
Find LCM of 375,864,828,667,840 with Prime Factorization
| 2 | 375, 864, 828, 667, 840 |
| 2 | 375, 432, 414, 667, 420 |
| 2 | 375, 216, 207, 667, 210 |
| 3 | 375, 108, 207, 667, 105 |
| 3 | 125, 36, 69, 667, 35 |
| 5 | 125, 12, 23, 667, 35 |
| 23 | 25, 12, 23, 667, 7 |
| 25, 12, 1, 29, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 5 x 23 x 25 x 12 x 1 x 29 x 7 = 504252000
Therefore, the lowest common multiple of 375,864,828,667,840 is 504252000.
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.
375 x 864 x 828 x 667 x 840 = 150307436160000
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.
375 : 1, 3, 5, 15, 25, 75, 125, 375
864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
667 : 1, 23, 29, 667
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 375,864,828,667,840, is 1.
Now, the common factors can be found like this.
375:3x 5x 5x 5
864:2x 2x 2x 2x 2x 3x 3x 3
828:2x 2x 3x 3x 23
667:23x 29
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 3x 3x 3x 3x 5x 23 = 298080
Therefore, the value for common factors is 298080.
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 = 150307436160000/(1x298080)
LCM = 150307436160000/298080
LCM = 504252000
Thus, we can understand that the LCM of 375,864,828,667,840 is 504252000.
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FAQs on LCM of 375, 864, 828, 667, 840
1. What is the LCM of 375, 864, 828, 667, 840?
Answer: LCM of 375, 864, 828, 667, 840 is 504252000.
2. How to calculate the LCM of 375, 864, 828, 667, 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 375, 864, 828, 667, 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}.