LCM of 299, 916, 702, 302, 506
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 299, 916, 702, 302, 506 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 299, 916, 702, 302, 506. So, keep reading to learn more.
Given numbers are 299,916,702,302,506
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 299,916,702,302,506 is 12282875748.
Find LCM of 299,916,702,302,506 with Prime Factorization
| 2 | 299, 916, 702, 302, 506 |
| 13 | 299, 458, 351, 151, 253 |
| 23 | 23, 458, 27, 151, 253 |
| 1, 458, 27, 151, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 23 x 1 x 458 x 27 x 151 x 11 = 12282875748
Therefore, the lowest common multiple of 299,916,702,302,506 is 12282875748.
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.
299 x 916 x 702 x 302 x 506 = 29380638789216
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.
299 : 1, 13, 23, 299
916 : 1, 2, 4, 229, 458, 916
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
302 : 1, 2, 151, 302
506 : 1, 2, 11, 22, 23, 46, 253, 506
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 299,916,702,302,506, is 1.
Now, the common factors can be found like this.
299:13x 23
916:2x 2x 229
702:2x 3x 3x 3x 13
302:2x 151
506:2x 11x 23
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 13x 23 = 2392
Therefore, the value for common factors is 2392.
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 = 29380638789216/(1x2392)
LCM = 29380638789216/2392
LCM = 12282875748
Thus, we can understand that the LCM of 299,916,702,302,506 is 12282875748.
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FAQs on LCM of 299, 916, 702, 302, 506
1. What is the LCM of 299, 916, 702, 302, 506?
Answer: LCM of 299, 916, 702, 302, 506 is 12282875748.
2. How to calculate the LCM of 299, 916, 702, 302, 506?
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 299, 916, 702, 302, 506.
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}.