LCM of 576, 970, 468, 868, 855
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 576, 970, 468, 868, 855 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 576, 970, 468, 868, 855. So, keep reading to learn more.
Given numbers are 576,970,468,868,855
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 576,970,468,868,855 is 14973416640.
Find LCM of 576,970,468,868,855 with Prime Factorization
| 2 | 576, 970, 468, 868, 855 |
| 2 | 288, 485, 234, 434, 855 |
| 3 | 144, 485, 117, 217, 855 |
| 3 | 48, 485, 39, 217, 285 |
| 5 | 16, 485, 13, 217, 95 |
| 16, 97, 13, 217, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 16 x 97 x 13 x 217 x 19 = 14973416640
Therefore, the lowest common multiple of 576,970,468,868,855 is 14973416640.
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.
576 x 970 x 468 x 868 x 855 = 194055479654400
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.
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
970 : 1, 2, 5, 10, 97, 194, 485, 970
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 576,970,468,868,855, is 1.
Now, the common factors can be found like this.
576:2x 2x 2x 2x 2x 2x 3x 3
970:2x 5x 97
468:2x 2x 3x 3x 13
868:2x 2x 7x 31
855:3x 3x 5x 19
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 5 = 12960
Therefore, the value for common factors is 12960.
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 = 194055479654400/(1x12960)
LCM = 194055479654400/12960
LCM = 14973416640
Thus, we can understand that the LCM of 576,970,468,868,855 is 14973416640.
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FAQs on LCM of 576, 970, 468, 868, 855
1. What is the LCM of 576, 970, 468, 868, 855?
Answer: LCM of 576, 970, 468, 868, 855 is 14973416640.
2. How to calculate the LCM of 576, 970, 468, 868, 855?
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 576, 970, 468, 868, 855.
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}.