LCM of 549, 948, 869, 640, 215
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 549, 948, 869, 640, 215 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 549, 948, 869, 640, 215. So, keep reading to learn more.
Given numbers are 549,948,869,640,215
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 549,948,869,640,215 is 13129269120.
Find LCM of 549,948,869,640,215 with Prime Factorization
| 2 | 549, 948, 869, 640, 215 |
| 2 | 549, 474, 869, 320, 215 |
| 3 | 549, 237, 869, 160, 215 |
| 5 | 183, 79, 869, 160, 215 |
| 79 | 183, 79, 869, 32, 43 |
| 183, 1, 11, 32, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 79 x 183 x 1 x 11 x 32 x 43 = 13129269120
Therefore, the lowest common multiple of 549,948,869,640,215 is 13129269120.
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.
549 x 948 x 869 x 640 x 215 = 62232735628800
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.
549 : 1, 3, 9, 61, 183, 549
948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
869 : 1, 11, 79, 869
640 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
215 : 1, 5, 43, 215
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 549,948,869,640,215, is 1.
Now, the common factors can be found like this.
549:3x 3x 61
948:2x 2x 3x 79
869:11x 79
640:2x 2x 2x 2x 2x 2x 2x 5
215:5x 43
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 3x 5x 79 = 4740
Therefore, the value for common factors is 4740.
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 = 62232735628800/(1x4740)
LCM = 62232735628800/4740
LCM = 13129269120
Thus, we can understand that the LCM of 549,948,869,640,215 is 13129269120.
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FAQs on LCM of 549, 948, 869, 640, 215
1. What is the LCM of 549, 948, 869, 640, 215?
Answer: LCM of 549, 948, 869, 640, 215 is 13129269120.
2. How to calculate the LCM of 549, 948, 869, 640, 215?
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 549, 948, 869, 640, 215.
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}.