LCM of 874, 864, 361, 540, 670
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 874, 864, 361, 540, 670 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 874, 864, 361, 540, 670. So, keep reading to learn more.
Given numbers are 874,864,361,540,670
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 874,864,361,540,670 is 2403220320.
Find LCM of 874,864,361,540,670 with Prime Factorization
| 2 | 874, 864, 361, 540, 670 |
| 2 | 437, 432, 361, 270, 335 |
| 3 | 437, 216, 361, 135, 335 |
| 3 | 437, 72, 361, 45, 335 |
| 3 | 437, 24, 361, 15, 335 |
| 5 | 437, 8, 361, 5, 335 |
| 19 | 437, 8, 361, 1, 67 |
| 23, 8, 19, 1, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 5 x 19 x 23 x 8 x 19 x 1 x 67 = 2403220320
Therefore, the lowest common multiple of 874,864,361,540,670 is 2403220320.
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.
874 x 864 x 361 x 540 x 670 = 98628161932800
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.
874 : 1, 2, 19, 23, 38, 46, 437, 874
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
361 : 1, 19, 361
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
670 : 1, 2, 5, 10, 67, 134, 335, 670
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 874,864,361,540,670, is 1.
Now, the common factors can be found like this.
874:2x 19x 23
864:2x 2x 2x 2x 2x 3x 3x 3
361:19x 19
540:2x 2x 3x 3x 3x 5
670:2x 5x 67
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 3x 3x 3x 5x 19 = 41040
Therefore, the value for common factors is 41040.
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 = 98628161932800/(1x41040)
LCM = 98628161932800/41040
LCM = 2403220320
Thus, we can understand that the LCM of 874,864,361,540,670 is 2403220320.
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FAQs on LCM of 874, 864, 361, 540, 670
1. What is the LCM of 874, 864, 361, 540, 670?
Answer: LCM of 874, 864, 361, 540, 670 is 2403220320.
2. How to calculate the LCM of 874, 864, 361, 540, 670?
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 874, 864, 361, 540, 670.
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}.